Extensions 1→N→G→Q→1 with N=C32 and Q=S3×C8

Direct product G=N×Q with N=C32 and Q=S3×C8
dρLabelID
S3×C3×C24144S3xC3xC24432,464

Semidirect products G=N:Q with N=C32 and Q=S3×C8
extensionφ:Q→Aut NdρLabelID
C321(S3×C8) = C32⋊C6⋊C8φ: S3×C8/C4D6 ⊆ Aut C32726C3^2:1(S3xC8)432,76
C322(S3×C8) = C12.89S32φ: S3×C8/C4D6 ⊆ Aut C32726C3^2:2(S3xC8)432,81
C323(S3×C8) = S3×F9φ: S3×C8/S3C8 ⊆ Aut C322416+C3^2:3(S3xC8)432,736
C324(S3×C8) = C8×C32⋊C6φ: S3×C8/C8S3 ⊆ Aut C32726C3^2:4(S3xC8)432,115
C325(S3×C8) = C8×He3⋊C2φ: S3×C8/C8S3 ⊆ Aut C32723C3^2:5(S3xC8)432,173
C326(S3×C8) = C335(C2×C8)φ: S3×C8/Dic3C4 ⊆ Aut C32248+C3^2:6(S3xC8)432,571
C327(S3×C8) = C3⋊S3×C3⋊C8φ: S3×C8/C12C22 ⊆ Aut C32144C3^2:7(S3xC8)432,431
C328(S3×C8) = C12.69S32φ: S3×C8/C12C22 ⊆ Aut C3272C3^2:8(S3xC8)432,432
C329(S3×C8) = C12.93S32φ: S3×C8/C12C22 ⊆ Aut C32484C3^2:9(S3xC8)432,455
C3210(S3×C8) = S3×C322C8φ: S3×C8/D6C4 ⊆ Aut C32488-C3^2:10(S3xC8)432,570
C3211(S3×C8) = C3×C12.29D6φ: S3×C8/C3⋊C8C2 ⊆ Aut C32484C3^2:11(S3xC8)432,415
C3212(S3×C8) = C3⋊S3×C24φ: S3×C8/C24C2 ⊆ Aut C32144C3^2:12(S3xC8)432,480
C3213(S3×C8) = C8×C33⋊C2φ: S3×C8/C24C2 ⊆ Aut C32216C3^2:13(S3xC8)432,496
C3214(S3×C8) = C3×S3×C3⋊C8φ: S3×C8/C4×S3C2 ⊆ Aut C32484C3^2:14(S3xC8)432,414
C3215(S3×C8) = S3×C324C8φ: S3×C8/C4×S3C2 ⊆ Aut C32144C3^2:15(S3xC8)432,430

Non-split extensions G=N.Q with N=C32 and Q=S3×C8
extensionφ:Q→Aut NdρLabelID
C32.(S3×C8) = C8×C9⋊C6φ: S3×C8/C8S3 ⊆ Aut C32726C3^2.(S3xC8)432,120
C32.2(S3×C8) = D9×C3⋊C8φ: S3×C8/C12C22 ⊆ Aut C321444C3^2.2(S3xC8)432,58
C32.3(S3×C8) = C36.38D6φ: S3×C8/C12C22 ⊆ Aut C32724C3^2.3(S3xC8)432,59
C32.4(S3×C8) = D9×C24φ: S3×C8/C24C2 ⊆ Aut C321442C3^2.4(S3xC8)432,105
C32.5(S3×C8) = C8×C9⋊S3φ: S3×C8/C24C2 ⊆ Aut C32216C3^2.5(S3xC8)432,169

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