Extensions 1→N→G→Q→1 with N=C₅₈ and Q=Q₈

Direct product G=N×Q with N=C₅₈ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅₈		464		Q8xC58	464,47

Semidirect products G=N:Q with N=C₅₈ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈⋊Q₈ = C₂×Dic₅₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₈	464		C58:Q8	464,35

Non-split extensions G=N.Q with N=C₅₈ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₅₈.₁Q₈ = C₅₈.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₈	464	C58.1Q8	464,12
C₅₈.₂Q₈ = C₄⋊Dic₂₉	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₈	464	C58.2Q8	464,13
C₅₈.₃Q₈ = C₄⋊C₄×C₂₉	central extension (φ=1)	464	C58.3Q8	464,22

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Extensions 1→N→G→Q→1 with N=C58 and Q=Q8