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

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

		d	ρ	Label	ID
C₂⁷		128		C2^7	128,2328

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

extension	φ:Q→Aut N	d	Label	ID
C₂⁶⋊₁C₂ = C₂³≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁶	16	C2^6:1C2	128,1578
C₂⁶⋊₂C₂ = C₂²×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁶	32	C2^6:2C2	128,2163
C₂⁶⋊₃C₂ = D₄×C₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁶	64	C2^6:3C2	128,2320

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁶.₁C₂ = C₂×C₂⁴⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁶	32		C2^6.1C2	128,1009
C₂⁶.₂C₂ = C₂³×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁶	64		C2^6.2C2	128,2151

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