Extensions 1→N→G→Q→1 with N=C₅₈ and Q=C₂²

Direct product G=N×Q with N=C₅₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₅₈		232		C2^2xC58	232,14

Semidirect products G=N:Q with N=C₅₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈⋊C₂² = C₂²×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₈	116		C58:C2^2	232,13

Non-split extensions G=N.Q with N=C₅₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈.₁C₂² = Dic₅₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₈	232	2-	C58.1C2^2	232,4
C₅₈.₂C₂² = C₄×D₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₈	116	2	C58.2C2^2	232,5
C₅₈.₃C₂² = D₁₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₈	116	2+	C58.3C2^2	232,6
C₅₈.₄C₂² = C₂×Dic₂₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₈	232		C58.4C2^2	232,7
C₅₈.₅C₂² = C₂₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₈	116	2	C58.5C2^2	232,8
C₅₈.₆C₂² = D₄×C₂₉	central extension (φ=1)	116	2	C58.6C2^2	232,10
C₅₈.₇C₂² = Q₈×C₂₉	central extension (φ=1)	232	2	C58.7C2^2	232,11

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