Extensions 1→N→G→Q→1 with N=C₂³×C₁₄ and Q=C₂

Direct product G=N×Q with N=C₂³×C₁₄ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₁₄		224		C2^4xC14	224,197

Semidirect products G=N:Q with N=C₂³×C₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₄)⋊₁C₂ = C₇×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	56		(C2^3xC14):1C2	224,155
(C₂³×C₁₄)⋊₂C₂ = D₄×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):2C2	224,190
(C₂³×C₁₄)⋊₃C₂ = C₂⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	56		(C2^3xC14):3C2	224,148
(C₂³×C₁₄)⋊₄C₂ = C₂²×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):4C2	224,188
(C₂³×C₁₄)⋊₅C₂ = D₇×C₂⁴	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14):5C2	224,196

Non-split extensions G=N.Q with N=C₂³×C₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₄).₁C₂ = C₁₄×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).1C2	224,150
(C₂³×C₁₄).₂C₂ = C₂×C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	112		(C2^3xC14).2C2	224,147
(C₂³×C₁₄).₃C₂ = C₂³×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₄	224		(C2^3xC14).3C2	224,187

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