Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C3⋊S3

Direct product G=N×Q with N=C8 and Q=C2×C3⋊S3
dρLabelID
C2×C8×C3⋊S3144C2xC8xC3:S3288,756

Semidirect products G=N:Q with N=C8 and Q=C2×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C81(C2×C3⋊S3) = C243D6φ: C2×C3⋊S3/C32C22 ⊆ Aut C872C8:1(C2xC3:S3)288,765
C82(C2×C3⋊S3) = C248D6φ: C2×C3⋊S3/C32C22 ⊆ Aut C872C8:2(C2xC3:S3)288,768
C83(C2×C3⋊S3) = C247D6φ: C2×C3⋊S3/C32C22 ⊆ Aut C872C8:3(C2xC3:S3)288,771
C84(C2×C3⋊S3) = D8×C3⋊S3φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C872C8:4(C2xC3:S3)288,767
C85(C2×C3⋊S3) = SD16×C3⋊S3φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C872C8:5(C2xC3:S3)288,770
C86(C2×C3⋊S3) = M4(2)×C3⋊S3φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C872C8:6(C2xC3:S3)288,763
C87(C2×C3⋊S3) = C2×C325D8φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8144C8:7(C2xC3:S3)288,760
C88(C2×C3⋊S3) = C2×C242S3φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8144C8:8(C2xC3:S3)288,759
C89(C2×C3⋊S3) = C2×C24⋊S3φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8144C8:9(C2xC3:S3)288,757

Non-split extensions G=N.Q with N=C8 and Q=C2×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C8.1(C2×C3⋊S3) = C24.5D6φ: C2×C3⋊S3/C32C22 ⊆ Aut C8144C8.1(C2xC3:S3)288,766
C8.2(C2×C3⋊S3) = C24.32D6φ: C2×C3⋊S3/C32C22 ⊆ Aut C8144C8.2(C2xC3:S3)288,772
C8.3(C2×C3⋊S3) = C24.35D6φ: C2×C3⋊S3/C32C22 ⊆ Aut C8144C8.3(C2xC3:S3)288,775
C8.4(C2×C3⋊S3) = C327D16φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.4(C2xC3:S3)288,301
C8.5(C2×C3⋊S3) = C328SD32φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.5(C2xC3:S3)288,302
C8.6(C2×C3⋊S3) = C3210SD32φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.6(C2xC3:S3)288,303
C8.7(C2×C3⋊S3) = C327Q32φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8288C8.7(C2xC3:S3)288,304
C8.8(C2×C3⋊S3) = C24.26D6φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.8(C2xC3:S3)288,769
C8.9(C2×C3⋊S3) = Q16×C3⋊S3φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.9(C2xC3:S3)288,774
C8.10(C2×C3⋊S3) = C24.28D6φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.10(C2xC3:S3)288,776
C8.11(C2×C3⋊S3) = C24.40D6φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.11(C2xC3:S3)288,773
C8.12(C2×C3⋊S3) = C24.47D6φ: C2×C3⋊S3/C3⋊S3C2 ⊆ Aut C8144C8.12(C2xC3:S3)288,764
C8.13(C2×C3⋊S3) = C325D16φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8144C8.13(C2xC3:S3)288,274
C8.14(C2×C3⋊S3) = C6.D24φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8144C8.14(C2xC3:S3)288,275
C8.15(C2×C3⋊S3) = C325Q32φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8288C8.15(C2xC3:S3)288,276
C8.16(C2×C3⋊S3) = C24.78D6φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8144C8.16(C2xC3:S3)288,761
C8.17(C2×C3⋊S3) = C2×C325Q16φ: C2×C3⋊S3/C3×C6C2 ⊆ Aut C8288C8.17(C2xC3:S3)288,762
C8.18(C2×C3⋊S3) = C16×C3⋊S3central extension (φ=1)144C8.18(C2xC3:S3)288,272
C8.19(C2×C3⋊S3) = C48⋊S3central extension (φ=1)144C8.19(C2xC3:S3)288,273
C8.20(C2×C3⋊S3) = C2×C24.S3central extension (φ=1)288C8.20(C2xC3:S3)288,286
C8.21(C2×C3⋊S3) = C24.94D6central extension (φ=1)144C8.21(C2xC3:S3)288,287
C8.22(C2×C3⋊S3) = C24.95D6central extension (φ=1)144C8.22(C2xC3:S3)288,758

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