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

		d	ρ	Label	ID
D₄×C₂×C₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₂₆ = C₁₃×C₂²≀C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	104		(C2xD4):1C26	416,181
(C₂×D₄)⋊₂C₂₆ = C₁₃×C₄⋊D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):2C26	416,182
(C₂×D₄)⋊₃C₂₆ = C₁₃×C₄⋊₁D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):3C26	416,188
(C₂×D₄)⋊₄C₂₆ = D₈×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4):4C26	416,193
(C₂×D₄)⋊₅C₂₆ = C₁₃×C₈⋊C₂²	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4):5C26	416,197
(C₂×D₄)⋊₆C₂₆ = C₁₃×2₊¹⁺⁴	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4):6C26	416,231
(C₂×D₄)⋊₇C₂₆ = C₄○D₄×C₂₆	φ: trivial image	208		(C2xD4):7C26	416,230

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₂₆ = C₁₃×C₂³⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4).1C26	416,49
(C₂×D₄).₂C₂₆ = C₁₃×C₄.D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	104	4	(C2xD4).2C26	416,50
(C₂×D₄).₃C₂₆ = C₁₃×D₄⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).3C26	416,52
(C₂×D₄).₄C₂₆ = C₁₃×C₂².D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).4C26	416,184
(C₂×D₄).₅C₂₆ = C₁₃×C₄.₄D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).5C26	416,185
(C₂×D₄).₆C₂₆ = SD₁₆×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂×D₄	208		(C2xD4).6C26	416,194
(C₂×D₄).₇C₂₆ = D₄×C₅₂	φ: trivial image	208		(C2xD4).7C26	416,179

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