Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₂₆

Direct product G=N×Q with N=C₂×C₆ and Q=C₂₆

		d	ρ	Label	ID
C₂²×C₇₈		312		C2^2xC78	312,61

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁C₂₆ = D₄×C₃₉	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₆	156	2	(C2xC6):1C26	312,43
(C₂×C₆)⋊₂C₂₆ = C₁₃×C₃⋊D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₆	156	2	(C2xC6):2C26	312,36
(C₂×C₆)⋊₃C₂₆ = S₃×C₂×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₆	156		(C2xC6):3C26	312,59

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₂₆ = Dic₃×C₂₆	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₂×C₆	312		(C2xC6).C26	312,35

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C26