Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₂₆

Direct product G=N×Q with N=C₂×C₄ and Q=C₂₆

		d	ρ	Label	ID
C₂²×C₅₂		208		C2^2xC52	208,45

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₂₆ = C₁₃×C₂²⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₄	104		(C2xC4):1C26	208,21
(C₂×C₄)⋊₂C₂₆ = D₄×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₄	104		(C2xC4):2C26	208,46
(C₂×C₄)⋊₃C₂₆ = C₁₃×C₄○D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₄	104	2	(C2xC4):3C26	208,48

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₂₆ = C₁₃×C₄⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).1C26	208,22
(C₂×C₄).₂C₂₆ = C₁₃×M₄(2)	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₄	104	2	(C2xC4).2C26	208,24
(C₂×C₄).₃C₂₆ = Q₈×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₄	208		(C2xC4).3C26	208,47

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C26