Extensions 1→N→G→Q→1 with N=C₂ and Q=D₁₀⋊C₈

Direct product G=N×Q with N=C₂ and Q=D₁₀⋊C₈

		d	ρ	Label	ID
C₂×D₁₀⋊C₈		160		C2xD10:C8	320,1089

Non-split extensions G=N.Q with N=C₂ and Q=D₁₀⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₁₀⋊C₈) = D₁₀⋊C₁₆	central extension (φ=1)	160		C2.1(D10:C8)	320,225
C₂.₂(D₁₀⋊C₈) = C₁₀.(C₄⋊C₈)	central extension (φ=1)	320		C2.2(D10:C8)	320,256
C₂.₃(D₁₀⋊C₈) = D₂₀⋊C₈	central stem extension (φ=1)	160		C2.3(D10:C8)	320,209
C₂.₄(D₁₀⋊C₈) = Dic₁₀⋊₁C₈	central stem extension (φ=1)	320		C2.4(D10:C8)	320,210
C₂.₅(D₁₀⋊C₈) = C₂₀.₁₀M₄(2)	central stem extension (φ=1)	80	4	C2.5(D10:C8)	320,229
C₂.₆(D₁₀⋊C₈) = D₂₀.C₈	central stem extension (φ=1)	160	8	C2.6(D10:C8)	320,236
C₂.₇(D₁₀⋊C₈) = (C₂²×C₄).F₅	central stem extension (φ=1)	160		C2.7(D10:C8)	320,252
C₂.₈(D₁₀⋊C₈) = C₅⋊(C₂³⋊C₈)	central stem extension (φ=1)	80		C2.8(D10:C8)	320,253

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁