Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=C₁₄

Direct product G=N×Q with N=C₂⁵ and Q=C₁₄

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

Semidirect products G=N:Q with N=C₂⁵ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵⋊C₁₄ = D₄×F₈	φ: C₁₄/C₁ → C₁₄ ⊆ Aut C₂⁵	28	14+	C2^5:C14	448,1363
C₂⁵⋊₂C₁₄ = C₂³×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂⁵	56		C2^5:2C14	448,1392
C₂⁵⋊₃C₁₄ = C₁₄×C₂²≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁵	112		C2^5:3C14	448,1304
C₂⁵⋊₄C₁₄ = D₄×C₂²×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁵	224		C2^5:4C14	448,1386

Non-split extensions G=N.Q with N=C₂⁵ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵.C₁₄ = C₂×C₄×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂⁵	56		C2^5.C14	448,1362
C₂⁵.₂C₁₄ = C₇×C₂⁴⋊₃C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁵	112		C2^5.2C14	448,787
C₂⁵.₃C₁₄ = C₂²⋊C₄×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁵	224		C2^5.3C14	448,1295

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