Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅₈

Direct product G=N×Q with N=D₄ and Q=C₅₈

		d	ρ	Label	ID
D₄×C₅₈		232		D4xC58	464,46

Semidirect products G=N:Q with N=D₄ and Q=C₅₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₅₈ = D₈×C₂₉	φ: C₅₈/C₂₉ → C₂ ⊆ Out D₄	232	2	D4:C58	464,25
D₄⋊₂C₅₈ = C₄○D₄×C₂₉	φ: trivial image	232	2	D4:2C58	464,48

Non-split extensions G=N.Q with N=D₄ and Q=C₅₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₅₈ = SD₁₆×C₂₉	φ: C₅₈/C₂₉ → C₂ ⊆ Out D₄	232	2	D4.C58	464,26

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Extensions 1→N→G→Q→1 with N=D4 and Q=C58