Extensions 1→N→G→Q→1 with N=A4:Q8 and Q=C2

Direct product G=NxQ with N=A4:Q8 and Q=C2
dρLabelID
C2xA4:Q848C2xA4:Q8192,1468

Semidirect products G=N:Q with N=A4:Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
A4:Q8:1C2 = C8:2S4φ: C2/C1C2 ⊆ Out A4:Q8246A4:Q8:1C2192,960
A4:Q8:2C2 = A4:SD16φ: C2/C1C2 ⊆ Out A4:Q8246A4:Q8:2C2192,973
A4:Q8:3C2 = D4:2S4φ: C2/C1C2 ⊆ Out A4:Q8246A4:Q8:3C2192,1473
A4:Q8:4C2 = Q8xS4φ: C2/C1C2 ⊆ Out A4:Q8246-A4:Q8:4C2192,1477
A4:Q8:5C2 = C24.10D6φ: trivial image246A4:Q8:5C2192,1471

Non-split extensions G=N.Q with N=A4:Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
A4:Q8.1C2 = A4:Q16φ: C2/C1C2 ⊆ Out A4:Q8486-A4:Q8.1C2192,957
A4:Q8.2C2 = A4:2Q16φ: C2/C1C2 ⊆ Out A4:Q8486-A4:Q8.2C2192,975

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