Extensions 1→N→G→Q→1 with N=C32 and Q=C2xM4(2)

Direct product G=NxQ with N=C32 and Q=C2xM4(2)
dρLabelID
M4(2)xC3xC6144M4(2)xC3xC6288,827

Semidirect products G=N:Q with N=C32 and Q=C2xM4(2)
extensionφ:Q→Aut NdρLabelID
C32:1(C2xM4(2)) = S3xC8:S3φ: C2xM4(2)/C8C22 ⊆ Aut C32484C3^2:1(C2xM4(2))288,438
C32:2(C2xM4(2)) = C24:D6φ: C2xM4(2)/C8C22 ⊆ Aut C32484C3^2:2(C2xM4(2))288,439
C32:3(C2xM4(2)) = C2xC32:M4(2)φ: C2xM4(2)/C2xC4C4 ⊆ Aut C3248C3^2:3(C2xM4(2))288,930
C32:4(C2xM4(2)) = C3:S3:M4(2)φ: C2xM4(2)/C2xC4C4 ⊆ Aut C32244C3^2:4(C2xM4(2))288,931
C32:5(C2xM4(2)) = S3xC4.Dic3φ: C2xM4(2)/C2xC4C22 ⊆ Aut C32484C3^2:5(C2xM4(2))288,461
C32:6(C2xM4(2)) = C3:C8:20D6φ: C2xM4(2)/C2xC4C22 ⊆ Aut C32244C3^2:6(C2xM4(2))288,466
C32:7(C2xM4(2)) = C2xD6.Dic3φ: C2xM4(2)/C2xC4C22 ⊆ Aut C3296C3^2:7(C2xM4(2))288,467
C32:8(C2xM4(2)) = C2xC12.31D6φ: C2xM4(2)/C2xC4C22 ⊆ Aut C3248C3^2:8(C2xM4(2))288,468
C32:9(C2xM4(2)) = C2xC62.C4φ: C2xM4(2)/C23C4 ⊆ Aut C3248C3^2:9(C2xM4(2))288,940
C32:10(C2xM4(2)) = C6xC8:S3φ: C2xM4(2)/C2xC8C2 ⊆ Aut C3296C3^2:10(C2xM4(2))288,671
C32:11(C2xM4(2)) = C2xC24:S3φ: C2xM4(2)/C2xC8C2 ⊆ Aut C32144C3^2:11(C2xM4(2))288,757
C32:12(C2xM4(2)) = C3xS3xM4(2)φ: C2xM4(2)/M4(2)C2 ⊆ Aut C32484C3^2:12(C2xM4(2))288,677
C32:13(C2xM4(2)) = M4(2)xC3:S3φ: C2xM4(2)/M4(2)C2 ⊆ Aut C3272C3^2:13(C2xM4(2))288,763
C32:14(C2xM4(2)) = C6xC4.Dic3φ: C2xM4(2)/C22xC4C2 ⊆ Aut C3248C3^2:14(C2xM4(2))288,692
C32:15(C2xM4(2)) = C2xC12.58D6φ: C2xM4(2)/C22xC4C2 ⊆ Aut C32144C3^2:15(C2xM4(2))288,778


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