Extensions 1→N→G→Q→1 with N=C3 and Q=A4:C8

Direct product G=NxQ with N=C3 and Q=A4:C8
dρLabelID
C3xA4:C8723C3xA4:C8288,398

Semidirect products G=N:Q with N=C3 and Q=A4:C8
extensionφ:Q→Aut NdρLabelID
C3:(A4:C8) = C12.12S4φ: A4:C8/C4xA4C2 ⊆ Aut C3726C3:(A4:C8)288,402

Non-split extensions G=N.Q with N=C3 and Q=A4:C8
extensionφ:Q→Aut NdρLabelID
C3.(A4:C8) = C12.S4φ: A4:C8/C4xA4C2 ⊆ Aut C3726C3.(A4:C8)288,68

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