Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C20

Direct product G=N×Q with N=C4 and Q=S3×C20
dρLabelID
S3×C4×C20240S3xC4xC20480,750

Semidirect products G=N:Q with N=C4 and Q=S3×C20
extensionφ:Q→Aut NdρLabelID
C41(S3×C20) = C5×Dic35D4φ: S3×C20/C5×Dic3C2 ⊆ Aut C4240C4:1(S3xC20)480,772
C42(S3×C20) = C20×D12φ: S3×C20/C60C2 ⊆ Aut C4240C4:2(S3xC20)480,752
C43(S3×C20) = C5×S3×C4⋊C4φ: S3×C20/S3×C10C2 ⊆ Aut C4240C4:3(S3xC20)480,770

Non-split extensions G=N.Q with N=C4 and Q=S3×C20
extensionφ:Q→Aut NdρLabelID
C4.1(S3×C20) = C5×C6.D8φ: S3×C20/C5×Dic3C2 ⊆ Aut C4240C4.1(S3xC20)480,128
C4.2(S3×C20) = C5×C6.SD16φ: S3×C20/C5×Dic3C2 ⊆ Aut C4480C4.2(S3xC20)480,129
C4.3(S3×C20) = C5×D12⋊C4φ: S3×C20/C5×Dic3C2 ⊆ Aut C41204C4.3(S3xC20)480,144
C4.4(S3×C20) = C5×Dic6⋊C4φ: S3×C20/C5×Dic3C2 ⊆ Aut C4480C4.4(S3xC20)480,766
C4.5(S3×C20) = C5×D12.C4φ: S3×C20/C5×Dic3C2 ⊆ Aut C42404C4.5(S3xC20)480,786
C4.6(S3×C20) = C5×C424S3φ: S3×C20/C60C2 ⊆ Aut C41202C4.6(S3xC20)480,124
C4.7(S3×C20) = C5×C2.Dic12φ: S3×C20/C60C2 ⊆ Aut C4480C4.7(S3xC20)480,135
C4.8(S3×C20) = C5×C2.D24φ: S3×C20/C60C2 ⊆ Aut C4240C4.8(S3xC20)480,140
C4.9(S3×C20) = C20×Dic6φ: S3×C20/C60C2 ⊆ Aut C4480C4.9(S3xC20)480,747
C4.10(S3×C20) = C5×C8○D12φ: S3×C20/C60C2 ⊆ Aut C42402C4.10(S3xC20)480,780
C4.11(S3×C20) = C5×C6.Q16φ: S3×C20/S3×C10C2 ⊆ Aut C4480C4.11(S3xC20)480,126
C4.12(S3×C20) = C5×C12.Q8φ: S3×C20/S3×C10C2 ⊆ Aut C4480C4.12(S3xC20)480,127
C4.13(S3×C20) = C5×C12.53D4φ: S3×C20/S3×C10C2 ⊆ Aut C42404C4.13(S3xC20)480,141
C4.14(S3×C20) = C5×C4⋊C47S3φ: S3×C20/S3×C10C2 ⊆ Aut C4240C4.14(S3xC20)480,771
C4.15(S3×C20) = C5×S3×M4(2)φ: S3×C20/S3×C10C2 ⊆ Aut C41204C4.15(S3xC20)480,785
C4.16(S3×C20) = S3×C80central extension (φ=1)2402C4.16(S3xC20)480,116
C4.17(S3×C20) = C5×D6.C8central extension (φ=1)2402C4.17(S3xC20)480,117
C4.18(S3×C20) = C20×C3⋊C8central extension (φ=1)480C4.18(S3xC20)480,121
C4.19(S3×C20) = C5×C42.S3central extension (φ=1)480C4.19(S3xC20)480,122
C4.20(S3×C20) = Dic3×C40central extension (φ=1)480C4.20(S3xC20)480,132
C4.21(S3×C20) = C5×C24⋊C4central extension (φ=1)480C4.21(S3xC20)480,134
C4.22(S3×C20) = C5×C422S3central extension (φ=1)240C4.22(S3xC20)480,751
C4.23(S3×C20) = S3×C2×C40central extension (φ=1)240C4.23(S3xC20)480,778
C4.24(S3×C20) = C10×C8⋊S3central extension (φ=1)240C4.24(S3xC20)480,779

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