Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=A4

Direct product G=N×Q with N=3- 1+2 and Q=A4
dρLabelID
A4×3- 1+2369A4xES-(3,1)324,131

Semidirect products G=N:Q with N=3- 1+2 and Q=A4
extensionφ:Q→Out NdρLabelID
3- 1+21A4 = 3- 1+2⋊A4φ: A4/C22C3 ⊆ Out 3- 1+2549ES-(3,1):1A4324,57
3- 1+22A4 = C62.6C32φ: A4/C22C3 ⊆ Out 3- 1+2369ES-(3,1):2A4324,58
3- 1+23A4 = C62.9C32φ: trivial image549ES-(3,1):3A4324,132

Non-split extensions G=N.Q with N=3- 1+2 and Q=A4
extensionφ:Q→Out NdρLabelID
3- 1+2.A4 = C62.C32φ: A4/C22C3 ⊆ Out 3- 1+2549ES-(3,1).A4324,56

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