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Extensions 1→N→G→Q→1 with N=C8 and Q=C2xC3:S3

Direct product G=NxQ with N=C8 and Q=C2xC3:S3
dρLabelID
C2xC8xC3:S3144C2xC8xC3:S3288,756

Semidirect products G=N:Q with N=C8 and Q=C2xC3:S3
extensionφ:Q→Aut NdρLabelID
C8:1(C2xC3:S3) = C24:3D6φ: C2xC3:S3/C32 → C22 ⊆ Aut C872C8:1(C2xC3:S3)288,765
C8:2(C2xC3:S3) = C24:8D6φ: C2xC3:S3/C32 → C22 ⊆ Aut C872C8:2(C2xC3:S3)288,768
C8:3(C2xC3:S3) = C24:7D6φ: C2xC3:S3/C32 → C22 ⊆ Aut C872C8:3(C2xC3:S3)288,771
C8:4(C2xC3:S3) = D8xC3:S3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C872C8:4(C2xC3:S3)288,767
C8:5(C2xC3:S3) = SD16xC3:S3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C872C8:5(C2xC3:S3)288,770
C8:6(C2xC3:S3) = M4(2)xC3:S3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C872C8:6(C2xC3:S3)288,763
C8:7(C2xC3:S3) = C2xC32:5D8φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8144C8:7(C2xC3:S3)288,760
C8:8(C2xC3:S3) = C2xC24:2S3φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8144C8:8(C2xC3:S3)288,759
C8:9(C2xC3:S3) = C2xC24:S3φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8144C8:9(C2xC3:S3)288,757

Non-split extensions G=N.Q with N=C8 and Q=C2xC3:S3
extensionφ:Q→Aut NdρLabelID
C8.1(C2xC3:S3) = C24.5D6φ: C2xC3:S3/C32 → C22 ⊆ Aut C8144C8.1(C2xC3:S3)288,766
C8.2(C2xC3:S3) = C24.32D6φ: C2xC3:S3/C32 → C22 ⊆ Aut C8144C8.2(C2xC3:S3)288,772
C8.3(C2xC3:S3) = C24.35D6φ: C2xC3:S3/C32 → C22 ⊆ Aut C8144C8.3(C2xC3:S3)288,775
C8.4(C2xC3:S3) = C32:7D16φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.4(C2xC3:S3)288,301
C8.5(C2xC3:S3) = C32:8SD32φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.5(C2xC3:S3)288,302
C8.6(C2xC3:S3) = C32:10SD32φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.6(C2xC3:S3)288,303
C8.7(C2xC3:S3) = C32:7Q32φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8288C8.7(C2xC3:S3)288,304
C8.8(C2xC3:S3) = C24.26D6φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.8(C2xC3:S3)288,769
C8.9(C2xC3:S3) = Q16xC3:S3φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.9(C2xC3:S3)288,774
C8.10(C2xC3:S3) = C24.28D6φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.10(C2xC3:S3)288,776
C8.11(C2xC3:S3) = C24.40D6φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.11(C2xC3:S3)288,773
C8.12(C2xC3:S3) = C24.47D6φ: C2xC3:S3/C3:S3 → C2 ⊆ Aut C8144C8.12(C2xC3:S3)288,764
C8.13(C2xC3:S3) = C32:5D16φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8144C8.13(C2xC3:S3)288,274
C8.14(C2xC3:S3) = C6.D24φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8144C8.14(C2xC3:S3)288,275
C8.15(C2xC3:S3) = C32:5Q32φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8288C8.15(C2xC3:S3)288,276
C8.16(C2xC3:S3) = C24.78D6φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8144C8.16(C2xC3:S3)288,761
C8.17(C2xC3:S3) = C2xC32:5Q16φ: C2xC3:S3/C3xC6 → C2 ⊆ Aut C8288C8.17(C2xC3:S3)288,762
C8.18(C2xC3:S3) = C16xC3:S3central extension (φ=1)144C8.18(C2xC3:S3)288,272
C8.19(C2xC3:S3) = C48:S3central extension (φ=1)144C8.19(C2xC3:S3)288,273
C8.20(C2xC3:S3) = C2xC24.S3central extension (φ=1)288C8.20(C2xC3:S3)288,286
C8.21(C2xC3:S3) = C24.94D6central extension (φ=1)144C8.21(C2xC3:S3)288,287
C8.22(C2xC3:S3) = C24.95D6central extension (φ=1)144C8.22(C2xC3:S3)288,758

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