# Extensions 1→N→G→Q→1 with N=C32 and Q=C2×M4(2)

Direct product G=N×Q with N=C32 and Q=C2×M4(2)
dρLabelID
M4(2)×C3×C6144M4(2)xC3xC6288,827

Semidirect products G=N:Q with N=C32 and Q=C2×M4(2)
extensionφ:Q→Aut NdρLabelID
C321(C2×M4(2)) = S3×C8⋊S3φ: C2×M4(2)/C8C22 ⊆ Aut C32484C3^2:1(C2xM4(2))288,438
C322(C2×M4(2)) = C24⋊D6φ: C2×M4(2)/C8C22 ⊆ Aut C32484C3^2:2(C2xM4(2))288,439
C323(C2×M4(2)) = C2×C32⋊M4(2)φ: C2×M4(2)/C2×C4C4 ⊆ Aut C3248C3^2:3(C2xM4(2))288,930
C324(C2×M4(2)) = C3⋊S3⋊M4(2)φ: C2×M4(2)/C2×C4C4 ⊆ Aut C32244C3^2:4(C2xM4(2))288,931
C325(C2×M4(2)) = S3×C4.Dic3φ: C2×M4(2)/C2×C4C22 ⊆ Aut C32484C3^2:5(C2xM4(2))288,461
C326(C2×M4(2)) = C3⋊C820D6φ: C2×M4(2)/C2×C4C22 ⊆ Aut C32244C3^2:6(C2xM4(2))288,466
C327(C2×M4(2)) = C2×D6.Dic3φ: C2×M4(2)/C2×C4C22 ⊆ Aut C3296C3^2:7(C2xM4(2))288,467
C328(C2×M4(2)) = C2×C12.31D6φ: C2×M4(2)/C2×C4C22 ⊆ Aut C3248C3^2:8(C2xM4(2))288,468
C329(C2×M4(2)) = C2×C62.C4φ: C2×M4(2)/C23C4 ⊆ Aut C3248C3^2:9(C2xM4(2))288,940
C3210(C2×M4(2)) = C6×C8⋊S3φ: C2×M4(2)/C2×C8C2 ⊆ Aut C3296C3^2:10(C2xM4(2))288,671
C3211(C2×M4(2)) = C2×C24⋊S3φ: C2×M4(2)/C2×C8C2 ⊆ Aut C32144C3^2:11(C2xM4(2))288,757
C3212(C2×M4(2)) = C3×S3×M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C32484C3^2:12(C2xM4(2))288,677
C3213(C2×M4(2)) = M4(2)×C3⋊S3φ: C2×M4(2)/M4(2)C2 ⊆ Aut C3272C3^2:13(C2xM4(2))288,763
C3214(C2×M4(2)) = C6×C4.Dic3φ: C2×M4(2)/C22×C4C2 ⊆ Aut C3248C3^2:14(C2xM4(2))288,692
C3215(C2×M4(2)) = C2×C12.58D6φ: C2×M4(2)/C22×C4C2 ⊆ Aut C32144C3^2:15(C2xM4(2))288,778

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