Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈×D₅

Direct product G=N×Q with N=C₂ and Q=C₈×D₅

		d	ρ	Label	ID
D₅×C₂×C₈		80		D5xC2xC8	160,120

Non-split extensions G=N.Q with N=C₂ and Q=C₈×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₈×D₅) = D₅×C₁₆	central extension (φ=1)	80	2	C2.1(C8xD5)	160,4
C₂.₂(C₈×D₅) = C₈×Dic₅	central extension (φ=1)	160		C2.2(C8xD5)	160,20
C₂.₃(C₈×D₅) = C₈₀⋊C₂	central stem extension (φ=1)	80	2	C2.3(C8xD5)	160,5
C₂.₄(C₈×D₅) = C₂₀.₈Q₈	central stem extension (φ=1)	160		C2.4(C8xD5)	160,21
C₂.₅(C₈×D₅) = D₁₀⋊₁C₈	central stem extension (φ=1)	80		C2.5(C8xD5)	160,27

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁