Extensions 1→N→G→Q→1 with N=A4⋊C4 and Q=C2

Direct product G=N×Q with N=A4⋊C4 and Q=C2
dρLabelID
C2×A4⋊C424C2xA4:C496,194

Semidirect products G=N:Q with N=A4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
A4⋊C4⋊C2 = A4⋊D4φ: C2/C1C2 ⊆ Out A4⋊C4126+A4:C4:C296,195
A4⋊C42C2 = C4×S4φ: trivial image123A4:C4:2C296,186

Non-split extensions G=N.Q with N=A4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
A4⋊C4.C2 = A4⋊Q8φ: C2/C1C2 ⊆ Out A4⋊C4246-A4:C4.C296,185

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