Extensions 1→N→G→Q→1 with N=C₅₈ and Q=C₂³

Direct product G=N×Q with N=C₅₈ and Q=C₂³

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

Semidirect products G=N:Q with N=C₅₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈⋊C₂³ = C₂³×D₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232		C58:C2^3	464,50

Non-split extensions G=N.Q with N=C₅₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈.₁C₂³ = C₂×Dic₅₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	464		C58.1C2^3	464,35
C₅₈.₂C₂³ = C₂×C₄×D₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232		C58.2C2^3	464,36
C₅₈.₃C₂³ = C₂×D₁₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232		C58.3C2^3	464,37
C₅₈.₄C₂³ = D₁₁₆⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232	2	C58.4C2^3	464,38
C₅₈.₅C₂³ = D₄×D₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	116	4+	C58.5C2^3	464,39
C₅₈.₆C₂³ = D₄⋊₂D₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232	4-	C58.6C2^3	464,40
C₅₈.₇C₂³ = Q₈×D₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232	4-	C58.7C2^3	464,41
C₅₈.₈C₂³ = Q₈⋊₂D₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232	4+	C58.8C2^3	464,42
C₅₈.₉C₂³ = C₂²×Dic₂₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	464		C58.9C2^3	464,43
C₅₈.₁₀C₂³ = C₂×C₂₉⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₅₈	232		C58.10C2^3	464,44
C₅₈.₁₁C₂³ = D₄×C₅₈	central extension (φ=1)	232		C58.11C2^3	464,46
C₅₈.₁₂C₂³ = Q₈×C₅₈	central extension (φ=1)	464		C58.12C2^3	464,47
C₅₈.₁₃C₂³ = C₄○D₄×C₂₉	central extension (φ=1)	232	2	C58.13C2^3	464,48

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