Extensions 1→N→G→Q→1 with N=C4 and Q=C7⋊C12

Direct product G=N×Q with N=C4 and Q=C7⋊C12
dρLabelID
C4×C7⋊C12112C4xC7:C12336,14

Semidirect products G=N:Q with N=C4 and Q=C7⋊C12
extensionφ:Q→Aut NdρLabelID
C4⋊(C7⋊C12) = C28⋊C12φ: C7⋊C12/C2×C7⋊C3C2 ⊆ Aut C4112C4:(C7:C12)336,16

Non-split extensions G=N.Q with N=C4 and Q=C7⋊C12
extensionφ:Q→Aut NdρLabelID
C4.(C7⋊C12) = C28.C12φ: C7⋊C12/C2×C7⋊C3C2 ⊆ Aut C4566C4.(C7:C12)336,13
C4.2(C7⋊C12) = C7⋊C48central extension (φ=1)1126C4.2(C7:C12)336,1
C4.3(C7⋊C12) = C2×C7⋊C24central extension (φ=1)112C4.3(C7:C12)336,12

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