Extensions 1→N→G→Q→1 with N=C32 and Q=C2xS4

Direct product G=NxQ with N=C32 and Q=C2xS4
dρLabelID
C3xC6xS454C3xC6xS4432,760

Semidirect products G=N:Q with N=C32 and Q=C2xS4
extensionφ:Q→Aut NdρLabelID
C32:(C2xS4) = C62:5D6φ: C2xS4/C22D6 ⊆ Aut C32186+C3^2:(C2xS4)432,523
C32:2(C2xS4) = C2xC62:S3φ: C2xS4/C23S3 ⊆ Aut C32186+C3^2:2(C2xS4)432,535
C32:3(C2xS4) = C2xC32:S4φ: C2xS4/C23S3 ⊆ Aut C32183C3^2:3(C2xS4)432,538
C32:4(C2xS4) = S3xC3:S4φ: C2xS4/A4C22 ⊆ Aut C322412+C3^2:4(C2xS4)432,747
C32:5(C2xS4) = C62:10D6φ: C2xS4/A4C22 ⊆ Aut C322412+C3^2:5(C2xS4)432,748
C32:6(C2xS4) = C3xS3xS4φ: C2xS4/S4C2 ⊆ Aut C32246C3^2:6(C2xS4)432,745
C32:7(C2xS4) = C3:S3xS4φ: C2xS4/S4C2 ⊆ Aut C3236C3^2:7(C2xS4)432,746
C32:8(C2xS4) = C6xC3:S4φ: C2xS4/C2xA4C2 ⊆ Aut C32366C3^2:8(C2xS4)432,761
C32:9(C2xS4) = C2xC32:4S4φ: C2xS4/C2xA4C2 ⊆ Aut C3254C3^2:9(C2xS4)432,762

Non-split extensions G=N.Q with N=C32 and Q=C2xS4
extensionφ:Q→Aut NdρLabelID
C32.(C2xS4) = C2xC32.S4φ: C2xS4/C23S3 ⊆ Aut C32186+C3^2.(C2xS4)432,533
C32.2(C2xS4) = S3xC3.S4φ: C2xS4/A4C22 ⊆ Aut C323612+C3^2.2(C2xS4)432,522
C32.3(C2xS4) = C6xC3.S4φ: C2xS4/C2xA4C2 ⊆ Aut C32366C3^2.3(C2xS4)432,534
C32.4(C2xS4) = C2xC32.3S4φ: C2xS4/C2xA4C2 ⊆ Aut C3254C3^2.4(C2xS4)432,537

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