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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C2×C6

Direct product G=N×Q with N=C4 and Q=S3×C2×C6
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C4 and Q=S3×C2×C6
extensionφ:Q→Aut NdρLabelID
C4⋊1(S3×C2×C6) = S3×C6×D4φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C448C4:1(S3xC2xC6)288,992
C4⋊2(S3×C2×C6) = C2×C6×D12φ: S3×C2×C6/C62 → C2 ⊆ Aut C496C4:2(S3xC2xC6)288,990

Non-split extensions G=N.Q with N=C4 and Q=S3×C2×C6
extensionφ:Q→Aut NdρLabelID
C4.1(S3×C2×C6) = C3×S3×D8φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.1(S3xC2xC6)288,681
C4.2(S3×C2×C6) = C3×D8⋊S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.2(S3xC2xC6)288,682
C4.3(S3×C2×C6) = C3×D8⋊3S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.3(S3xC2xC6)288,683
C4.4(S3×C2×C6) = C3×S3×SD16φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.4(S3xC2xC6)288,684
C4.5(S3×C2×C6) = C3×Q8⋊3D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.5(S3xC2xC6)288,685
C4.6(S3×C2×C6) = C3×D4.D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.6(S3xC2xC6)288,686
C4.7(S3×C2×C6) = C3×Q8.7D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.7(S3xC2xC6)288,687
C4.8(S3×C2×C6) = C3×S3×Q16φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4964C4.8(S3xC2xC6)288,688
C4.9(S3×C2×C6) = C3×Q16⋊S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4964C4.9(S3xC2xC6)288,689
C4.10(S3×C2×C6) = C3×D24⋊C2φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4964C4.10(S3xC2xC6)288,690
C4.11(S3×C2×C6) = C6×D4⋊S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C448C4.11(S3xC2xC6)288,702
C4.12(S3×C2×C6) = C3×D12⋊6C22φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4244C4.12(S3xC2xC6)288,703
C4.13(S3×C2×C6) = C6×D4.S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C448C4.13(S3xC2xC6)288,704
C4.14(S3×C2×C6) = C6×Q8⋊2S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C496C4.14(S3xC2xC6)288,712
C4.15(S3×C2×C6) = C3×Q8.11D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.15(S3xC2xC6)288,713
C4.16(S3×C2×C6) = C6×C3⋊Q16φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C496C4.16(S3xC2xC6)288,714
C4.17(S3×C2×C6) = C3×D4⋊D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.17(S3xC2xC6)288,720
C4.18(S3×C2×C6) = C3×Q8.13D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.18(S3xC2xC6)288,721
C4.19(S3×C2×C6) = C3×Q8.14D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.19(S3xC2xC6)288,722
C4.20(S3×C2×C6) = C6×D4⋊2S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C448C4.20(S3xC2xC6)288,993
C4.21(S3×C2×C6) = C3×D4⋊6D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4244C4.21(S3xC2xC6)288,994
C4.22(S3×C2×C6) = S3×C6×Q8φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C496C4.22(S3xC2xC6)288,995
C4.23(S3×C2×C6) = C6×Q8⋊3S3φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C496C4.23(S3xC2xC6)288,996
C4.24(S3×C2×C6) = C3×Q8.15D6φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.24(S3xC2xC6)288,997
C4.25(S3×C2×C6) = C3×S3×C4○D4φ: S3×C2×C6/S3×C6 → C2 ⊆ Aut C4484C4.25(S3xC2xC6)288,998
C4.26(S3×C2×C6) = C6×C24⋊C2φ: S3×C2×C6/C62 → C2 ⊆ Aut C496C4.26(S3xC2xC6)288,673
C4.27(S3×C2×C6) = C6×D24φ: S3×C2×C6/C62 → C2 ⊆ Aut C496C4.27(S3xC2xC6)288,674
C4.28(S3×C2×C6) = C3×C4○D24φ: S3×C2×C6/C62 → C2 ⊆ Aut C4482C4.28(S3xC2xC6)288,675
C4.29(S3×C2×C6) = C6×Dic12φ: S3×C2×C6/C62 → C2 ⊆ Aut C496C4.29(S3xC2xC6)288,676
C4.30(S3×C2×C6) = C3×C8⋊D6φ: S3×C2×C6/C62 → C2 ⊆ Aut C4484C4.30(S3xC2xC6)288,679
C4.31(S3×C2×C6) = C3×C8.D6φ: S3×C2×C6/C62 → C2 ⊆ Aut C4484C4.31(S3xC2xC6)288,680
C4.32(S3×C2×C6) = C2×C6×Dic6φ: S3×C2×C6/C62 → C2 ⊆ Aut C496C4.32(S3xC2xC6)288,988
C4.33(S3×C2×C6) = C3×D4○D12φ: S3×C2×C6/C62 → C2 ⊆ Aut C4484C4.33(S3xC2xC6)288,999
C4.34(S3×C2×C6) = C3×Q8○D12φ: S3×C2×C6/C62 → C2 ⊆ Aut C4484C4.34(S3xC2xC6)288,1000
C4.35(S3×C2×C6) = S3×C2×C24central extension (φ=1)96C4.35(S3xC2xC6)288,670
C4.36(S3×C2×C6) = C6×C8⋊S3central extension (φ=1)96C4.36(S3xC2xC6)288,671
C4.37(S3×C2×C6) = C3×C8○D12central extension (φ=1)482C4.37(S3xC2xC6)288,672
C4.38(S3×C2×C6) = C3×S3×M4(2)central extension (φ=1)484C4.38(S3xC2xC6)288,677
C4.39(S3×C2×C6) = C3×D12.C4central extension (φ=1)484C4.39(S3xC2xC6)288,678
C4.40(S3×C2×C6) = C2×C6×C3⋊C8central extension (φ=1)96C4.40(S3xC2xC6)288,691
C4.41(S3×C2×C6) = C6×C4.Dic3central extension (φ=1)48C4.41(S3xC2xC6)288,692
C4.42(S3×C2×C6) = C3×D4.Dic3central extension (φ=1)484C4.42(S3xC2xC6)288,719
C4.43(S3×C2×C6) = C6×C4○D12central extension (φ=1)48C4.43(S3xC2xC6)288,991

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