Extensions 1→N→G→Q→1 with N=C₂⁴×C₁₄ and Q=C₂

Direct product G=N×Q with N=C₂⁴×C₁₄ and Q=C₂

		d	ρ	Label	ID
C₂⁵×C₁₄		448		C2^5xC14	448,1396

Semidirect products G=N:Q with N=C₂⁴×C₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₁₄)⋊₁C₂ = C₁₄×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	112		(C2^4xC14):1C2	448,1304
(C₂⁴×C₁₄)⋊₂C₂ = D₄×C₂²×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	224		(C2^4xC14):2C2	448,1386
(C₂⁴×C₁₄)⋊₃C₂ = C₂×C₂⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	112		(C2^4xC14):3C2	448,1293
(C₂⁴×C₁₄)⋊₄C₂ = C₂³×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	224		(C2^4xC14):4C2	448,1384
(C₂⁴×C₁₄)⋊₅C₂ = D₇×C₂⁵	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	224		(C2^4xC14):5C2	448,1395

Non-split extensions G=N.Q with N=C₂⁴×C₁₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₁₄).₁C₂ = C₇×C₂⁴⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	112		(C2^4xC14).1C2	448,787
(C₂⁴×C₁₄).₂C₂ = C₂²⋊C₄×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	224		(C2^4xC14).2C2	448,1295
(C₂⁴×C₁₄).₃C₂ = C₂⁵.D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	112		(C2^4xC14).3C2	448,781
(C₂⁴×C₁₄).₄C₂ = C₂²×C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	224		(C2^4xC14).4C2	448,1292
(C₂⁴×C₁₄).₅C₂ = C₂⁴×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂⁴×C₁₄	448		(C2^4xC14).5C2	448,1383

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