Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄².D₅

Direct product G=N×Q with N=C₂ and Q=C₄².D₅

		d	ρ	Label	ID
C₂×C₄².D₅		320		C2xC4^2.D5	320,548

Non-split extensions G=N.Q with N=C₂ and Q=C₄².D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄².D₅) = C₄².₂₇₉D₁₀	central extension (φ=1)	320		C2.1(C4^2.D5)	320,12
C₂.₂(C₄².D₅) = (C₂×C₂₀)⋊₈C₈	central extension (φ=1)	320		C2.2(C4^2.D5)	320,82
C₂.₃(C₄².D₅) = C₂₀.₄₅C₄²	central stem extension (φ=1)	80	4	C2.3(C4^2.D5)	320,24

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C42.D5