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Extensions 1→N→G→Q→1 with N=C32 and Q=C22:C8

Direct product G=NxQ with N=C32 and Q=C22:C8
dρLabelID
C32xC22:C8144C3^2xC2^2:C8288,316

Semidirect products G=N:Q with N=C32 and Q=C22:C8
extensionφ:Q→Aut NdρLabelID
C32:1(C22:C8) = S32:C8φ: C22:C8/C4 → D4 ⊆ Aut C32244C3^2:1(C2^2:C8)288,374
C32:2(C22:C8) = C22:F9φ: C22:C8/C22 → C8 ⊆ Aut C32248+C3^2:2(C2^2:C8)288,867
C32:3(C22:C8) = C62.6(C2xC4)φ: C22:C8/C2xC4 → C4 ⊆ Aut C3248C3^2:3(C2^2:C8)288,426
C32:4(C22:C8) = C12.77D12φ: C22:C8/C2xC4 → C22 ⊆ Aut C3296C3^2:4(C2^2:C8)288,204
C32:5(C22:C8) = C12.78D12φ: C22:C8/C2xC4 → C22 ⊆ Aut C3248C3^2:5(C2^2:C8)288,205
C32:6(C22:C8) = C62:3C8φ: C22:C8/C23 → C4 ⊆ Aut C3248C3^2:6(C2^2:C8)288,435
C32:7(C22:C8) = C3xD6:C8φ: C22:C8/C2xC8 → C2 ⊆ Aut C3296C3^2:7(C2^2:C8)288,254
C32:8(C22:C8) = C12.60D12φ: C22:C8/C2xC8 → C2 ⊆ Aut C32144C3^2:8(C2^2:C8)288,295
C32:9(C22:C8) = C3xC12.55D4φ: C22:C8/C22xC4 → C2 ⊆ Aut C3248C3^2:9(C2^2:C8)288,264
C32:10(C22:C8) = C62:7C8φ: C22:C8/C22xC4 → C2 ⊆ Aut C32144C3^2:10(C2^2:C8)288,305


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