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Extensions 1→N→G→Q→1 with N=C4 and Q=C32:4D6

Direct product G=NxQ with N=C4 and Q=C32:4D6
dρLabelID
C4xC32:4D6484C4xC3^2:4D6432,690

Semidirect products G=N:Q with N=C4 and Q=C32:4D6
extensionφ:Q→Aut NdρLabelID
C4:(C32:4D6) = C12:3S32φ: C32:4D6/C3xC3:S3 → C2 ⊆ Aut C4484C4:(C3^2:4D6)432,691

Non-split extensions G=N.Q with N=C4 and Q=C32:4D6
extensionφ:Q→Aut NdρLabelID
C4.1(C32:4D6) = C33:9D8φ: C32:4D6/C3xC3:S3 → C2 ⊆ Aut C4484C4.1(C3^2:4D6)432,457
C4.2(C32:4D6) = C33:18SD16φ: C32:4D6/C3xC3:S3 → C2 ⊆ Aut C4484C4.2(C3^2:4D6)432,458
C4.3(C32:4D6) = C33:9Q16φ: C32:4D6/C3xC3:S3 → C2 ⊆ Aut C4484C4.3(C3^2:4D6)432,459
C4.4(C32:4D6) = C3:S3:4Dic6φ: C32:4D6/C3xC3:S3 → C2 ⊆ Aut C4484C4.4(C3^2:4D6)432,687
C4.5(C32:4D6) = C12:S3:12S3φ: C32:4D6/C3xC3:S3 → C2 ⊆ Aut C4484C4.5(C3^2:4D6)432,688
C4.6(C32:4D6) = C12.93S32central extension (φ=1)484C4.6(C3^2:4D6)432,455
C4.7(C32:4D6) = C33:10M4(2)central extension (φ=1)484C4.7(C3^2:4D6)432,456
C4.8(C32:4D6) = C12.95S32central extension (φ=1)484C4.8(C3^2:4D6)432,689

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