# Extensions 1→N→G→Q→1 with N=C6 and Q=C2×D4

Direct product G=N×Q with N=C6 and Q=C2×D4
dρLabelID
D4×C2×C648D4xC2xC696,221

Semidirect products G=N:Q with N=C6 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C61(C2×D4) = C22×D12φ: C2×D4/C2×C4C2 ⊆ Aut C648C6:1(C2xD4)96,207
C62(C2×D4) = C2×S3×D4φ: C2×D4/D4C2 ⊆ Aut C624C6:2(C2xD4)96,209
C63(C2×D4) = C22×C3⋊D4φ: C2×D4/C23C2 ⊆ Aut C648C6:3(C2xD4)96,219

Non-split extensions G=N.Q with N=C6 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×D4) = C122Q8φ: C2×D4/C2×C4C2 ⊆ Aut C696C6.1(C2xD4)96,76
C6.2(C2×D4) = C4×D12φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.2(C2xD4)96,80
C6.3(C2×D4) = C4⋊D12φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.3(C2xD4)96,81
C6.4(C2×D4) = C427S3φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.4(C2xD4)96,82
C6.5(C2×D4) = D6⋊D4φ: C2×D4/C2×C4C2 ⊆ Aut C624C6.5(C2xD4)96,89
C6.6(C2×D4) = C23.21D6φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.6(C2xD4)96,93
C6.7(C2×D4) = C12⋊D4φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.7(C2xD4)96,102
C6.8(C2×D4) = C4.D12φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.8(C2xD4)96,104
C6.9(C2×D4) = C2×C24⋊C2φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.9(C2xD4)96,109
C6.10(C2×D4) = C2×D24φ: C2×D4/C2×C4C2 ⊆ Aut C648C6.10(C2xD4)96,110
C6.11(C2×D4) = C4○D24φ: C2×D4/C2×C4C2 ⊆ Aut C6482C6.11(C2xD4)96,111
C6.12(C2×D4) = C2×Dic12φ: C2×D4/C2×C4C2 ⊆ Aut C696C6.12(C2xD4)96,112
C6.13(C2×D4) = C8⋊D6φ: C2×D4/C2×C4C2 ⊆ Aut C6244+C6.13(C2xD4)96,115
C6.14(C2×D4) = C8.D6φ: C2×D4/C2×C4C2 ⊆ Aut C6484-C6.14(C2xD4)96,116
C6.15(C2×D4) = C2×C4⋊Dic3φ: C2×D4/C2×C4C2 ⊆ Aut C696C6.15(C2xD4)96,132
C6.16(C2×D4) = Dic3.D4φ: C2×D4/D4C2 ⊆ Aut C648C6.16(C2xD4)96,85
C6.17(C2×D4) = S3×C22⋊C4φ: C2×D4/D4C2 ⊆ Aut C624C6.17(C2xD4)96,87
C6.18(C2×D4) = Dic34D4φ: C2×D4/D4C2 ⊆ Aut C648C6.18(C2xD4)96,88
C6.19(C2×D4) = C23.9D6φ: C2×D4/D4C2 ⊆ Aut C648C6.19(C2xD4)96,90
C6.20(C2×D4) = Dic3⋊D4φ: C2×D4/D4C2 ⊆ Aut C648C6.20(C2xD4)96,91
C6.21(C2×D4) = C23.11D6φ: C2×D4/D4C2 ⊆ Aut C648C6.21(C2xD4)96,92
C6.22(C2×D4) = C12⋊Q8φ: C2×D4/D4C2 ⊆ Aut C696C6.22(C2xD4)96,95
C6.23(C2×D4) = S3×C4⋊C4φ: C2×D4/D4C2 ⊆ Aut C648C6.23(C2xD4)96,98
C6.24(C2×D4) = Dic35D4φ: C2×D4/D4C2 ⊆ Aut C648C6.24(C2xD4)96,100
C6.25(C2×D4) = D6.D4φ: C2×D4/D4C2 ⊆ Aut C648C6.25(C2xD4)96,101
C6.26(C2×D4) = D6⋊Q8φ: C2×D4/D4C2 ⊆ Aut C648C6.26(C2xD4)96,103
C6.27(C2×D4) = S3×D8φ: C2×D4/D4C2 ⊆ Aut C6244+C6.27(C2xD4)96,117
C6.28(C2×D4) = D8⋊S3φ: C2×D4/D4C2 ⊆ Aut C6244C6.28(C2xD4)96,118
C6.29(C2×D4) = D83S3φ: C2×D4/D4C2 ⊆ Aut C6484-C6.29(C2xD4)96,119
C6.30(C2×D4) = S3×SD16φ: C2×D4/D4C2 ⊆ Aut C6244C6.30(C2xD4)96,120
C6.31(C2×D4) = Q83D6φ: C2×D4/D4C2 ⊆ Aut C6244+C6.31(C2xD4)96,121
C6.32(C2×D4) = D4.D6φ: C2×D4/D4C2 ⊆ Aut C6484-C6.32(C2xD4)96,122
C6.33(C2×D4) = Q8.7D6φ: C2×D4/D4C2 ⊆ Aut C6484C6.33(C2xD4)96,123
C6.34(C2×D4) = S3×Q16φ: C2×D4/D4C2 ⊆ Aut C6484-C6.34(C2xD4)96,124
C6.35(C2×D4) = Q16⋊S3φ: C2×D4/D4C2 ⊆ Aut C6484C6.35(C2xD4)96,125
C6.36(C2×D4) = D24⋊C2φ: C2×D4/D4C2 ⊆ Aut C6484+C6.36(C2xD4)96,126
C6.37(C2×D4) = D4×Dic3φ: C2×D4/D4C2 ⊆ Aut C648C6.37(C2xD4)96,141
C6.38(C2×D4) = C2×Dic3⋊C4φ: C2×D4/C23C2 ⊆ Aut C696C6.38(C2xD4)96,130
C6.39(C2×D4) = C12.48D4φ: C2×D4/C23C2 ⊆ Aut C648C6.39(C2xD4)96,131
C6.40(C2×D4) = C2×D6⋊C4φ: C2×D4/C23C2 ⊆ Aut C648C6.40(C2xD4)96,134
C6.41(C2×D4) = C4×C3⋊D4φ: C2×D4/C23C2 ⊆ Aut C648C6.41(C2xD4)96,135
C6.42(C2×D4) = C23.28D6φ: C2×D4/C23C2 ⊆ Aut C648C6.42(C2xD4)96,136
C6.43(C2×D4) = C127D4φ: C2×D4/C23C2 ⊆ Aut C648C6.43(C2xD4)96,137
C6.44(C2×D4) = C2×D4⋊S3φ: C2×D4/C23C2 ⊆ Aut C648C6.44(C2xD4)96,138
C6.45(C2×D4) = D126C22φ: C2×D4/C23C2 ⊆ Aut C6244C6.45(C2xD4)96,139
C6.46(C2×D4) = C2×D4.S3φ: C2×D4/C23C2 ⊆ Aut C648C6.46(C2xD4)96,140
C6.47(C2×D4) = C23.23D6φ: C2×D4/C23C2 ⊆ Aut C648C6.47(C2xD4)96,142
C6.48(C2×D4) = C23.12D6φ: C2×D4/C23C2 ⊆ Aut C648C6.48(C2xD4)96,143
C6.49(C2×D4) = C232D6φ: C2×D4/C23C2 ⊆ Aut C624C6.49(C2xD4)96,144
C6.50(C2×D4) = D63D4φ: C2×D4/C23C2 ⊆ Aut C648C6.50(C2xD4)96,145
C6.51(C2×D4) = C23.14D6φ: C2×D4/C23C2 ⊆ Aut C648C6.51(C2xD4)96,146
C6.52(C2×D4) = C123D4φ: C2×D4/C23C2 ⊆ Aut C648C6.52(C2xD4)96,147
C6.53(C2×D4) = C2×Q82S3φ: C2×D4/C23C2 ⊆ Aut C648C6.53(C2xD4)96,148
C6.54(C2×D4) = Q8.11D6φ: C2×D4/C23C2 ⊆ Aut C6484C6.54(C2xD4)96,149
C6.55(C2×D4) = C2×C3⋊Q16φ: C2×D4/C23C2 ⊆ Aut C696C6.55(C2xD4)96,150
C6.56(C2×D4) = Dic3⋊Q8φ: C2×D4/C23C2 ⊆ Aut C696C6.56(C2xD4)96,151
C6.57(C2×D4) = D63Q8φ: C2×D4/C23C2 ⊆ Aut C648C6.57(C2xD4)96,153
C6.58(C2×D4) = C12.23D4φ: C2×D4/C23C2 ⊆ Aut C648C6.58(C2xD4)96,154
C6.59(C2×D4) = D4⋊D6φ: C2×D4/C23C2 ⊆ Aut C6244+C6.59(C2xD4)96,156
C6.60(C2×D4) = Q8.13D6φ: C2×D4/C23C2 ⊆ Aut C6484C6.60(C2xD4)96,157
C6.61(C2×D4) = Q8.14D6φ: C2×D4/C23C2 ⊆ Aut C6484-C6.61(C2xD4)96,158
C6.62(C2×D4) = C2×C6.D4φ: C2×D4/C23C2 ⊆ Aut C648C6.62(C2xD4)96,159
C6.63(C2×D4) = C244S3φ: C2×D4/C23C2 ⊆ Aut C624C6.63(C2xD4)96,160
C6.64(C2×D4) = C6×C22⋊C4central extension (φ=1)48C6.64(C2xD4)96,162
C6.65(C2×D4) = C6×C4⋊C4central extension (φ=1)96C6.65(C2xD4)96,163
C6.66(C2×D4) = D4×C12central extension (φ=1)48C6.66(C2xD4)96,165
C6.67(C2×D4) = C3×C22≀C2central extension (φ=1)24C6.67(C2xD4)96,167
C6.68(C2×D4) = C3×C4⋊D4central extension (φ=1)48C6.68(C2xD4)96,168
C6.69(C2×D4) = C3×C22⋊Q8central extension (φ=1)48C6.69(C2xD4)96,169
C6.70(C2×D4) = C3×C22.D4central extension (φ=1)48C6.70(C2xD4)96,170
C6.71(C2×D4) = C3×C4.4D4central extension (φ=1)48C6.71(C2xD4)96,171
C6.72(C2×D4) = C3×C41D4central extension (φ=1)48C6.72(C2xD4)96,174
C6.73(C2×D4) = C3×C4⋊Q8central extension (φ=1)96C6.73(C2xD4)96,175
C6.74(C2×D4) = C6×D8central extension (φ=1)48C6.74(C2xD4)96,179
C6.75(C2×D4) = C6×SD16central extension (φ=1)48C6.75(C2xD4)96,180
C6.76(C2×D4) = C6×Q16central extension (φ=1)96C6.76(C2xD4)96,181
C6.77(C2×D4) = C3×C4○D8central extension (φ=1)482C6.77(C2xD4)96,182
C6.78(C2×D4) = C3×C8⋊C22central extension (φ=1)244C6.78(C2xD4)96,183
C6.79(C2×D4) = C3×C8.C22central extension (φ=1)484C6.79(C2xD4)96,184

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