Extensions 1→N→G→Q→1 with N=C₅₈ and Q=C₄

Direct product G=N×Q with N=C₅₈ and Q=C₄

		d	ρ	Label	ID
C₂×C₁₁₆		232		C2xC116	232,9

Semidirect products G=N:Q with N=C₅₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈⋊C₄ = C₂×C₂₉⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅₈	58	4+	C58:C4	232,12
C₅₈⋊₂C₄ = C₂×Dic₂₉	φ: C₄/C₂ → C₂ ⊆ Aut C₅₈	232		C58:2C4	232,7

Non-split extensions G=N.Q with N=C₅₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈.C₄ = C₂₉⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅₈	232	4-	C58.C4	232,3
C₅₈.₂C₄ = C₂₉⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅₈	232	2	C58.2C4	232,1

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Extensions 1→N→G→Q→1 with N=C58 and Q=C4