Extensions 1→N→G→Q→1 with N=C₂ and Q=Q₈⋊₂D₅

Direct product G=N×Q with N=C₂ and Q=Q₈⋊₂D₅

		d	ρ	Label	ID
C₂×Q₈⋊₂D₅		80		C2xQ8:2D5	160,221

Non-split extensions G=N.Q with N=C₂ and Q=Q₈⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(Q₈⋊₂D₅) = C₄⋊C₄⋊₇D₅	central extension (φ=1)	80		C2.1(Q8:2D5)	160,113
C₂.₂(Q₈⋊₂D₅) = D₂₀⋊₈C₄	central extension (φ=1)	80		C2.2(Q8:2D5)	160,114
C₂.₃(Q₈⋊₂D₅) = Q₈×Dic₅	central extension (φ=1)	160		C2.3(Q8:2D5)	160,166
C₂.₄(Q₈⋊₂D₅) = C₄.Dic₁₀	central stem extension (φ=1)	160		C2.4(Q8:2D5)	160,111
C₂.₅(Q₈⋊₂D₅) = D₁₀.₁₃D₄	central stem extension (φ=1)	80		C2.5(Q8:2D5)	160,115
C₂.₆(Q₈⋊₂D₅) = C₄⋊D₂₀	central stem extension (φ=1)	80		C2.6(Q8:2D5)	160,116
C₂.₇(Q₈⋊₂D₅) = C₄⋊C₄⋊D₅	central stem extension (φ=1)	80		C2.7(Q8:2D5)	160,119
C₂.₈(Q₈⋊₂D₅) = D₁₀⋊₃Q₈	central stem extension (φ=1)	80		C2.8(Q8:2D5)	160,167
C₂.₉(Q₈⋊₂D₅) = C₂₀.₂₃D₄	central stem extension (φ=1)	80		C2.9(Q8:2D5)	160,168

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁