Extensions 1→N→G→Q→1 with N=C₂²×C₅₈ and Q=C₂

Direct product G=N×Q with N=C₂²×C₅₈ and Q=C₂

		d	ρ	Label	ID
C₂³×C₅₈		464		C2^3xC58	464,51

Semidirect products G=N:Q with N=C₂²×C₅₈ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₅₈)⋊₁C₂ = D₄×C₅₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₈	232	(C2^2xC58):1C2	464,46
(C₂²×C₅₈)⋊₂C₂ = C₂×C₂₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₈	232	(C2^2xC58):2C2	464,44
(C₂²×C₅₈)⋊₃C₂ = C₂³×D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₈	232	(C2^2xC58):3C2	464,50

Non-split extensions G=N.Q with N=C₂²×C₅₈ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₅₈).₁C₂ = C₂²⋊C₄×C₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₈	232	(C2^2xC58).1C2	464,21
(C₂²×C₅₈).₂C₂ = C₂³.D₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₈	232	(C2^2xC58).2C2	464,19
(C₂²×C₅₈).₃C₂ = C₂²×Dic₂₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₈	464	(C2^2xC58).3C2	464,43

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Extensions 1→N→G→Q→1 with N=C22×C58 and Q=C2