Extensions 1→N→G→Q→1 with N=C₂ and Q=C₁₀×D₈

Direct product G=N×Q with N=C₂ and Q=C₁₀×D₈

		d	ρ	Label	ID
D₈×C₂×C₁₀		160		D8xC2xC10	320,1571

Non-split extensions G=N.Q with N=C₂ and Q=C₁₀×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₁₀×D₈) = C₁₀×D₄⋊C₄	central extension (φ=1)	160		C2.1(C10xD8)	320,915
C₂.₂(C₁₀×D₈) = C₁₀×C₂.D₈	central extension (φ=1)	320		C2.2(C10xD8)	320,927
C₂.₃(C₁₀×D₈) = D₈×C₂₀	central extension (φ=1)	160		C2.3(C10xD8)	320,938
C₂.₄(C₁₀×D₈) = C₅×C₂²⋊D₈	central stem extension (φ=1)	80		C2.4(C10xD8)	320,948
C₂.₅(C₁₀×D₈) = C₅×C₄⋊D₈	central stem extension (φ=1)	160		C2.5(C10xD8)	320,960
C₂.₆(C₁₀×D₈) = C₅×C₈⋊₇D₄	central stem extension (φ=1)	160		C2.6(C10xD8)	320,967
C₂.₇(C₁₀×D₈) = C₅×D₄⋊Q₈	central stem extension (φ=1)	160		C2.7(C10xD8)	320,975
C₂.₈(C₁₀×D₈) = C₅×C₂².D₈	central stem extension (φ=1)	160		C2.8(C10xD8)	320,981
C₂.₉(C₁₀×D₈) = C₅×C₄.₄D₈	central stem extension (φ=1)	160		C2.9(C10xD8)	320,987
C₂.₁₀(C₁₀×D₈) = C₅×C₈⋊₄D₄	central stem extension (φ=1)	160		C2.10(C10xD8)	320,994
C₂.₁₁(C₁₀×D₈) = C₅×C₈⋊₂Q₈	central stem extension (φ=1)	320		C2.11(C10xD8)	320,1001
C₂.₁₂(C₁₀×D₈) = C₁₀×D₁₆	central stem extension (φ=1)	160		C2.12(C10xD8)	320,1006
C₂.₁₃(C₁₀×D₈) = C₁₀×SD₃₂	central stem extension (φ=1)	160		C2.13(C10xD8)	320,1007
C₂.₁₄(C₁₀×D₈) = C₁₀×Q₃₂	central stem extension (φ=1)	320		C2.14(C10xD8)	320,1008
C₂.₁₅(C₁₀×D₈) = C₅×C₄○D₁₆	central stem extension (φ=1)	160	2	C2.15(C10xD8)	320,1009
C₂.₁₆(C₁₀×D₈) = C₅×C₁₆⋊C₂²	central stem extension (φ=1)	80	4	C2.16(C10xD8)	320,1010
C₂.₁₇(C₁₀×D₈) = C₅×Q₃₂⋊C₂	central stem extension (φ=1)	160	4	C2.17(C10xD8)	320,1011

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁