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Extensions 1→N→G→Q→1 with N=C6 and Q=C2xQ8

Direct product G=NxQ with N=C6 and Q=C2xQ8
dρLabelID
Q8xC2xC696Q8xC2xC696,222

Semidirect products G=N:Q with N=C6 and Q=C2xQ8
extensionφ:Q→Aut NdρLabelID
C6:1(C2xQ8) = C22xDic6φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6:1(C2xQ8)96,205
C6:2(C2xQ8) = C2xS3xQ8φ: C2xQ8/Q8 → C2 ⊆ Aut C648C6:2(C2xQ8)96,212

Non-split extensions G=N.Q with N=C6 and Q=C2xQ8
extensionφ:Q→Aut NdρLabelID
C6.1(C2xQ8) = C4xDic6φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.1(C2xQ8)96,75
C6.2(C2xQ8) = C12:2Q8φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.2(C2xQ8)96,76
C6.3(C2xQ8) = C12.6Q8φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.3(C2xQ8)96,77
C6.4(C2xQ8) = Dic3.D4φ: C2xQ8/C2xC4 → C2 ⊆ Aut C648C6.4(C2xQ8)96,85
C6.5(C2xQ8) = C12:Q8φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.5(C2xQ8)96,95
C6.6(C2xQ8) = C4.Dic6φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.6(C2xQ8)96,97
C6.7(C2xQ8) = C2xDic3:C4φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.7(C2xQ8)96,130
C6.8(C2xQ8) = C12.48D4φ: C2xQ8/C2xC4 → C2 ⊆ Aut C648C6.8(C2xQ8)96,131
C6.9(C2xQ8) = C2xC4:Dic3φ: C2xQ8/C2xC4 → C2 ⊆ Aut C696C6.9(C2xQ8)96,132
C6.10(C2xQ8) = Dic6:C4φ: C2xQ8/Q8 → C2 ⊆ Aut C696C6.10(C2xQ8)96,94
C6.11(C2xQ8) = Dic3.Q8φ: C2xQ8/Q8 → C2 ⊆ Aut C696C6.11(C2xQ8)96,96
C6.12(C2xQ8) = S3xC4:C4φ: C2xQ8/Q8 → C2 ⊆ Aut C648C6.12(C2xQ8)96,98
C6.13(C2xQ8) = D6:Q8φ: C2xQ8/Q8 → C2 ⊆ Aut C648C6.13(C2xQ8)96,103
C6.14(C2xQ8) = C4.D12φ: C2xQ8/Q8 → C2 ⊆ Aut C648C6.14(C2xQ8)96,104
C6.15(C2xQ8) = Dic3:Q8φ: C2xQ8/Q8 → C2 ⊆ Aut C696C6.15(C2xQ8)96,151
C6.16(C2xQ8) = Q8xDic3φ: C2xQ8/Q8 → C2 ⊆ Aut C696C6.16(C2xQ8)96,152
C6.17(C2xQ8) = D6:3Q8φ: C2xQ8/Q8 → C2 ⊆ Aut C648C6.17(C2xQ8)96,153
C6.18(C2xQ8) = C6xC4:C4central extension (φ=1)96C6.18(C2xQ8)96,163
C6.19(C2xQ8) = Q8xC12central extension (φ=1)96C6.19(C2xQ8)96,166
C6.20(C2xQ8) = C3xC22:Q8central extension (φ=1)48C6.20(C2xQ8)96,169
C6.21(C2xQ8) = C3xC42.C2central extension (φ=1)96C6.21(C2xQ8)96,172
C6.22(C2xQ8) = C3xC4:Q8central extension (φ=1)96C6.22(C2xQ8)96,175

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