Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₅₈

Direct product G=N×Q with N=C₄ and Q=C₂×C₅₈

		d	ρ	Label	ID
C₂²×C₁₁₆		464		C2^2xC116	464,45

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₅₈) = D₄×C₅₈	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₄	232		C4:(C2xC58)	464,46

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₅₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₅₈) = D₈×C₂₉	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₄	232	2	C4.1(C2xC58)	464,25
C₄.₂(C₂×C₅₈) = SD₁₆×C₂₉	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₄	232	2	C4.2(C2xC58)	464,26
C₄.₃(C₂×C₅₈) = Q₁₆×C₂₉	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₄	464	2	C4.3(C2xC58)	464,27
C₄.₄(C₂×C₅₈) = Q₈×C₅₈	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₄	464		C4.4(C2xC58)	464,47
C₄.₅(C₂×C₅₈) = C₄○D₄×C₂₉	φ: C₂×C₅₈/C₅₈ → C₂ ⊆ Aut C₄	232	2	C4.5(C2xC58)	464,48
C₄.₆(C₂×C₅₈) = M₄(2)×C₂₉	central extension (φ=1)	232	2	C4.6(C2xC58)	464,24

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