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

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

Semidirect products G=N:Q with N=D4×C26 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C26)⋊1C2 = C2×D4⋊D13φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):1C2416,152
(D4×C26)⋊2C2 = D526C22φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26):2C2416,153
(D4×C26)⋊3C2 = C522D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):3C2416,159
(D4×C26)⋊4C2 = C52⋊D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):4C2416,161
(D4×C26)⋊5C2 = C2×D4×D13φ: C2/C1C2 ⊆ Out D4×C26104(D4xC26):5C2416,216
(D4×C26)⋊6C2 = C2×D42D13φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):6C2416,217
(D4×C26)⋊7C2 = D46D26φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26):7C2416,218
(D4×C26)⋊8C2 = C23⋊D26φ: C2/C1C2 ⊆ Out D4×C26104(D4xC26):8C2416,158
(D4×C26)⋊9C2 = Dic13⋊D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):9C2416,160
(D4×C26)⋊10C2 = C13×C22≀C2φ: C2/C1C2 ⊆ Out D4×C26104(D4xC26):10C2416,181
(D4×C26)⋊11C2 = C13×C4⋊D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):11C2416,182
(D4×C26)⋊12C2 = C13×C41D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):12C2416,188
(D4×C26)⋊13C2 = D8×C26φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26):13C2416,193
(D4×C26)⋊14C2 = C13×C8⋊C22φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26):14C2416,197
(D4×C26)⋊15C2 = C13×2+ 1+4φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26):15C2416,231
(D4×C26)⋊16C2 = C4○D4×C26φ: trivial image208(D4xC26):16C2416,230

Non-split extensions G=N.Q with N=D4×C26 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C26).1C2 = D4⋊Dic13φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).1C2416,39
(D4×C26).2C2 = C52.D4φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26).2C2416,40
(D4×C26).3C2 = C2×D4.D13φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).3C2416,154
(D4×C26).4C2 = D4×Dic13φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).4C2416,155
(D4×C26).5C2 = C52.17D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).5C2416,157
(D4×C26).6C2 = C23⋊Dic13φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26).6C2416,41
(D4×C26).7C2 = C13×C23⋊C4φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26).7C2416,49
(D4×C26).8C2 = C13×C4.D4φ: C2/C1C2 ⊆ Out D4×C261044(D4xC26).8C2416,50
(D4×C26).9C2 = C13×D4⋊C4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).9C2416,52
(D4×C26).10C2 = C23.18D26φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).10C2416,156
(D4×C26).11C2 = C13×C22.D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).11C2416,184
(D4×C26).12C2 = C13×C4.4D4φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).12C2416,185
(D4×C26).13C2 = SD16×C26φ: C2/C1C2 ⊆ Out D4×C26208(D4xC26).13C2416,194
(D4×C26).14C2 = D4×C52φ: trivial image208(D4xC26).14C2416,179

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