Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄xC₅:D₄

Direct product G=NxQ with N=C₂ and Q=C₄xC₅:D₄

		d	ρ	Label	ID
C₂xC₄xC₅:D₄		160		C2xC4xC5:D4	320,1460

Non-split extensions G=N.Q with N=C₂ and Q=C₄xC₅:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄xC₅:D₄) = C₄xC₁₀.D₄	central extension (φ=1)	320		C2.1(C4xC5:D4)	320,558
C₂.₂(C₄xC₅:D₄) = C₄xD₁₀:C₄	central extension (φ=1)	160		C2.2(C4xC5:D4)	320,565
C₂.₃(C₄xC₅:D₄) = C₈xC₅:D₄	central extension (φ=1)	160		C2.3(C4xC5:D4)	320,736
C₂.₄(C₄xC₅:D₄) = C₄xC₂³.D₅	central extension (φ=1)	160		C2.4(C4xC5:D4)	320,836
C₂.₅(C₄xC₅:D₄) = C₁₀.₉₂(C₄xD₄)	central stem extension (φ=1)	320		C2.5(C4xC5:D4)	320,560
C₂.₆(C₄xC₅:D₄) = (C₂xC₄²):D₅	central stem extension (φ=1)	160		C2.6(C4xC5:D4)	320,567
C₂.₇(C₄xC₅:D₄) = C₂⁴.₃D₁₀	central stem extension (φ=1)	160		C2.7(C4xC5:D4)	320,571
C₂.₈(C₄xC₅:D₄) = C₂⁴.₄D₁₀	central stem extension (φ=1)	160		C2.8(C4xC5:D4)	320,572
C₂.₉(C₄xC₅:D₄) = C₂⁴.₁₂D₁₀	central stem extension (φ=1)	160		C2.9(C4xC5:D4)	320,583
C₂.₁₀(C₄xC₅:D₄) = C₂⁴.₁₃D₁₀	central stem extension (φ=1)	160		C2.10(C4xC5:D4)	320,584
C₂.₁₁(C₄xC₅:D₄) = C₁₀.₉₆(C₄xD₄)	central stem extension (φ=1)	320		C2.11(C4xC5:D4)	320,599
C₂.₁₂(C₄xC₅:D₄) = C₁₀.₉₇(C₄xD₄)	central stem extension (φ=1)	320		C2.12(C4xC5:D4)	320,605
C₂.₁₃(C₄xC₅:D₄) = D₁₀:₅(C₄:C₄)	central stem extension (φ=1)	160		C2.13(C4xC5:D4)	320,616
C₂.₁₄(C₄xC₅:D₄) = C₁₀.₉₀(C₄xD₄)	central stem extension (φ=1)	160		C2.14(C4xC5:D4)	320,617
C₂.₁₅(C₄xC₅:D₄) = C₄xD₄:D₅	central stem extension (φ=1)	160		C2.15(C4xC5:D4)	320,640
C₂.₁₆(C₄xC₅:D₄) = C₄².₄₈D₁₀	central stem extension (φ=1)	160		C2.16(C4xC5:D4)	320,641
C₂.₁₇(C₄xC₅:D₄) = C₄xD₄.D₅	central stem extension (φ=1)	160		C2.17(C4xC5:D4)	320,644
C₂.₁₈(C₄xC₅:D₄) = C₄².₅₁D₁₀	central stem extension (φ=1)	160		C2.18(C4xC5:D4)	320,645
C₂.₁₉(C₄xC₅:D₄) = C₄xQ₈:D₅	central stem extension (φ=1)	160		C2.19(C4xC5:D4)	320,652
C₂.₂₀(C₄xC₅:D₄) = C₄².₅₆D₁₀	central stem extension (φ=1)	160		C2.20(C4xC5:D4)	320,653
C₂.₂₁(C₄xC₅:D₄) = C₄xC₅:Q₁₆	central stem extension (φ=1)	320		C2.21(C4xC5:D4)	320,656
C₂.₂₂(C₄xC₅:D₄) = C₄².₅₉D₁₀	central stem extension (φ=1)	320		C2.22(C4xC5:D4)	320,657
C₂.₂₃(C₄xC₅:D₄) = C₄₀:₃₂D₄	central stem extension (φ=1)	160		C2.23(C4xC5:D4)	320,738
C₂.₂₄(C₄xC₅:D₄) = C₄₀:D₄	central stem extension (φ=1)	160		C2.24(C4xC5:D4)	320,754
C₂.₂₅(C₄xC₅:D₄) = C₄₀:₁₈D₄	central stem extension (φ=1)	160		C2.25(C4xC5:D4)	320,755
C₂.₂₆(C₄xC₅:D₄) = C₄₀.₉₃D₄	central stem extension (φ=1)	80	4	C2.26(C4xC5:D4)	320,771
C₂.₂₇(C₄xC₅:D₄) = C₄₀.₅₀D₄	central stem extension (φ=1)	80	4	C2.27(C4xC5:D4)	320,772
C₂.₂₈(C₄xC₅:D₄) = C₂⁴.₆₂D₁₀	central stem extension (φ=1)	160		C2.28(C4xC5:D4)	320,837
C₂.₂₉(C₄xC₅:D₄) = C₂⁴.₆₅D₁₀	central stem extension (φ=1)	160		C2.29(C4xC5:D4)	320,840

Extensions 1→N→G→Q→1 with N=C2 and Q=C4xC5:D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄xC₅:D₄