Extensions 1→N→G→Q→1 with N=D₅₈ and Q=C₂²

Direct product G=N×Q with N=D₅₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₂₉		232		C2^3xD29	464,50

Semidirect products G=N:Q with N=D₅₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₈⋊₁C₂² = C₂×D₁₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	232		D58:1C2^2	464,37
D₅₈⋊₂C₂² = D₄×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	116	4+	D58:2C2^2	464,39
D₅₈⋊₃C₂² = C₂×C₂₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	232		D58:3C2^2	464,44

Non-split extensions G=N.Q with N=D₅₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₈.₁C₂² = D₁₁₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	232	2	D58.1C2^2	464,38
D₅₈.₂C₂² = D₄⋊₂D₂₉	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	232	4-	D58.2C2^2	464,40
D₅₈.₃C₂² = Q₈⋊₂D₂₉	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	232	4+	D58.3C2^2	464,42
D₅₈.₄C₂² = C₄×C₂₉⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	116	4	D58.4C2^2	464,30
D₅₈.₅C₂² = C₁₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	116	4	D58.5C2^2	464,31
D₅₈.₆C₂² = D₂₉.D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	116	4+	D58.6C2^2	464,34
D₅₈.₇C₂² = C₂²×C₂₉⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₈	116		D58.7C2^2	464,49
D₅₈.₈C₂² = C₂×C₄×D₂₉	φ: trivial image	232		D58.8C2^2	464,36
D₅₈.₉C₂² = Q₈×D₂₉	φ: trivial image	232	4-	D58.9C2^2	464,41

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