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

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

Semidirect products G=N:Q with N=C2×C26 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C26)⋊1D4 = C22⋊D52φ: D4/C2 → C22 ⊆ Aut C2×C26104(C2xC26):1D4416,103
(C2×C26)⋊2D4 = C23⋊D26φ: D4/C2 → C22 ⊆ Aut C2×C26104(C2xC26):2D4416,158
(C2×C26)⋊3D4 = Dic13⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C26208(C2xC26):3D4416,160
(C2×C26)⋊4D4 = C13×C4⋊D4φ: D4/C4 → C2 ⊆ Aut C2×C26208(C2xC26):4D4416,182
(C2×C26)⋊5D4 = C52⋊7D4φ: D4/C4 → C2 ⊆ Aut C2×C26208(C2xC26):5D4416,151
(C2×C26)⋊6D4 = C22×D52φ: D4/C4 → C2 ⊆ Aut C2×C26208(C2xC26):6D4416,214
(C2×C26)⋊7D4 = C13×C22≀C2φ: D4/C22 → C2 ⊆ Aut C2×C26104(C2xC26):7D4416,181
(C2×C26)⋊8D4 = C24⋊D13φ: D4/C22 → C2 ⊆ Aut C2×C26104(C2xC26):8D4416,174
(C2×C26)⋊9D4 = C22×C13⋊D4φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26):9D4416,226

Non-split extensions G=N.Q with N=C2×C26 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C26).1D4 = D52⋊7C4φ: D4/C2 → C22 ⊆ Aut C2×C261044(C2xC26).1D4416,32
(C2×C26).2D4 = C23⋊Dic13φ: D4/C2 → C22 ⊆ Aut C2×C261044(C2xC26).2D4416,41
(C2×C26).3D4 = C52.56D4φ: D4/C2 → C22 ⊆ Aut C2×C261044(C2xC26).3D4416,44
(C2×C26).4D4 = C22.D52φ: D4/C2 → C22 ⊆ Aut C2×C26208(C2xC26).4D4416,107
(C2×C26).5D4 = C8⋊D26φ: D4/C2 → C22 ⊆ Aut C2×C261044+(C2xC26).5D4416,129
(C2×C26).6D4 = C8.D26φ: D4/C2 → C22 ⊆ Aut C2×C262084-(C2xC26).6D4416,130
(C2×C26).7D4 = C23.18D26φ: D4/C2 → C22 ⊆ Aut C2×C26208(C2xC26).7D4416,156
(C2×C26).8D4 = D4⋊D26φ: D4/C2 → C22 ⊆ Aut C2×C261044+(C2xC26).8D4416,170
(C2×C26).9D4 = C52.C23φ: D4/C2 → C22 ⊆ Aut C2×C262084(C2xC26).9D4416,171
(C2×C26).10D4 = D4.9D26φ: D4/C2 → C22 ⊆ Aut C2×C262084-(C2xC26).10D4416,172
(C2×C26).11D4 = C13×C4○D8φ: D4/C4 → C2 ⊆ Aut C2×C262082(C2xC26).11D4416,196
(C2×C26).12D4 = C52.44D4φ: D4/C4 → C2 ⊆ Aut C2×C26416(C2xC26).12D4416,23
(C2×C26).13D4 = C104⋊6C4φ: D4/C4 → C2 ⊆ Aut C2×C26416(C2xC26).13D4416,24
(C2×C26).14D4 = C104⋊5C4φ: D4/C4 → C2 ⊆ Aut C2×C26416(C2xC26).14D4416,25
(C2×C26).15D4 = D52⋊5C4φ: D4/C4 → C2 ⊆ Aut C2×C26208(C2xC26).15D4416,28
(C2×C26).16D4 = C2×C104⋊C2φ: D4/C4 → C2 ⊆ Aut C2×C26208(C2xC26).16D4416,123
(C2×C26).17D4 = C2×D104φ: D4/C4 → C2 ⊆ Aut C2×C26208(C2xC26).17D4416,124
(C2×C26).18D4 = D104⋊7C2φ: D4/C4 → C2 ⊆ Aut C2×C262082(C2xC26).18D4416,125
(C2×C26).19D4 = C2×Dic52φ: D4/C4 → C2 ⊆ Aut C2×C26416(C2xC26).19D4416,126
(C2×C26).20D4 = C2×C52⋊3C4φ: D4/C4 → C2 ⊆ Aut C2×C26416(C2xC26).20D4416,146
(C2×C26).21D4 = C13×C23⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C261044(C2xC26).21D4416,49
(C2×C26).22D4 = C13×C4≀C2φ: D4/C22 → C2 ⊆ Aut C2×C261042(C2xC26).22D4416,54
(C2×C26).23D4 = C13×C22.D4φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).23D4416,184
(C2×C26).24D4 = C13×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C2×C261044(C2xC26).24D4416,197
(C2×C26).25D4 = C13×C8.C22φ: D4/C22 → C2 ⊆ Aut C2×C262084(C2xC26).25D4416,198
(C2×C26).26D4 = D52⋊4C4φ: D4/C22 → C2 ⊆ Aut C2×C261042(C2xC26).26D4416,12
(C2×C26).27D4 = C22.2D52φ: D4/C22 → C2 ⊆ Aut C2×C261044(C2xC26).27D4416,13
(C2×C26).28D4 = C26.D8φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).28D4416,14
(C2×C26).29D4 = C52.Q8φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).29D4416,15
(C2×C26).30D4 = D52⋊6C4φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).30D4416,16
(C2×C26).31D4 = C26.Q16φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).31D4416,17
(C2×C26).32D4 = C26.10C42φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).32D4416,38
(C2×C26).33D4 = D4⋊Dic13φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).33D4416,39
(C2×C26).34D4 = Q8⋊Dic13φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).34D4416,42
(C2×C26).35D4 = C2×C26.D4φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).35D4416,144
(C2×C26).36D4 = C2×D26⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).36D4416,148
(C2×C26).37D4 = C23.23D26φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).37D4416,150
(C2×C26).38D4 = C2×D4⋊D13φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).38D4416,152
(C2×C26).39D4 = D52⋊6C22φ: D4/C22 → C2 ⊆ Aut C2×C261044(C2xC26).39D4416,153
(C2×C26).40D4 = C2×D4.D13φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).40D4416,154
(C2×C26).41D4 = C2×Q8⋊D13φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).41D4416,162
(C2×C26).42D4 = Q8.D26φ: D4/C22 → C2 ⊆ Aut C2×C262084(C2xC26).42D4416,163
(C2×C26).43D4 = C2×C13⋊Q16φ: D4/C22 → C2 ⊆ Aut C2×C26416(C2xC26).43D4416,164
(C2×C26).44D4 = C2×C23.D13φ: D4/C22 → C2 ⊆ Aut C2×C26208(C2xC26).44D4416,173
(C2×C26).45D4 = C13×C2.C42central extension (φ=1)416(C2xC26).45D4416,45
(C2×C26).46D4 = C13×D4⋊C4central extension (φ=1)208(C2xC26).46D4416,52
(C2×C26).47D4 = C13×Q8⋊C4central extension (φ=1)416(C2xC26).47D4416,53
(C2×C26).48D4 = C13×C4.Q8central extension (φ=1)416(C2xC26).48D4416,56
(C2×C26).49D4 = C13×C2.D8central extension (φ=1)416(C2xC26).49D4416,57
(C2×C26).50D4 = C22⋊C4×C26central extension (φ=1)208(C2xC26).50D4416,176
(C2×C26).51D4 = C4⋊C4×C26central extension (φ=1)416(C2xC26).51D4416,177
(C2×C26).52D4 = D8×C26central extension (φ=1)208(C2xC26).52D4416,193
(C2×C26).53D4 = SD16×C26central extension (φ=1)208(C2xC26).53D4416,194
(C2×C26).54D4 = Q16×C26central extension (φ=1)416(C2xC26).54D4416,195

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