Extensions 1→N→G→Q→1 with N=C₂ and Q=D₂₀⋊₆C₄

Direct product G=N×Q with N=C₂ and Q=D₂₀⋊₆C₄

		d	ρ	Label	ID
C₂×D₂₀⋊₆C₄		160		C2xD20:6C4	320,592

Non-split extensions G=N.Q with N=C₂ and Q=D₂₀⋊₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₂₀⋊₆C₄) = D₂₀⋊₄C₈	central extension (φ=1)	160		C2.1(D20:6C4)	320,41
C₂.₂(D₂₀⋊₆C₄) = C₂₀.₃₁C₄²	central extension (φ=1)	320		C2.2(D20:6C4)	320,87
C₂.₃(D₂₀⋊₆C₄) = (C₂×D₂₀)⋊C₄	central stem extension (φ=1)	80		C2.3(D20:6C4)	320,9
C₂.₄(D₂₀⋊₆C₄) = C₂₀.₄₇D₈	central stem extension (φ=1)	320		C2.4(D20:6C4)	320,40
C₂.₅(D₂₀⋊₆C₄) = C₄.D₄₀	central stem extension (φ=1)	160		C2.5(D20:6C4)	320,43
C₂.₆(D₂₀⋊₆C₄) = D₄₀⋊₁₄C₄	central stem extension (φ=1)	80	4	C2.6(D20:6C4)	320,46
C₂.₇(D₂₀⋊₆C₄) = C₄₀.₅D₄	central stem extension (φ=1)	160		C2.7(D20:6C4)	320,49
C₂.₈(D₂₀⋊₆C₄) = C₁₀.Q₃₂	central stem extension (φ=1)	320		C2.8(D20:6C4)	320,50
C₂.₉(D₂₀⋊₆C₄) = D₄₀.₆C₄	central stem extension (φ=1)	80	4+	C2.9(D20:6C4)	320,53
C₂.₁₀(D₂₀⋊₆C₄) = C₄₀.₈D₄	central stem extension (φ=1)	160	4-	C2.10(D20:6C4)	320,54
C₂.₁₁(D₂₀⋊₆C₄) = D₄₀.₅C₄	central stem extension (φ=1)	160	4	C2.11(D20:6C4)	320,55

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