Extensions 1→N→G→Q→1 with N=C4 and Q=S3xC3:S3

Direct product G=NxQ with N=C4 and Q=S3xC3:S3
dρLabelID
C4xS3xC3:S372C4xS3xC3:S3432,670

Semidirect products G=N:Q with N=C4 and Q=S3xC3:S3
extensionφ:Q→Aut NdρLabelID
C4:1(S3xC3:S3) = S3xC12:S3φ: S3xC3:S3/S3xC32C2 ⊆ Aut C472C4:1(S3xC3:S3)432,671
C4:2(S3xC3:S3) = C3:S3xD12φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C472C4:2(S3xC3:S3)432,672
C4:3(S3xC3:S3) = C12:S32φ: S3xC3:S3/C33:C2C2 ⊆ Aut C472C4:3(S3xC3:S3)432,673

Non-split extensions G=N.Q with N=C4 and Q=S3xC3:S3
extensionφ:Q→Aut NdρLabelID
C4.1(S3xC3:S3) = C33:8D8φ: S3xC3:S3/S3xC32C2 ⊆ Aut C472C4.1(S3xC3:S3)432,438
C4.2(S3xC3:S3) = C33:16SD16φ: S3xC3:S3/S3xC32C2 ⊆ Aut C4144C4.2(S3xC3:S3)432,443
C4.3(S3xC3:S3) = C33:17SD16φ: S3xC3:S3/S3xC32C2 ⊆ Aut C472C4.3(S3xC3:S3)432,444
C4.4(S3xC3:S3) = C33:8Q16φ: S3xC3:S3/S3xC32C2 ⊆ Aut C4144C4.4(S3xC3:S3)432,447
C4.5(S3xC3:S3) = S3xC32:4Q8φ: S3xC3:S3/S3xC32C2 ⊆ Aut C4144C4.5(S3xC3:S3)432,660
C4.6(S3xC3:S3) = C12.57S32φ: S3xC3:S3/S3xC32C2 ⊆ Aut C4144C4.6(S3xC3:S3)432,668
C4.7(S3xC3:S3) = C12.58S32φ: S3xC3:S3/S3xC32C2 ⊆ Aut C472C4.7(S3xC3:S3)432,669
C4.8(S3xC3:S3) = C33:7D8φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C472C4.8(S3xC3:S3)432,437
C4.9(S3xC3:S3) = C33:14SD16φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C4144C4.9(S3xC3:S3)432,441
C4.10(S3xC3:S3) = C33:15SD16φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C472C4.10(S3xC3:S3)432,442
C4.11(S3xC3:S3) = C33:7Q16φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C4144C4.11(S3xC3:S3)432,446
C4.12(S3xC3:S3) = (C3xD12):S3φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C4144C4.12(S3xC3:S3)432,661
C4.13(S3xC3:S3) = C3:S3xDic6φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C4144C4.13(S3xC3:S3)432,663
C4.14(S3xC3:S3) = C12.40S32φ: S3xC3:S3/C3xC3:S3C2 ⊆ Aut C472C4.14(S3xC3:S3)432,665
C4.15(S3xC3:S3) = C33:6D8φ: S3xC3:S3/C33:C2C2 ⊆ Aut C4144C4.15(S3xC3:S3)432,436
C4.16(S3xC3:S3) = C33:12SD16φ: S3xC3:S3/C33:C2C2 ⊆ Aut C4144C4.16(S3xC3:S3)432,439
C4.17(S3xC3:S3) = C33:13SD16φ: S3xC3:S3/C33:C2C2 ⊆ Aut C4144C4.17(S3xC3:S3)432,440
C4.18(S3xC3:S3) = C33:6Q16φ: S3xC3:S3/C33:C2C2 ⊆ Aut C4144C4.18(S3xC3:S3)432,445
C4.19(S3xC3:S3) = D12:(C3:S3)φ: S3xC3:S3/C33:C2C2 ⊆ Aut C472C4.19(S3xC3:S3)432,662
C4.20(S3xC3:S3) = C12.39S32φ: S3xC3:S3/C33:C2C2 ⊆ Aut C472C4.20(S3xC3:S3)432,664
C4.21(S3xC3:S3) = C32:9(S3xQ8)φ: S3xC3:S3/C33:C2C2 ⊆ Aut C472C4.21(S3xC3:S3)432,666
C4.22(S3xC3:S3) = S3xC32:4C8central extension (φ=1)144C4.22(S3xC3:S3)432,430
C4.23(S3xC3:S3) = C3:S3xC3:C8central extension (φ=1)144C4.23(S3xC3:S3)432,431
C4.24(S3xC3:S3) = C12.69S32central extension (φ=1)72C4.24(S3xC3:S3)432,432
C4.25(S3xC3:S3) = C33:7M4(2)central extension (φ=1)144C4.25(S3xC3:S3)432,433
C4.26(S3xC3:S3) = C33:8M4(2)central extension (φ=1)144C4.26(S3xC3:S3)432,434
C4.27(S3xC3:S3) = C33:9M4(2)central extension (φ=1)72C4.27(S3xC3:S3)432,435
C4.28(S3xC3:S3) = C12.73S32central extension (φ=1)72C4.28(S3xC3:S3)432,667

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