# Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C8

Direct product G=N×Q with N=C4 and Q=S3×C8
dρLabelID
S3×C4×C896S3xC4xC8192,243

Semidirect products G=N:Q with N=C4 and Q=S3×C8
extensionφ:Q→Aut NdρLabelID
C41(S3×C8) = D12⋊C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C496C4:1(S3xC8)192,393
C42(S3×C8) = C8×D12φ: S3×C8/C24C2 ⊆ Aut C496C4:2(S3xC8)192,245
C43(S3×C8) = S3×C4⋊C8φ: S3×C8/C4×S3C2 ⊆ Aut C496C4:3(S3xC8)192,391

Non-split extensions G=N.Q with N=C4 and Q=S3×C8
extensionφ:Q→Aut NdρLabelID
C4.1(S3×C8) = D122C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C496C4.1(S3xC8)192,42
C4.2(S3×C8) = Dic62C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C4192C4.2(S3xC8)192,43
C4.3(S3×C8) = Dic6.C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C4964C4.3(S3xC8)192,74
C4.4(S3×C8) = Dic6⋊C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C4192C4.4(S3xC8)192,389
C4.5(S3×C8) = C16.12D6φ: S3×C8/C3⋊C8C2 ⊆ Aut C4964C4.5(S3xC8)192,466
C4.6(S3×C8) = C4.8Dic12φ: S3×C8/C24C2 ⊆ Aut C4192C4.6(S3xC8)192,15
C4.7(S3×C8) = C4.17D24φ: S3×C8/C24C2 ⊆ Aut C496C4.7(S3xC8)192,18
C4.8(S3×C8) = D12.C8φ: S3×C8/C24C2 ⊆ Aut C4962C4.8(S3xC8)192,67
C4.9(S3×C8) = C8×Dic6φ: S3×C8/C24C2 ⊆ Aut C4192C4.9(S3xC8)192,237
C4.10(S3×C8) = D12.4C8φ: S3×C8/C24C2 ⊆ Aut C4962C4.10(S3xC8)192,460
C4.11(S3×C8) = C12.53D8φ: S3×C8/C4×S3C2 ⊆ Aut C4192C4.11(S3xC8)192,38
C4.12(S3×C8) = C12.39SD16φ: S3×C8/C4×S3C2 ⊆ Aut C4192C4.12(S3xC8)192,39
C4.13(S3×C8) = C24.97D4φ: S3×C8/C4×S3C2 ⊆ Aut C4484C4.13(S3xC8)192,70
C4.14(S3×C8) = C42.200D6φ: S3×C8/C4×S3C2 ⊆ Aut C496C4.14(S3xC8)192,392
C4.15(S3×C8) = S3×M5(2)φ: S3×C8/C4×S3C2 ⊆ Aut C4484C4.15(S3xC8)192,465
C4.16(S3×C8) = S3×C32central extension (φ=1)962C4.16(S3xC8)192,5
C4.17(S3×C8) = C96⋊C2central extension (φ=1)962C4.17(S3xC8)192,6
C4.18(S3×C8) = C8×C3⋊C8central extension (φ=1)192C4.18(S3xC8)192,12
C4.19(S3×C8) = C42.279D6central extension (φ=1)192C4.19(S3xC8)192,13
C4.20(S3×C8) = Dic3×C16central extension (φ=1)192C4.20(S3xC8)192,59
C4.21(S3×C8) = C4810C4central extension (φ=1)192C4.21(S3xC8)192,61
C4.22(S3×C8) = C42.282D6central extension (φ=1)96C4.22(S3xC8)192,244
C4.23(S3×C8) = S3×C2×C16central extension (φ=1)96C4.23(S3xC8)192,458
C4.24(S3×C8) = C2×D6.C8central extension (φ=1)96C4.24(S3xC8)192,459

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