Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₅⋊F₅

Direct product G=N×Q with N=C₂ and Q=C₂×C₅⋊F₅

		d	ρ	Label	ID
C₂²×C₅⋊F₅		100		C2^2xC5:F5	400,216

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₅⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₅⋊F₅) = C₂₀.F₅	central extension (φ=1)	200		C2.1(C2xC5:F5)	400,149
C₂.₂(C₂×C₅⋊F₅) = C₄×C₅⋊F₅	central extension (φ=1)	100		C2.2(C2xC5:F5)	400,151
C₂.₃(C₂×C₅⋊F₅) = C₂×C₅²⋊₄C₈	central extension (φ=1)	400		C2.3(C2xC5:F5)	400,153
C₂.₄(C₂×C₅⋊F₅) = C₅²⋊₇M₄(2)	central stem extension (φ=1)	200		C2.4(C2xC5:F5)	400,150
C₂.₅(C₂×C₅⋊F₅) = C₂₀⋊F₅	central stem extension (φ=1)	100		C2.5(C2xC5:F5)	400,152
C₂.₆(C₂×C₅⋊F₅) = C₅²⋊₁₃M₄(2)	central stem extension (φ=1)	200		C2.6(C2xC5:F5)	400,154
C₂.₇(C₂×C₅⋊F₅) = C₁₀²⋊C₄	central stem extension (φ=1)	100		C2.7(C2xC5:F5)	400,155

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁