Extensions 1→N→G→Q→1 with N=C₂².₅₈C₂⁴ and Q=C₂

Direct product G=N×Q with N=C₂².₅₈C₂⁴ and Q=C₂

		d	ρ	Label	ID
C₂×C₂².₅₈C₂⁴		128		C2xC2^2.58C2^4	128,2262

Semidirect products G=N:Q with N=C₂².₅₈C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².₅₈C₂⁴⋊₁C₂ = C₄².₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₈C₂⁴	64		C2^2.58C2^4:1C2	128,390
C₂².₅₈C₂⁴⋊₂C₂ = C₂².₁₄₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₈C₂⁴	64		C2^2.58C2^4:2C2	128,2285
C₂².₅₈C₂⁴⋊₃C₂ = C₂².₁₄₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₈C₂⁴	64		C2^2.58C2^4:3C2	128,2288
C₂².₅₈C₂⁴⋊₄C₂ = C₂².₁₅₂C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₈C₂⁴	64		C2^2.58C2^4:4C2	128,2295
C₂².₅₈C₂⁴⋊₅C₂ = C₂².₁₅₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₈C₂⁴	64		C2^2.58C2^4:5C2	128,2299
C₂².₅₈C₂⁴⋊₆C₂ = C₂².₁₂₀C₂⁵	φ: trivial image	64		C2^2.58C2^4:6C2	128,2263

Non-split extensions G=N.Q with N=C₂².₅₈C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂².₅₈C₂⁴.C₂ = C₄².₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂².₅₈C₂⁴	128		C2^2.58C2^4.C2	128,395

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