Extensions 1→N→G→Q→1 with N=C27 and Q=A4

Direct product G=N×Q with N=C27 and Q=A4
dρLabelID
A4×C271083A4xC27324,42

Semidirect products G=N:Q with N=C27 and Q=A4
extensionφ:Q→Aut NdρLabelID
C27⋊A4 = C27⋊A4φ: A4/C22C3 ⊆ Aut C271083C27:A4324,43

Non-split extensions G=N.Q with N=C27 and Q=A4
extensionφ:Q→Aut NdρLabelID
C27.A4 = C27.A4central extension (φ=1)1623C27.A4324,3

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