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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₅₈ = D₄×D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₂²	116	4+	C2^2:1D58	464,39
C₂²⋊₂D₅₈ = C₂×C₂₉⋊D₄	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₂²	232		C2^2:2D58	464,44

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₅₈ = D₄⋊₂D₂₉	φ: D₅₈/D₂₉ → C₂ ⊆ Aut C₂²	232	4-	C2^2.1D58	464,40
C₂².₂D₅₈ = D₁₁₆⋊₅C₂	φ: D₅₈/C₅₈ → C₂ ⊆ Aut C₂²	232	2	C2^2.2D58	464,38
C₂².₃D₅₈ = C₄×Dic₂₉	central extension (φ=1)	464		C2^2.3D58	464,11
C₂².₄D₅₈ = C₅₈.D₄	central extension (φ=1)	464		C2^2.4D58	464,12
C₂².₅D₅₈ = C₄⋊Dic₂₉	central extension (φ=1)	464		C2^2.5D58	464,13
C₂².₆D₅₈ = D₅₈⋊C₄	central extension (φ=1)	232		C2^2.6D58	464,14
C₂².₇D₅₈ = C₂³.D₂₉	central extension (φ=1)	232		C2^2.7D58	464,19
C₂².₈D₅₈ = C₂×Dic₅₈	central extension (φ=1)	464		C2^2.8D58	464,35
C₂².₉D₅₈ = C₂×C₄×D₂₉	central extension (φ=1)	232		C2^2.9D58	464,36
C₂².₁₀D₅₈ = C₂×D₁₁₆	central extension (φ=1)	232		C2^2.10D58	464,37
C₂².₁₁D₅₈ = C₂²×Dic₂₉	central extension (φ=1)	464		C2^2.11D58	464,43

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