Extensions 1→N→G→Q→1 with N=A4⋊C4 and Q=C22

Direct product G=N×Q with N=A4⋊C4 and Q=C22

Semidirect products G=N:Q with N=A4⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
A4⋊C41C22 = D4×S4φ: C22/C2C2 ⊆ Out A4⋊C4126+A4:C4:1C2^2192,1472
A4⋊C42C22 = C2×A4⋊D4φ: C22/C2C2 ⊆ Out A4⋊C424A4:C4:2C2^2192,1488
A4⋊C43C22 = C2×C4×S4φ: trivial image24A4:C4:3C2^2192,1469

Non-split extensions G=N.Q with N=A4⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
A4⋊C4.1C22 = C2×A4⋊Q8φ: C22/C2C2 ⊆ Out A4⋊C448A4:C4.1C2^2192,1468
A4⋊C4.2C22 = C24.10D6φ: C22/C2C2 ⊆ Out A4⋊C4246A4:C4.2C2^2192,1471
A4⋊C4.3C22 = D42S4φ: C22/C2C2 ⊆ Out A4⋊C4246A4:C4.3C2^2192,1473
A4⋊C4.4C22 = Q8×S4φ: C22/C2C2 ⊆ Out A4⋊C4246-A4:C4.4C2^2192,1477
A4⋊C4.5C22 = Q84S4φ: trivial image246A4:C4.5C2^2192,1478