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
C₂×C₁₀.D₈		320		C2xC10.D8	320,589

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) = C₂₀.₅₃D₈	central extension (φ=1)	320		C2.1(C10.D8)	320,37
C₂.₂(C₁₀.D₈) = C₂₀.₃₁C₄²	central extension (φ=1)	320		C2.2(C10.D8)	320,87
C₂.₃(C₁₀.D₈) = C₄₀.₂Q₈	central stem extension (φ=1)	320		C2.3(C10.D8)	320,47
C₂.₄(C₁₀.D₈) = C₁₀.SD₃₂	central stem extension (φ=1)	320		C2.4(C10.D8)	320,48
C₂.₅(C₁₀.D₈) = C₄₀.₇Q₈	central stem extension (φ=1)	160	4	C2.5(C10.D8)	320,51

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁