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Extensions 1→N→G→Q→1 with N=C6 and Q=Q8:2S3

Direct product G=NxQ with N=C6 and Q=Q8:2S3
dρLabelID
C6xQ8:2S396C6xQ8:2S3288,712

Semidirect products G=N:Q with N=C6 and Q=Q8:2S3
extensionφ:Q→Aut NdρLabelID
C6:1(Q8:2S3) = C2xC32:5SD16φ: Q8:2S3/C3:C8 → C2 ⊆ Aut C648C6:1(Q8:2S3)288,480
C6:2(Q8:2S3) = C2xDic6:S3φ: Q8:2S3/D12 → C2 ⊆ Aut C696C6:2(Q8:2S3)288,474
C6:3(Q8:2S3) = C2xC32:11SD16φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6144C6:3(Q8:2S3)288,798

Non-split extensions G=N.Q with N=C6 and Q=Q8:2S3
extensionφ:Q→Aut NdρLabelID
C6.1(Q8:2S3) = C6.17D24φ: Q8:2S3/C3:C8 → C2 ⊆ Aut C648C6.1(Q8:2S3)288,212
C6.2(Q8:2S3) = C6.Dic12φ: Q8:2S3/C3:C8 → C2 ⊆ Aut C696C6.2(Q8:2S3)288,214
C6.3(Q8:2S3) = C12.Dic6φ: Q8:2S3/C3:C8 → C2 ⊆ Aut C696C6.3(Q8:2S3)288,221
C6.4(Q8:2S3) = D12:3Dic3φ: Q8:2S3/D12 → C2 ⊆ Aut C696C6.4(Q8:2S3)288,210
C6.5(Q8:2S3) = Dic6:Dic3φ: Q8:2S3/D12 → C2 ⊆ Aut C696C6.5(Q8:2S3)288,213
C6.6(Q8:2S3) = C12.6Dic6φ: Q8:2S3/D12 → C2 ⊆ Aut C696C6.6(Q8:2S3)288,222
C6.7(Q8:2S3) = C4.Dic18φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6288C6.7(Q8:2S3)288,15
C6.8(Q8:2S3) = C18.D8φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6144C6.8(Q8:2S3)288,17
C6.9(Q8:2S3) = Q8:2Dic9φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6288C6.9(Q8:2S3)288,43
C6.10(Q8:2S3) = C2xQ8:2D9φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6144C6.10(Q8:2S3)288,152
C6.11(Q8:2S3) = C12.10Dic6φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6288C6.11(Q8:2S3)288,283
C6.12(Q8:2S3) = C62.113D4φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6144C6.12(Q8:2S3)288,284
C6.13(Q8:2S3) = C62.117D4φ: Q8:2S3/C3xQ8 → C2 ⊆ Aut C6288C6.13(Q8:2S3)288,310
C6.14(Q8:2S3) = C3xC12.Q8central extension (φ=1)96C6.14(Q8:2S3)288,242
C6.15(Q8:2S3) = C3xC6.D8central extension (φ=1)96C6.15(Q8:2S3)288,243
C6.16(Q8:2S3) = C3xQ8:2Dic3central extension (φ=1)96C6.16(Q8:2S3)288,269

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