<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0407</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-05-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001831096</issuerCik>
        <issuerName>Great Elm Group, Inc.</issuerName>
        <issuerTradingSymbol>GEG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001479613</rptOwnerCik>
            <rptOwnerName>Reese Jason W.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O IMPERIAL CAPITAL ASSET MANAGEMENT</rptOwnerStreet1>
            <rptOwnerStreet2>3801 PGA BOULEVARD, SUITE 603</rptOwnerStreet2>
            <rptOwnerCity>PALM BEACH GARDENS</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33410</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001805378</rptOwnerCik>
            <rptOwnerName>Imperial Capital Asset Management, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3801 PGA BOULEVARD, SUITE 603</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PALM BEACH GARDENS</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33410</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001308057</rptOwnerCik>
            <rptOwnerName>LONG BALL PARTNERS LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O IMPERIAL CAPITAL ASSET MANAGEMENT</rptOwnerStreet1>
            <rptOwnerStreet2>3801 PGA BOULEVARD, SUITE 603</rptOwnerStreet2>
            <rptOwnerCity>PALM BEACH GARDENS</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33410</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001961798</rptOwnerCik>
            <rptOwnerName>Imperial Capital Group Holdings II, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3801 PGA BOULEVARD, SUITE 603</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PALM BEACH GARDENS</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33410</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>2.05</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2023-05-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2033-05-11</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2000000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2000000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On May 11, 2023, the reporting person was granted an option (the &quot;Option&quot;) to purchase up to 2,000,000 shares of common stock of the Issuer (the &quot;Common Stock&quot;) as compensation for the reporting person's role as Chief Executive Officer of the Issuer. The Option will vest and become exercisable in five equal installments on the first, second, third, fourth and fifth anniversaries of May 5, 2023, subject to continued employment and subject to certain Stock Price Vesting Triggers (each, a &quot;Stock Price Vesting Trigger&quot;) as set forth below. For each of the five annual vesting tranches, the Stock Price Vesting Trigger will be deemed achieved as of the first date following May 11, 2023 that the 30 calendar-day trailing average of the trading price of the Common Stock (as measured by the volume-weighted average price) equals or exceeds:</footnote>
        <footnote id="F2">(Continued from footnote 1) (i) $4.07 for the first tranche, (ii) $6.00 for the second tranche, (iii) $8.00 for the third tranche, (iv) $10.00 for the fourth tranche and (v) $12.00 for the fifth tranche.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>By: /s/ Jason Reese</signatureName>
        <signatureDate>2023-05-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Long Ball Partners, LLC, By: Imperial Capital Asset Management, LLC, its Managing Member, By: /s/ Jason Reese, Chairman &amp; CEO</signatureName>
        <signatureDate>2023-05-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Imperial Capital Asset Management, LLC, By: /s/ Jason Reese, Chairman &amp; CEO</signatureName>
        <signatureDate>2023-05-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Imperial Capital Group Holdings II, LLC By: /s/ Jason Reese, its Authorized Signatory</signatureName>
        <signatureDate>2023-05-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
