Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×Dic₂₅

Direct product G=N×Q with N=C₂ and Q=C₂×Dic₂₅

		d	ρ	Label	ID
C₂²×Dic₂₅		400		C2^2xDic25	400,43

Non-split extensions G=N.Q with N=C₂ and Q=C₂×Dic₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×Dic₂₅) = C₂×C₂₅⋊₂C₈	central extension (φ=1)	400		C2.1(C2xDic25)	400,9
C₂.₂(C₂×Dic₂₅) = C₄×Dic₂₅	central extension (φ=1)	400		C2.2(C2xDic25)	400,11
C₂.₃(C₂×Dic₂₅) = C₄.Dic₂₅	central stem extension (φ=1)	200	2	C2.3(C2xDic25)	400,10
C₂.₄(C₂×Dic₂₅) = C₄⋊Dic₂₅	central stem extension (φ=1)	400		C2.4(C2xDic25)	400,13
C₂.₅(C₂×Dic₂₅) = C₂³.D₂₅	central stem extension (φ=1)	200		C2.5(C2xDic25)	400,19

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁