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Extensions 1→N→G→Q→1 with N=C32 and Q=C2xC4:C4

Direct product G=NxQ with N=C32 and Q=C2xC4:C4
dρLabelID
C4:C4xC3xC6288C4:C4xC3xC6288,813

Semidirect products G=N:Q with N=C32 and Q=C2xC4:C4
extensionφ:Q→Aut NdρLabelID
C32:1(C2xC4:C4) = C2xC3:S3.Q8φ: C2xC4:C4/C22 → D4 ⊆ Aut C3248C3^2:1(C2xC4:C4)288,882
C32:2(C2xC4:C4) = C2xC2.PSU3(F2)φ: C2xC4:C4/C22 → Q8 ⊆ Aut C3248C3^2:2(C2xC4:C4)288,894
C32:3(C2xC4:C4) = C2xC4:(C32:C4)φ: C2xC4:C4/C2xC4 → C4 ⊆ Aut C3248C3^2:3(C2xC4:C4)288,933
C32:4(C2xC4:C4) = S3xDic3:C4φ: C2xC4:C4/C2xC4 → C22 ⊆ Aut C3296C3^2:4(C2xC4:C4)288,524
C32:5(C2xC4:C4) = C62.53C23φ: C2xC4:C4/C2xC4 → C22 ⊆ Aut C3248C3^2:5(C2xC4:C4)288,531
C32:6(C2xC4:C4) = S3xC4:Dic3φ: C2xC4:C4/C2xC4 → C22 ⊆ Aut C3296C3^2:6(C2xC4:C4)288,537
C32:7(C2xC4:C4) = C62.70C23φ: C2xC4:C4/C2xC4 → C22 ⊆ Aut C3248C3^2:7(C2xC4:C4)288,548
C32:8(C2xC4:C4) = C2xDic3:Dic3φ: C2xC4:C4/C23 → C22 ⊆ Aut C3296C3^2:8(C2xC4:C4)288,613
C32:9(C2xC4:C4) = C2xC62.C22φ: C2xC4:C4/C23 → C22 ⊆ Aut C3296C3^2:9(C2xC4:C4)288,615
C32:10(C2xC4:C4) = C3xS3xC4:C4φ: C2xC4:C4/C4:C4 → C2 ⊆ Aut C3296C3^2:10(C2xC4:C4)288,662
C32:11(C2xC4:C4) = C4:C4xC3:S3φ: C2xC4:C4/C4:C4 → C2 ⊆ Aut C32144C3^2:11(C2xC4:C4)288,748
C32:12(C2xC4:C4) = C6xDic3:C4φ: C2xC4:C4/C22xC4 → C2 ⊆ Aut C3296C3^2:12(C2xC4:C4)288,694
C32:13(C2xC4:C4) = C6xC4:Dic3φ: C2xC4:C4/C22xC4 → C2 ⊆ Aut C3296C3^2:13(C2xC4:C4)288,696
C32:14(C2xC4:C4) = C2xC6.Dic6φ: C2xC4:C4/C22xC4 → C2 ⊆ Aut C32288C3^2:14(C2xC4:C4)288,780
C32:15(C2xC4:C4) = C2xC12:Dic3φ: C2xC4:C4/C22xC4 → C2 ⊆ Aut C32288C3^2:15(C2xC4:C4)288,782


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