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Extensions 1→N→G→Q→1 with N=C26 and Q=C2×D4

Direct product G=N×Q with N=C26 and Q=C2×D4
dρLabelID
D4×C2×C26208D4xC2xC26416,228

Semidirect products G=N:Q with N=C26 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C26⋊1(C2×D4) = C22×D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26:1(C2xD4)416,214
C26⋊2(C2×D4) = C2×D4×D13φ: C2×D4/D4 → C2 ⊆ Aut C26104C26:2(C2xD4)416,216
C26⋊3(C2×D4) = C22×C13⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26:3(C2xD4)416,226

Non-split extensions G=N.Q with N=C26 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C26.1(C2×D4) = C52⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C26416C26.1(C2xD4)416,90
C26.2(C2×D4) = C4×D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.2(C2xD4)416,94
C26.3(C2×D4) = C4⋊D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.3(C2xD4)416,95
C26.4(C2×D4) = C4.D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.4(C2xD4)416,96
C26.5(C2×D4) = C22⋊D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26104C26.5(C2xD4)416,103
C26.6(C2×D4) = C22.D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.6(C2xD4)416,107
C26.7(C2×D4) = C4⋊2D52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.7(C2xD4)416,116
C26.8(C2×D4) = D26⋊2Q8φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.8(C2xD4)416,118
C26.9(C2×D4) = C2×C104⋊C2φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.9(C2xD4)416,123
C26.10(C2×D4) = C2×D104φ: C2×D4/C2×C4 → C2 ⊆ Aut C26208C26.10(C2xD4)416,124
C26.11(C2×D4) = D104⋊7C2φ: C2×D4/C2×C4 → C2 ⊆ Aut C262082C26.11(C2xD4)416,125
C26.12(C2×D4) = C2×Dic52φ: C2×D4/C2×C4 → C2 ⊆ Aut C26416C26.12(C2xD4)416,126
C26.13(C2×D4) = C8⋊D26φ: C2×D4/C2×C4 → C2 ⊆ Aut C261044+C26.13(C2xD4)416,129
C26.14(C2×D4) = C8.D26φ: C2×D4/C2×C4 → C2 ⊆ Aut C262084-C26.14(C2xD4)416,130
C26.15(C2×D4) = C2×C52⋊3C4φ: C2×D4/C2×C4 → C2 ⊆ Aut C26416C26.15(C2xD4)416,146
C26.16(C2×D4) = C22⋊Dic26φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.16(C2xD4)416,99
C26.17(C2×D4) = C22⋊C4×D13φ: C2×D4/D4 → C2 ⊆ Aut C26104C26.17(C2xD4)416,101
C26.18(C2×D4) = Dic13⋊4D4φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.18(C2xD4)416,102
C26.19(C2×D4) = D26.12D4φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.19(C2xD4)416,104
C26.20(C2×D4) = D26⋊D4φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.20(C2xD4)416,105
C26.21(C2×D4) = C23.6D26φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.21(C2xD4)416,106
C26.22(C2×D4) = C52⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C26416C26.22(C2xD4)416,109
C26.23(C2×D4) = C4⋊C4×D13φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.23(C2xD4)416,112
C26.24(C2×D4) = D52⋊8C4φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.24(C2xD4)416,114
C26.25(C2×D4) = D26.13D4φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.25(C2xD4)416,115
C26.26(C2×D4) = D26⋊Q8φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.26(C2xD4)416,117
C26.27(C2×D4) = D8×D13φ: C2×D4/D4 → C2 ⊆ Aut C261044+C26.27(C2xD4)416,131
C26.28(C2×D4) = D8⋊D13φ: C2×D4/D4 → C2 ⊆ Aut C261044C26.28(C2xD4)416,132
C26.29(C2×D4) = D8⋊3D13φ: C2×D4/D4 → C2 ⊆ Aut C262084-C26.29(C2xD4)416,133
C26.30(C2×D4) = SD16×D13φ: C2×D4/D4 → C2 ⊆ Aut C261044C26.30(C2xD4)416,134
C26.31(C2×D4) = Q8⋊D26φ: C2×D4/D4 → C2 ⊆ Aut C261044+C26.31(C2xD4)416,135
C26.32(C2×D4) = D4.D26φ: C2×D4/D4 → C2 ⊆ Aut C262084-C26.32(C2xD4)416,136
C26.33(C2×D4) = D26.6D4φ: C2×D4/D4 → C2 ⊆ Aut C262084C26.33(C2xD4)416,137
C26.34(C2×D4) = Q16×D13φ: C2×D4/D4 → C2 ⊆ Aut C262084-C26.34(C2xD4)416,138
C26.35(C2×D4) = Q16⋊D13φ: C2×D4/D4 → C2 ⊆ Aut C262084C26.35(C2xD4)416,139
C26.36(C2×D4) = D104⋊C2φ: C2×D4/D4 → C2 ⊆ Aut C262084+C26.36(C2xD4)416,140
C26.37(C2×D4) = D4×Dic13φ: C2×D4/D4 → C2 ⊆ Aut C26208C26.37(C2xD4)416,155
C26.38(C2×D4) = C2×C26.D4φ: C2×D4/C23 → C2 ⊆ Aut C26416C26.38(C2xD4)416,144
C26.39(C2×D4) = C52.48D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.39(C2xD4)416,145
C26.40(C2×D4) = C2×D26⋊C4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.40(C2xD4)416,148
C26.41(C2×D4) = C4×C13⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.41(C2xD4)416,149
C26.42(C2×D4) = C23.23D26φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.42(C2xD4)416,150
C26.43(C2×D4) = C52⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.43(C2xD4)416,151
C26.44(C2×D4) = C2×D4⋊D13φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.44(C2xD4)416,152
C26.45(C2×D4) = D52⋊6C22φ: C2×D4/C23 → C2 ⊆ Aut C261044C26.45(C2xD4)416,153
C26.46(C2×D4) = C2×D4.D13φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.46(C2xD4)416,154
C26.47(C2×D4) = C23.18D26φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.47(C2xD4)416,156
C26.48(C2×D4) = C52.17D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.48(C2xD4)416,157
C26.49(C2×D4) = C23⋊D26φ: C2×D4/C23 → C2 ⊆ Aut C26104C26.49(C2xD4)416,158
C26.50(C2×D4) = C52⋊2D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.50(C2xD4)416,159
C26.51(C2×D4) = Dic13⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.51(C2xD4)416,160
C26.52(C2×D4) = C52⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.52(C2xD4)416,161
C26.53(C2×D4) = C2×Q8⋊D13φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.53(C2xD4)416,162
C26.54(C2×D4) = Q8.D26φ: C2×D4/C23 → C2 ⊆ Aut C262084C26.54(C2xD4)416,163
C26.55(C2×D4) = C2×C13⋊Q16φ: C2×D4/C23 → C2 ⊆ Aut C26416C26.55(C2xD4)416,164
C26.56(C2×D4) = Dic13⋊Q8φ: C2×D4/C23 → C2 ⊆ Aut C26416C26.56(C2xD4)416,165
C26.57(C2×D4) = D26⋊3Q8φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.57(C2xD4)416,167
C26.58(C2×D4) = C52.23D4φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.58(C2xD4)416,168
C26.59(C2×D4) = D4⋊D26φ: C2×D4/C23 → C2 ⊆ Aut C261044+C26.59(C2xD4)416,170
C26.60(C2×D4) = C52.C23φ: C2×D4/C23 → C2 ⊆ Aut C262084C26.60(C2xD4)416,171
C26.61(C2×D4) = D4.9D26φ: C2×D4/C23 → C2 ⊆ Aut C262084-C26.61(C2xD4)416,172
C26.62(C2×D4) = C2×C23.D13φ: C2×D4/C23 → C2 ⊆ Aut C26208C26.62(C2xD4)416,173
C26.63(C2×D4) = C24⋊D13φ: C2×D4/C23 → C2 ⊆ Aut C26104C26.63(C2xD4)416,174
C26.64(C2×D4) = C22⋊C4×C26central extension (φ=1)208C26.64(C2xD4)416,176
C26.65(C2×D4) = C4⋊C4×C26central extension (φ=1)416C26.65(C2xD4)416,177
C26.66(C2×D4) = D4×C52central extension (φ=1)208C26.66(C2xD4)416,179
C26.67(C2×D4) = C13×C22≀C2central extension (φ=1)104C26.67(C2xD4)416,181
C26.68(C2×D4) = C13×C4⋊D4central extension (φ=1)208C26.68(C2xD4)416,182
C26.69(C2×D4) = C13×C22⋊Q8central extension (φ=1)208C26.69(C2xD4)416,183
C26.70(C2×D4) = C13×C22.D4central extension (φ=1)208C26.70(C2xD4)416,184
C26.71(C2×D4) = C13×C4.4D4central extension (φ=1)208C26.71(C2xD4)416,185
C26.72(C2×D4) = C13×C4⋊1D4central extension (φ=1)208C26.72(C2xD4)416,188
C26.73(C2×D4) = C13×C4⋊Q8central extension (φ=1)416C26.73(C2xD4)416,189
C26.74(C2×D4) = D8×C26central extension (φ=1)208C26.74(C2xD4)416,193
C26.75(C2×D4) = SD16×C26central extension (φ=1)208C26.75(C2xD4)416,194
C26.76(C2×D4) = Q16×C26central extension (φ=1)416C26.76(C2xD4)416,195
C26.77(C2×D4) = C13×C4○D8central extension (φ=1)2082C26.77(C2xD4)416,196
C26.78(C2×D4) = C13×C8⋊C22central extension (φ=1)1044C26.78(C2xD4)416,197
C26.79(C2×D4) = C13×C8.C22central extension (φ=1)2084C26.79(C2xD4)416,198

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