Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₅₈

Direct product G=N×Q with N=C₂×C₄ and Q=C₅₈

		d	ρ	Label	ID
C₂²×C₁₁₆		464		C2^2xC116	464,45

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₅₈ = C₂²⋊C₄×C₂₉	φ: C₅₈/C₂₉ → C₂ ⊆ Aut C₂×C₄	232		(C2xC4):1C58	464,21
(C₂×C₄)⋊₂C₅₈ = D₄×C₅₈	φ: C₅₈/C₂₉ → C₂ ⊆ Aut C₂×C₄	232		(C2xC4):2C58	464,46
(C₂×C₄)⋊₃C₅₈ = C₄○D₄×C₂₉	φ: C₅₈/C₂₉ → C₂ ⊆ Aut C₂×C₄	232	2	(C2xC4):3C58	464,48

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₅₈ = C₄⋊C₄×C₂₉	φ: C₅₈/C₂₉ → C₂ ⊆ Aut C₂×C₄	464		(C2xC4).1C58	464,22
(C₂×C₄).₂C₅₈ = M₄(2)×C₂₉	φ: C₅₈/C₂₉ → C₂ ⊆ Aut C₂×C₄	232	2	(C2xC4).2C58	464,24
(C₂×C₄).₃C₅₈ = Q₈×C₅₈	φ: C₅₈/C₂₉ → C₂ ⊆ Aut C₂×C₄	464		(C2xC4).3C58	464,47

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C58