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

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

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

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

extension	φ:Q→Aut N	d	Label	ID
C₂⁴⋊C₁₄ = C₂²×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂⁴	28	C2^4:C14	224,195
C₂⁴⋊₂C₁₄ = C₇×C₂²≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁴	56	C2^4:2C14	224,155
C₂⁴⋊₃C₁₄ = D₄×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁴	112	C2^4:3C14	224,190

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.C₁₄ = C₄×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂⁴	28	7	C2^4.C14	224,173
C₂⁴.₂C₁₄ = C₁₄×C₂²⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂⁴	112		C2^4.2C14	224,150

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