Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₅⋊D₅

Direct product G=N×Q with N=C₂ and Q=C₂×C₅⋊D₅

		d	ρ	Label	ID
C₂²×C₅⋊D₅		100		C2^2xC5:D5	200,51

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₅⋊D₅) = C₄×C₅⋊D₅	central extension (φ=1)	100		C2.1(C2xC5:D5)	200,33
C₂.₂(C₂×C₅⋊D₅) = C₂×C₅²⋊₆C₄	central extension (φ=1)	200		C2.2(C2xC5:D5)	200,35
C₂.₃(C₂×C₅⋊D₅) = C₅²⋊₄Q₈	central stem extension (φ=1)	200		C2.3(C2xC5:D5)	200,32
C₂.₄(C₂×C₅⋊D₅) = C₂₀⋊D₅	central stem extension (φ=1)	100		C2.4(C2xC5:D5)	200,34
C₂.₅(C₂×C₅⋊D₅) = C₅²⋊₇D₄	central stem extension (φ=1)	100		C2.5(C2xC5:D5)	200,36

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁