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

Direct product G=N×Q with N=Q8 and Q=A4
dρLabelID
Q8×A4246-Q8xA496,199

Semidirect products G=N:Q with N=Q8 and Q=A4
extensionφ:Q→Out NdρLabelID
Q81A4 = Q8⋊A4φ: A4/C22C3 ⊆ Out Q8246-Q8:1A496,203
Q82A4 = C23⋊A4φ: A4/C22C3 ⊆ Out Q884+Q8:2A496,204

Non-split extensions G=N.Q with N=Q8 and Q=A4
extensionφ:Q→Out NdρLabelID
Q8.A4 = Q8.A4φ: trivial image244+Q8.A496,201

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