Extensions 1→N→G→Q→1 with N=C₂×C₁₁₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₁₁₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₁₄		456		C2^2xC114	456,54

Semidirect products G=N:Q with N=C₂×C₁₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₁₄)⋊₁C₂ = D₄×C₅₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228	2	(C2xC114):1C2	456,40
(C₂×C₁₁₄)⋊₂C₂ = C₅₇⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228	2	(C2xC114):2C2	456,38
(C₂×C₁₁₄)⋊₃C₂ = C₂²×D₅₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228		(C2xC114):3C2	456,53
(C₂×C₁₁₄)⋊₄C₂ = C₃×C₁₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228	2	(C2xC114):4C2	456,28
(C₂×C₁₁₄)⋊₅C₂ = C₂×C₆×D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228		(C2xC114):5C2	456,51
(C₂×C₁₁₄)⋊₆C₂ = C₁₉×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228	2	(C2xC114):6C2	456,33
(C₂×C₁₁₄)⋊₇C₂ = S₃×C₂×C₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	228		(C2xC114):7C2	456,52

Non-split extensions G=N.Q with N=C₂×C₁₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₁₄).₁C₂ = C₂×Dic₅₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	456		(C2xC114).1C2	456,37
(C₂×C₁₁₄).₂C₂ = C₆×Dic₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	456		(C2xC114).2C2	456,27
(C₂×C₁₁₄).₃C₂ = Dic₃×C₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₁₄	456		(C2xC114).3C2	456,32

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