Extensions 1→N→G→Q→1 with N=C32 and Q=S3xC8

Direct product G=NxQ with N=C32 and Q=S3xC8
dρLabelID
S3xC3xC24144S3xC3xC24432,464

Semidirect products G=N:Q with N=C32 and Q=S3xC8
extensionφ:Q→Aut NdρLabelID
C32:1(S3xC8) = C32:C6:C8φ: S3xC8/C4D6 ⊆ Aut C32726C3^2:1(S3xC8)432,76
C32:2(S3xC8) = C12.89S32φ: S3xC8/C4D6 ⊆ Aut C32726C3^2:2(S3xC8)432,81
C32:3(S3xC8) = S3xF9φ: S3xC8/S3C8 ⊆ Aut C322416+C3^2:3(S3xC8)432,736
C32:4(S3xC8) = C8xC32:C6φ: S3xC8/C8S3 ⊆ Aut C32726C3^2:4(S3xC8)432,115
C32:5(S3xC8) = C8xHe3:C2φ: S3xC8/C8S3 ⊆ Aut C32723C3^2:5(S3xC8)432,173
C32:6(S3xC8) = C33:5(C2xC8)φ: S3xC8/Dic3C4 ⊆ Aut C32248+C3^2:6(S3xC8)432,571
C32:7(S3xC8) = C3:S3xC3:C8φ: S3xC8/C12C22 ⊆ Aut C32144C3^2:7(S3xC8)432,431
C32:8(S3xC8) = C12.69S32φ: S3xC8/C12C22 ⊆ Aut C3272C3^2:8(S3xC8)432,432
C32:9(S3xC8) = C12.93S32φ: S3xC8/C12C22 ⊆ Aut C32484C3^2:9(S3xC8)432,455
C32:10(S3xC8) = S3xC32:2C8φ: S3xC8/D6C4 ⊆ Aut C32488-C3^2:10(S3xC8)432,570
C32:11(S3xC8) = C3xC12.29D6φ: S3xC8/C3:C8C2 ⊆ Aut C32484C3^2:11(S3xC8)432,415
C32:12(S3xC8) = C3:S3xC24φ: S3xC8/C24C2 ⊆ Aut C32144C3^2:12(S3xC8)432,480
C32:13(S3xC8) = C8xC33:C2φ: S3xC8/C24C2 ⊆ Aut C32216C3^2:13(S3xC8)432,496
C32:14(S3xC8) = C3xS3xC3:C8φ: S3xC8/C4xS3C2 ⊆ Aut C32484C3^2:14(S3xC8)432,414
C32:15(S3xC8) = S3xC32:4C8φ: S3xC8/C4xS3C2 ⊆ Aut C32144C3^2:15(S3xC8)432,430

Non-split extensions G=N.Q with N=C32 and Q=S3xC8
extensionφ:Q→Aut NdρLabelID
C32.(S3xC8) = C8xC9:C6φ: S3xC8/C8S3 ⊆ Aut C32726C3^2.(S3xC8)432,120
C32.2(S3xC8) = D9xC3:C8φ: S3xC8/C12C22 ⊆ Aut C321444C3^2.2(S3xC8)432,58
C32.3(S3xC8) = C36.38D6φ: S3xC8/C12C22 ⊆ Aut C32724C3^2.3(S3xC8)432,59
C32.4(S3xC8) = D9xC24φ: S3xC8/C24C2 ⊆ Aut C321442C3^2.4(S3xC8)432,105
C32.5(S3xC8) = C8xC9:S3φ: S3xC8/C24C2 ⊆ Aut C32216C3^2.5(S3xC8)432,169

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