Extensions 1→N→G→Q→1 with N=C₂³×C₂₆ and Q=C₂

Direct product G=N×Q with N=C₂³×C₂₆ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₂₆		416		C2^4xC26	416,235

Semidirect products G=N:Q with N=C₂³×C₂₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₂₆)⋊₁C₂ = C₁₃×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	104		(C2^3xC26):1C2	416,181
(C₂³×C₂₆)⋊₂C₂ = D₄×C₂×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	208		(C2^3xC26):2C2	416,228
(C₂³×C₂₆)⋊₃C₂ = C₂⁴⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	104		(C2^3xC26):3C2	416,174
(C₂³×C₂₆)⋊₄C₂ = C₂²×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	208		(C2^3xC26):4C2	416,226
(C₂³×C₂₆)⋊₅C₂ = C₂⁴×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	208		(C2^3xC26):5C2	416,234

Non-split extensions G=N.Q with N=C₂³×C₂₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₂₆).₁C₂ = C₂²⋊C₄×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	208		(C2^3xC26).1C2	416,176
(C₂³×C₂₆).₂C₂ = C₂×C₂³.D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	208		(C2^3xC26).2C2	416,173
(C₂³×C₂₆).₃C₂ = C₂³×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₆	416		(C2^3xC26).3C2	416,225

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