Extensions 1→N→G→Q→1 with N=C32 and Q=C4xQ8

Direct product G=NxQ with N=C32 and Q=C4xQ8
dρLabelID
Q8xC3xC12288Q8xC3xC12288,816

Semidirect products G=N:Q with N=C32 and Q=C4xQ8
extensionφ:Q→Aut NdρLabelID
C32:(C4xQ8) = C4xPSU3(F2)φ: C4xQ8/C4Q8 ⊆ Aut C32368C3^2:(C4xQ8)288,892
C32:2(C4xQ8) = Dic3:5Dic6φ: C4xQ8/C2xC4C22 ⊆ Aut C3296C3^2:2(C4xQ8)288,485
C32:3(C4xQ8) = C62.8C23φ: C4xQ8/C2xC4C22 ⊆ Aut C3296C3^2:3(C4xQ8)288,486
C32:4(C4xQ8) = Dic3xDic6φ: C4xQ8/C2xC4C22 ⊆ Aut C3296C3^2:4(C4xQ8)288,490
C32:5(C4xQ8) = C62.13C23φ: C4xQ8/C2xC4C22 ⊆ Aut C3296C3^2:5(C4xQ8)288,491
C32:6(C4xQ8) = Dic3:6Dic6φ: C4xQ8/C2xC4C22 ⊆ Aut C3296C3^2:6(C4xQ8)288,492
C32:7(C4xQ8) = C4xC32:2Q8φ: C4xQ8/C2xC4C22 ⊆ Aut C3296C3^2:7(C4xQ8)288,565
C32:8(C4xQ8) = Q8xC32:C4φ: C4xQ8/Q8C4 ⊆ Aut C32488-C3^2:8(C4xQ8)288,938
C32:9(C4xQ8) = C12xDic6φ: C4xQ8/C42C2 ⊆ Aut C3296C3^2:9(C4xQ8)288,639
C32:10(C4xQ8) = C4xC32:4Q8φ: C4xQ8/C42C2 ⊆ Aut C32288C3^2:10(C4xQ8)288,725
C32:11(C4xQ8) = C3xDic6:C4φ: C4xQ8/C4:C4C2 ⊆ Aut C3296C3^2:11(C4xQ8)288,658
C32:12(C4xQ8) = C62.231C23φ: C4xQ8/C4:C4C2 ⊆ Aut C32288C3^2:12(C4xQ8)288,744
C32:13(C4xQ8) = C3xQ8xDic3φ: C4xQ8/C2xQ8C2 ⊆ Aut C3296C3^2:13(C4xQ8)288,716
C32:14(C4xQ8) = Q8xC3:Dic3φ: C4xQ8/C2xQ8C2 ⊆ Aut C32288C3^2:14(C4xQ8)288,802


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