Extensions 1→N→G→Q→1 with N=A4⋊C4 and Q=C6

Direct product G=N×Q with N=A4⋊C4 and Q=C6
dρLabelID
C6×A4⋊C472C6xA4:C4288,905

Semidirect products G=N:Q with N=A4⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
A4⋊C4⋊C6 = C3×A4⋊D4φ: C6/C3C2 ⊆ Out A4⋊C4366A4:C4:C6288,906
A4⋊C42C6 = C12×S4φ: trivial image363A4:C4:2C6288,897

Non-split extensions G=N.Q with N=A4⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
A4⋊C4.C6 = C3×A4⋊Q8φ: C6/C3C2 ⊆ Out A4⋊C4726A4:C4.C6288,896

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