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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×D4

Direct product G=N×Q with N=C22 and Q=C2×D4
dρLabelID
D4×C2332D4xC2^364,261

Semidirect products G=N:Q with N=C22 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×D4) = C2×C4⋊D4φ: C2×D4/C2×C4 → C2 ⊆ Aut C2232C2^2:1(C2xD4)64,203
C22⋊2(C2×D4) = D42φ: C2×D4/D4 → C2 ⊆ Aut C2216C2^2:2(C2xD4)64,226
C22⋊3(C2×D4) = C2×C22≀C2φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2:3(C2xD4)64,202

Non-split extensions G=N.Q with N=C22 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×D4) = C22.26C24φ: C2×D4/C2×C4 → C2 ⊆ Aut C2232C2^2.1(C2xD4)64,213
C22.2(C2×D4) = C22.31C24φ: C2×D4/C2×C4 → C2 ⊆ Aut C2232C2^2.2(C2xD4)64,218
C22.3(C2×D4) = D4⋊5D4φ: C2×D4/D4 → C2 ⊆ Aut C2216C2^2.3(C2xD4)64,227
C22.4(C2×D4) = D4⋊6D4φ: C2×D4/D4 → C2 ⊆ Aut C2232C2^2.4(C2xD4)64,228
C22.5(C2×D4) = D4○D8φ: C2×D4/D4 → C2 ⊆ Aut C22164+C2^2.5(C2xD4)64,257
C22.6(C2×D4) = D4○SD16φ: C2×D4/D4 → C2 ⊆ Aut C22164C2^2.6(C2xD4)64,258
C22.7(C2×D4) = Q8○D8φ: C2×D4/D4 → C2 ⊆ Aut C22324-C2^2.7(C2xD4)64,259
C22.8(C2×D4) = C2×C23⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2.8(C2xD4)64,90
C22.9(C2×D4) = C23.C23φ: C2×D4/C23 → C2 ⊆ Aut C22164C2^2.9(C2xD4)64,91
C22.10(C2×D4) = C2×C4≀C2φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2.10(C2xD4)64,101
C22.11(C2×D4) = C42⋊C22φ: C2×D4/C23 → C2 ⊆ Aut C22164C2^2.11(C2xD4)64,102
C22.12(C2×D4) = D4⋊4D4φ: C2×D4/C23 → C2 ⊆ Aut C2284+C2^2.12(C2xD4)64,134
C22.13(C2×D4) = D4.8D4φ: C2×D4/C23 → C2 ⊆ Aut C22164C2^2.13(C2xD4)64,135
C22.14(C2×D4) = D4.9D4φ: C2×D4/C23 → C2 ⊆ Aut C22164C2^2.14(C2xD4)64,136
C22.15(C2×D4) = D4.10D4φ: C2×D4/C23 → C2 ⊆ Aut C22164-C2^2.15(C2xD4)64,137
C22.16(C2×D4) = C2≀C22φ: C2×D4/C23 → C2 ⊆ Aut C2284+C2^2.16(C2xD4)64,138
C22.17(C2×D4) = C23.7D4φ: C2×D4/C23 → C2 ⊆ Aut C22164C2^2.17(C2xD4)64,139
C22.18(C2×D4) = C2×C22.D4φ: C2×D4/C23 → C2 ⊆ Aut C2232C2^2.18(C2xD4)64,205
C22.19(C2×D4) = C22.19C24φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2.19(C2xD4)64,206
C22.20(C2×D4) = C23⋊3D4φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2.20(C2xD4)64,215
C22.21(C2×D4) = C22.29C24φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2.21(C2xD4)64,216
C22.22(C2×D4) = C23.38C23φ: C2×D4/C23 → C2 ⊆ Aut C2232C2^2.22(C2xD4)64,217
C22.23(C2×D4) = C2×C8⋊C22φ: C2×D4/C23 → C2 ⊆ Aut C2216C2^2.23(C2xD4)64,254
C22.24(C2×D4) = C2×C8.C22φ: C2×D4/C23 → C2 ⊆ Aut C2232C2^2.24(C2xD4)64,255
C22.25(C2×D4) = D8⋊C22φ: C2×D4/C23 → C2 ⊆ Aut C22164C2^2.25(C2xD4)64,256
C22.26(C2×D4) = C2×C2.C42central extension (φ=1)64C2^2.26(C2xD4)64,56
C22.27(C2×D4) = C4×C22⋊C4central extension (φ=1)32C2^2.27(C2xD4)64,58
C22.28(C2×D4) = C4×C4⋊C4central extension (φ=1)64C2^2.28(C2xD4)64,59
C22.29(C2×D4) = C24⋊3C4central extension (φ=1)16C2^2.29(C2xD4)64,60
C22.30(C2×D4) = C23.7Q8central extension (φ=1)32C2^2.30(C2xD4)64,61
C22.31(C2×D4) = C23.34D4central extension (φ=1)32C2^2.31(C2xD4)64,62
C22.32(C2×D4) = C42⋊8C4central extension (φ=1)64C2^2.32(C2xD4)64,63
C22.33(C2×D4) = C42⋊9C4central extension (φ=1)64C2^2.33(C2xD4)64,65
C22.34(C2×D4) = C23.8Q8central extension (φ=1)32C2^2.34(C2xD4)64,66
C22.35(C2×D4) = C23.23D4central extension (φ=1)32C2^2.35(C2xD4)64,67
C22.36(C2×D4) = C23.63C23central extension (φ=1)64C2^2.36(C2xD4)64,68
C22.37(C2×D4) = C24.C22central extension (φ=1)32C2^2.37(C2xD4)64,69
C22.38(C2×D4) = C23.65C23central extension (φ=1)64C2^2.38(C2xD4)64,70
C22.39(C2×D4) = C24.3C22central extension (φ=1)32C2^2.39(C2xD4)64,71
C22.40(C2×D4) = C23.67C23central extension (φ=1)64C2^2.40(C2xD4)64,72
C22.41(C2×D4) = C2×D4⋊C4central extension (φ=1)32C2^2.41(C2xD4)64,95
C22.42(C2×D4) = C2×Q8⋊C4central extension (φ=1)64C2^2.42(C2xD4)64,96
C22.43(C2×D4) = C23.24D4central extension (φ=1)32C2^2.43(C2xD4)64,97
C22.44(C2×D4) = C23.36D4central extension (φ=1)32C2^2.44(C2xD4)64,98
C22.45(C2×D4) = C23.37D4central extension (φ=1)16C2^2.45(C2xD4)64,99
C22.46(C2×D4) = C23.38D4central extension (φ=1)32C2^2.46(C2xD4)64,100
C22.47(C2×D4) = C2×C4.Q8central extension (φ=1)64C2^2.47(C2xD4)64,106
C22.48(C2×D4) = C2×C2.D8central extension (φ=1)64C2^2.48(C2xD4)64,107
C22.49(C2×D4) = C23.25D4central extension (φ=1)32C2^2.49(C2xD4)64,108
C22.50(C2×D4) = M4(2)⋊C4central extension (φ=1)32C2^2.50(C2xD4)64,109
C22.51(C2×D4) = C4×D8central extension (φ=1)32C2^2.51(C2xD4)64,118
C22.52(C2×D4) = C4×SD16central extension (φ=1)32C2^2.52(C2xD4)64,119
C22.53(C2×D4) = C4×Q16central extension (φ=1)64C2^2.53(C2xD4)64,120
C22.54(C2×D4) = SD16⋊C4central extension (φ=1)32C2^2.54(C2xD4)64,121
C22.55(C2×D4) = Q16⋊C4central extension (φ=1)64C2^2.55(C2xD4)64,122
C22.56(C2×D4) = D8⋊C4central extension (φ=1)32C2^2.56(C2xD4)64,123
C22.57(C2×D4) = C22×C22⋊C4central extension (φ=1)32C2^2.57(C2xD4)64,193
C22.58(C2×D4) = C22×C4⋊C4central extension (φ=1)64C2^2.58(C2xD4)64,194
C22.59(C2×D4) = C2×C4×D4central extension (φ=1)32C2^2.59(C2xD4)64,196
C22.60(C2×D4) = C2×C22⋊Q8central extension (φ=1)32C2^2.60(C2xD4)64,204
C22.61(C2×D4) = C2×C4.4D4central extension (φ=1)32C2^2.61(C2xD4)64,207
C22.62(C2×D4) = C2×C4⋊1D4central extension (φ=1)32C2^2.62(C2xD4)64,211
C22.63(C2×D4) = C2×C4⋊Q8central extension (φ=1)64C2^2.63(C2xD4)64,212
C22.64(C2×D4) = C22×D8central extension (φ=1)32C2^2.64(C2xD4)64,250
C22.65(C2×D4) = C22×SD16central extension (φ=1)32C2^2.65(C2xD4)64,251
C22.66(C2×D4) = C22×Q16central extension (φ=1)64C2^2.66(C2xD4)64,252
C22.67(C2×D4) = C2×C4○D8central extension (φ=1)32C2^2.67(C2xD4)64,253
C22.68(C2×D4) = C23⋊2D4central stem extension (φ=1)32C2^2.68(C2xD4)64,73
C22.69(C2×D4) = C23⋊Q8central stem extension (φ=1)32C2^2.69(C2xD4)64,74
C22.70(C2×D4) = C23.10D4central stem extension (φ=1)32C2^2.70(C2xD4)64,75
C22.71(C2×D4) = C23.78C23central stem extension (φ=1)64C2^2.71(C2xD4)64,76
C22.72(C2×D4) = C23.Q8central stem extension (φ=1)32C2^2.72(C2xD4)64,77
C22.73(C2×D4) = C23.11D4central stem extension (φ=1)32C2^2.73(C2xD4)64,78
C22.74(C2×D4) = C23.81C23central stem extension (φ=1)64C2^2.74(C2xD4)64,79
C22.75(C2×D4) = C23.4Q8central stem extension (φ=1)32C2^2.75(C2xD4)64,80
C22.76(C2×D4) = C23.83C23central stem extension (φ=1)64C2^2.76(C2xD4)64,81
C22.77(C2×D4) = C22⋊D8central stem extension (φ=1)16C2^2.77(C2xD4)64,128
C22.78(C2×D4) = Q8⋊D4central stem extension (φ=1)32C2^2.78(C2xD4)64,129
C22.79(C2×D4) = D4⋊D4central stem extension (φ=1)32C2^2.79(C2xD4)64,130
C22.80(C2×D4) = C22⋊SD16central stem extension (φ=1)16C2^2.80(C2xD4)64,131
C22.81(C2×D4) = C22⋊Q16central stem extension (φ=1)32C2^2.81(C2xD4)64,132
C22.82(C2×D4) = D4.7D4central stem extension (φ=1)32C2^2.82(C2xD4)64,133
C22.83(C2×D4) = C4⋊D8central stem extension (φ=1)32C2^2.83(C2xD4)64,140
C22.84(C2×D4) = C4⋊SD16central stem extension (φ=1)32C2^2.84(C2xD4)64,141
C22.85(C2×D4) = D4.D4central stem extension (φ=1)32C2^2.85(C2xD4)64,142
C22.86(C2×D4) = C4⋊2Q16central stem extension (φ=1)64C2^2.86(C2xD4)64,143
C22.87(C2×D4) = D4.2D4central stem extension (φ=1)32C2^2.87(C2xD4)64,144
C22.88(C2×D4) = Q8.D4central stem extension (φ=1)32C2^2.88(C2xD4)64,145
C22.89(C2×D4) = C8⋊8D4central stem extension (φ=1)32C2^2.89(C2xD4)64,146
C22.90(C2×D4) = C8⋊7D4central stem extension (φ=1)32C2^2.90(C2xD4)64,147
C22.91(C2×D4) = C8.18D4central stem extension (φ=1)32C2^2.91(C2xD4)64,148
C22.92(C2×D4) = C8⋊D4central stem extension (φ=1)32C2^2.92(C2xD4)64,149
C22.93(C2×D4) = C8⋊2D4central stem extension (φ=1)32C2^2.93(C2xD4)64,150
C22.94(C2×D4) = C8.D4central stem extension (φ=1)32C2^2.94(C2xD4)64,151
C22.95(C2×D4) = D4⋊Q8central stem extension (φ=1)32C2^2.95(C2xD4)64,155
C22.96(C2×D4) = Q8⋊Q8central stem extension (φ=1)64C2^2.96(C2xD4)64,156
C22.97(C2×D4) = D4⋊2Q8central stem extension (φ=1)32C2^2.97(C2xD4)64,157
C22.98(C2×D4) = C4.Q16central stem extension (φ=1)64C2^2.98(C2xD4)64,158
C22.99(C2×D4) = D4.Q8central stem extension (φ=1)32C2^2.99(C2xD4)64,159
C22.100(C2×D4) = Q8.Q8central stem extension (φ=1)64C2^2.100(C2xD4)64,160
C22.101(C2×D4) = C22.D8central stem extension (φ=1)32C2^2.101(C2xD4)64,161
C22.102(C2×D4) = C23.46D4central stem extension (φ=1)32C2^2.102(C2xD4)64,162
C22.103(C2×D4) = C23.19D4central stem extension (φ=1)32C2^2.103(C2xD4)64,163
C22.104(C2×D4) = C23.47D4central stem extension (φ=1)32C2^2.104(C2xD4)64,164
C22.105(C2×D4) = C23.48D4central stem extension (φ=1)32C2^2.105(C2xD4)64,165
C22.106(C2×D4) = C23.20D4central stem extension (φ=1)32C2^2.106(C2xD4)64,166
C22.107(C2×D4) = C4.4D8central stem extension (φ=1)32C2^2.107(C2xD4)64,167
C22.108(C2×D4) = C4.SD16central stem extension (φ=1)64C2^2.108(C2xD4)64,168
C22.109(C2×D4) = C42.78C22central stem extension (φ=1)32C2^2.109(C2xD4)64,169
C22.110(C2×D4) = C42.28C22central stem extension (φ=1)32C2^2.110(C2xD4)64,170
C22.111(C2×D4) = C42.29C22central stem extension (φ=1)32C2^2.111(C2xD4)64,171
C22.112(C2×D4) = C42.30C22central stem extension (φ=1)64C2^2.112(C2xD4)64,172
C22.113(C2×D4) = C8⋊5D4central stem extension (φ=1)32C2^2.113(C2xD4)64,173
C22.114(C2×D4) = C8⋊4D4central stem extension (φ=1)32C2^2.114(C2xD4)64,174
C22.115(C2×D4) = C4⋊Q16central stem extension (φ=1)64C2^2.115(C2xD4)64,175
C22.116(C2×D4) = C8.12D4central stem extension (φ=1)32C2^2.116(C2xD4)64,176
C22.117(C2×D4) = C8⋊3D4central stem extension (φ=1)32C2^2.117(C2xD4)64,177
C22.118(C2×D4) = C8.2D4central stem extension (φ=1)32C2^2.118(C2xD4)64,178
C22.119(C2×D4) = C8⋊3Q8central stem extension (φ=1)64C2^2.119(C2xD4)64,179
C22.120(C2×D4) = C8.5Q8central stem extension (φ=1)64C2^2.120(C2xD4)64,180
C22.121(C2×D4) = C8⋊2Q8central stem extension (φ=1)64C2^2.121(C2xD4)64,181
C22.122(C2×D4) = C8⋊Q8central stem extension (φ=1)64C2^2.122(C2xD4)64,182

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