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

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

Semidirect products G=N:Q with N=C2×D4 and Q=C26
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1C26 = C13×C22≀C2φ: C26/C13C2 ⊆ Out C2×D4104(C2xD4):1C26416,181
(C2×D4)⋊2C26 = C13×C4⋊D4φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4):2C26416,182
(C2×D4)⋊3C26 = C13×C41D4φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4):3C26416,188
(C2×D4)⋊4C26 = D8×C26φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4):4C26416,193
(C2×D4)⋊5C26 = C13×C8⋊C22φ: C26/C13C2 ⊆ Out C2×D41044(C2xD4):5C26416,197
(C2×D4)⋊6C26 = C13×2+ 1+4φ: C26/C13C2 ⊆ Out C2×D41044(C2xD4):6C26416,231
(C2×D4)⋊7C26 = C4○D4×C26φ: trivial image208(C2xD4):7C26416,230

Non-split extensions G=N.Q with N=C2×D4 and Q=C26
extensionφ:Q→Out NdρLabelID
(C2×D4).1C26 = C13×C23⋊C4φ: C26/C13C2 ⊆ Out C2×D41044(C2xD4).1C26416,49
(C2×D4).2C26 = C13×C4.D4φ: C26/C13C2 ⊆ Out C2×D41044(C2xD4).2C26416,50
(C2×D4).3C26 = C13×D4⋊C4φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4).3C26416,52
(C2×D4).4C26 = C13×C22.D4φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4).4C26416,184
(C2×D4).5C26 = C13×C4.4D4φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4).5C26416,185
(C2×D4).6C26 = SD16×C26φ: C26/C13C2 ⊆ Out C2×D4208(C2xD4).6C26416,194
(C2×D4).7C26 = D4×C52φ: trivial image208(C2xD4).7C26416,179

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