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Extensions 1→N→G→Q→1 with N=C6 and Q=C4oD4

Direct product G=NxQ with N=C6 and Q=C4oD4
dρLabelID
C6xC4oD448C6xC4oD496,223

Semidirect products G=N:Q with N=C6 and Q=C4oD4
extensionφ:Q→Aut NdρLabelID
C6:1(C4oD4) = C2xC4oD12φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6:1(C4oD4)96,208
C6:2(C4oD4) = C2xD4:2S3φ: C4oD4/D4 → C2 ⊆ Aut C648C6:2(C4oD4)96,210
C6:3(C4oD4) = C2xQ8:3S3φ: C4oD4/Q8 → C2 ⊆ Aut C648C6:3(C4oD4)96,213

Non-split extensions G=N.Q with N=C6 and Q=C4oD4
extensionφ:Q→Aut NdρLabelID
C6.1(C4oD4) = C4xDic6φ: C4oD4/C2xC4 → C2 ⊆ Aut C696C6.1(C4oD4)96,75
C6.2(C4oD4) = C12.6Q8φ: C4oD4/C2xC4 → C2 ⊆ Aut C696C6.2(C4oD4)96,77
C6.3(C4oD4) = C42:2S3φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.3(C4oD4)96,79
C6.4(C4oD4) = C4xD12φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.4(C4oD4)96,80
C6.5(C4oD4) = C42:7S3φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.5(C4oD4)96,82
C6.6(C4oD4) = C42:3S3φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.6(C4oD4)96,83
C6.7(C4oD4) = C23.8D6φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.7(C4oD4)96,86
C6.8(C4oD4) = C23.9D6φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.8(C4oD4)96,90
C6.9(C4oD4) = Dic3:D4φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.9(C4oD4)96,91
C6.10(C4oD4) = C23.11D6φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.10(C4oD4)96,92
C6.11(C4oD4) = Dic3.Q8φ: C4oD4/C2xC4 → C2 ⊆ Aut C696C6.11(C4oD4)96,96
C6.12(C4oD4) = D6.D4φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.12(C4oD4)96,101
C6.13(C4oD4) = D6:Q8φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.13(C4oD4)96,103
C6.14(C4oD4) = C4:C4:S3φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.14(C4oD4)96,105
C6.15(C4oD4) = C12.48D4φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.15(C4oD4)96,131
C6.16(C4oD4) = C23.26D6φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.16(C4oD4)96,133
C6.17(C4oD4) = C4xC3:D4φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.17(C4oD4)96,135
C6.18(C4oD4) = C23.28D6φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.18(C4oD4)96,136
C6.19(C4oD4) = C12:7D4φ: C4oD4/C2xC4 → C2 ⊆ Aut C648C6.19(C4oD4)96,137
C6.20(C4oD4) = C23.16D6φ: C4oD4/D4 → C2 ⊆ Aut C648C6.20(C4oD4)96,84
C6.21(C4oD4) = Dic3.D4φ: C4oD4/D4 → C2 ⊆ Aut C648C6.21(C4oD4)96,85
C6.22(C4oD4) = Dic3:4D4φ: C4oD4/D4 → C2 ⊆ Aut C648C6.22(C4oD4)96,88
C6.23(C4oD4) = C23.21D6φ: C4oD4/D4 → C2 ⊆ Aut C648C6.23(C4oD4)96,93
C6.24(C4oD4) = Dic6:C4φ: C4oD4/D4 → C2 ⊆ Aut C696C6.24(C4oD4)96,94
C6.25(C4oD4) = C4.Dic6φ: C4oD4/D4 → C2 ⊆ Aut C696C6.25(C4oD4)96,97
C6.26(C4oD4) = C4:C4:7S3φ: C4oD4/D4 → C2 ⊆ Aut C648C6.26(C4oD4)96,99
C6.27(C4oD4) = C4.D12φ: C4oD4/D4 → C2 ⊆ Aut C648C6.27(C4oD4)96,104
C6.28(C4oD4) = D4xDic3φ: C4oD4/D4 → C2 ⊆ Aut C648C6.28(C4oD4)96,141
C6.29(C4oD4) = C23.23D6φ: C4oD4/D4 → C2 ⊆ Aut C648C6.29(C4oD4)96,142
C6.30(C4oD4) = C23.12D6φ: C4oD4/D4 → C2 ⊆ Aut C648C6.30(C4oD4)96,143
C6.31(C4oD4) = D6:3D4φ: C4oD4/D4 → C2 ⊆ Aut C648C6.31(C4oD4)96,145
C6.32(C4oD4) = C23.14D6φ: C4oD4/D4 → C2 ⊆ Aut C648C6.32(C4oD4)96,146
C6.33(C4oD4) = Dic3:5D4φ: C4oD4/Q8 → C2 ⊆ Aut C648C6.33(C4oD4)96,100
C6.34(C4oD4) = C12:D4φ: C4oD4/Q8 → C2 ⊆ Aut C648C6.34(C4oD4)96,102
C6.35(C4oD4) = Q8xDic3φ: C4oD4/Q8 → C2 ⊆ Aut C696C6.35(C4oD4)96,152
C6.36(C4oD4) = D6:3Q8φ: C4oD4/Q8 → C2 ⊆ Aut C648C6.36(C4oD4)96,153
C6.37(C4oD4) = C12.23D4φ: C4oD4/Q8 → C2 ⊆ Aut C648C6.37(C4oD4)96,154
C6.38(C4oD4) = C3xC42:C2central extension (φ=1)48C6.38(C4oD4)96,164
C6.39(C4oD4) = D4xC12central extension (φ=1)48C6.39(C4oD4)96,165
C6.40(C4oD4) = Q8xC12central extension (φ=1)96C6.40(C4oD4)96,166
C6.41(C4oD4) = C3xC4:D4central extension (φ=1)48C6.41(C4oD4)96,168
C6.42(C4oD4) = C3xC22:Q8central extension (φ=1)48C6.42(C4oD4)96,169
C6.43(C4oD4) = C3xC22.D4central extension (φ=1)48C6.43(C4oD4)96,170
C6.44(C4oD4) = C3xC4.4D4central extension (φ=1)48C6.44(C4oD4)96,171
C6.45(C4oD4) = C3xC42.C2central extension (φ=1)96C6.45(C4oD4)96,172
C6.46(C4oD4) = C3xC42:2C2central extension (φ=1)48C6.46(C4oD4)96,173

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