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Extensions 1→N→G→Q→1 with N=C6 and Q=C2xC3:C8

Direct product G=NxQ with N=C6 and Q=C2xC3:C8
dρLabelID
C2xC6xC3:C896C2xC6xC3:C8288,691

Semidirect products G=N:Q with N=C6 and Q=C2xC3:C8
extensionφ:Q→Aut NdρLabelID
C6:1(C2xC3:C8) = C2xS3xC3:C8φ: C2xC3:C8/C3:C8 → C2 ⊆ Aut C696C6:1(C2xC3:C8)288,460
C6:2(C2xC3:C8) = C22xC32:4C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6:2(C2xC3:C8)288,777

Non-split extensions G=N.Q with N=C6 and Q=C2xC3:C8
extensionφ:Q→Aut NdρLabelID
C6.1(C2xC3:C8) = S3xC3:C16φ: C2xC3:C8/C3:C8 → C2 ⊆ Aut C6964C6.1(C2xC3:C8)288,189
C6.2(C2xC3:C8) = C24.61D6φ: C2xC3:C8/C3:C8 → C2 ⊆ Aut C6964C6.2(C2xC3:C8)288,191
C6.3(C2xC3:C8) = Dic3xC3:C8φ: C2xC3:C8/C3:C8 → C2 ⊆ Aut C696C6.3(C2xC3:C8)288,200
C6.4(C2xC3:C8) = C12.77D12φ: C2xC3:C8/C3:C8 → C2 ⊆ Aut C696C6.4(C2xC3:C8)288,204
C6.5(C2xC3:C8) = C12.81D12φ: C2xC3:C8/C3:C8 → C2 ⊆ Aut C696C6.5(C2xC3:C8)288,219
C6.6(C2xC3:C8) = C4xC9:C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.6(C2xC3:C8)288,9
C6.7(C2xC3:C8) = C36:C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.7(C2xC3:C8)288,11
C6.8(C2xC3:C8) = C2xC9:C16φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.8(C2xC3:C8)288,18
C6.9(C2xC3:C8) = C36.C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C61442C6.9(C2xC3:C8)288,19
C6.10(C2xC3:C8) = C36.55D4φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6144C6.10(C2xC3:C8)288,37
C6.11(C2xC3:C8) = C22xC9:C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.11(C2xC3:C8)288,130
C6.12(C2xC3:C8) = C4xC32:4C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.12(C2xC3:C8)288,277
C6.13(C2xC3:C8) = C12.57D12φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.13(C2xC3:C8)288,279
C6.14(C2xC3:C8) = C2xC24.S3φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6288C6.14(C2xC3:C8)288,286
C6.15(C2xC3:C8) = C24.94D6φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6144C6.15(C2xC3:C8)288,287
C6.16(C2xC3:C8) = C62:7C8φ: C2xC3:C8/C2xC12 → C2 ⊆ Aut C6144C6.16(C2xC3:C8)288,305
C6.17(C2xC3:C8) = C12xC3:C8central extension (φ=1)96C6.17(C2xC3:C8)288,236
C6.18(C2xC3:C8) = C3xC12:C8central extension (φ=1)96C6.18(C2xC3:C8)288,238
C6.19(C2xC3:C8) = C6xC3:C16central extension (φ=1)96C6.19(C2xC3:C8)288,245
C6.20(C2xC3:C8) = C3xC12.C8central extension (φ=1)482C6.20(C2xC3:C8)288,246
C6.21(C2xC3:C8) = C3xC12.55D4central extension (φ=1)48C6.21(C2xC3:C8)288,264

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