Extensions 1→N→G→Q→1 with N=C₂ and Q=D₁₀⋊C₄

Direct product G=N×Q with N=C₂ and Q=D₁₀⋊C₄

		d	ρ	Label	ID
C₂×D₁₀⋊C₄		80		C2xD10:C4	160,148

Non-split extensions G=N.Q with N=C₂ and Q=D₁₀⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₁₀⋊C₄) = D₁₀⋊₁C₈	central extension (φ=1)	80		C2.1(D10:C4)	160,27
C₂.₂(D₁₀⋊C₄) = C₁₀.₁₀C₄²	central extension (φ=1)	160		C2.2(D10:C4)	160,38
C₂.₃(D₁₀⋊C₄) = D₂₀⋊₄C₄	central stem extension (φ=1)	40	2	C2.3(D10:C4)	160,12
C₂.₄(D₁₀⋊C₄) = C₂³.₁D₁₀	central stem extension (φ=1)	40	4	C2.4(D10:C4)	160,13
C₂.₅(D₁₀⋊C₄) = D₂₀⋊₆C₄	central stem extension (φ=1)	80		C2.5(D10:C4)	160,16
C₂.₆(D₁₀⋊C₄) = C₁₀.Q₁₆	central stem extension (φ=1)	160		C2.6(D10:C4)	160,17
C₂.₇(D₁₀⋊C₄) = C₂₀.₄₄D₄	central stem extension (φ=1)	160		C2.7(D10:C4)	160,23
C₂.₈(D₁₀⋊C₄) = D₂₀⋊₅C₄	central stem extension (φ=1)	80		C2.8(D10:C4)	160,28
C₂.₉(D₁₀⋊C₄) = C₂₀.₄₆D₄	central stem extension (φ=1)	40	4+	C2.9(D10:C4)	160,30
C₂.₁₀(D₁₀⋊C₄) = C₄.₁₂D₂₀	central stem extension (φ=1)	80	4-	C2.10(D10:C4)	160,31
C₂.₁₁(D₁₀⋊C₄) = D₂₀⋊₇C₄	central stem extension (φ=1)	40	4	C2.11(D10:C4)	160,32

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