Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₅₈

Direct product G=N×Q with N=C₂² and Q=C₂×C₅₈

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

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₅₈) = D₄×C₅₈	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₂²	232		C2^2:(C2xC58)	464,46

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₅₈) = C₄○D₄×C₂₉	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₂²	232	2	C2^2.(C2xC58)	464,48
C₂².₂(C₂×C₅₈) = C₂²⋊C₄×C₂₉	central extension (φ=1)	232		C2^2.2(C2xC58)	464,21
C₂².₃(C₂×C₅₈) = C₄⋊C₄×C₂₉	central extension (φ=1)	464		C2^2.3(C2xC58)	464,22
C₂².₄(C₂×C₅₈) = Q₈×C₅₈	central extension (φ=1)	464		C2^2.4(C2xC58)	464,47

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C58