Extensions 1→N→G→Q→1 with N=C12 and Q=C8

Direct product G=NxQ with N=C12 and Q=C8
dρLabelID
C4xC2496C4xC2496,46

Semidirect products G=N:Q with N=C12 and Q=C8
extensionφ:Q→Aut NdρLabelID
C12:1C8 = C12:C8φ: C8/C4C2 ⊆ Aut C1296C12:1C896,11
C12:2C8 = C4xC3:C8φ: C8/C4C2 ⊆ Aut C1296C12:2C896,9
C12:3C8 = C3xC4:C8φ: C8/C4C2 ⊆ Aut C1296C12:3C896,55

Non-split extensions G=N.Q with N=C12 and Q=C8
extensionφ:Q→Aut NdρLabelID
C12.1C8 = C12.C8φ: C8/C4C2 ⊆ Aut C12482C12.1C896,19
C12.2C8 = C3:C32φ: C8/C4C2 ⊆ Aut C12962C12.2C896,1
C12.3C8 = C2xC3:C16φ: C8/C4C2 ⊆ Aut C1296C12.3C896,18
C12.4C8 = C3xM5(2)φ: C8/C4C2 ⊆ Aut C12482C12.4C896,60

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