Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄.₁₂D₂₀

Direct product G=N×Q with N=C₂ and Q=C₄.₁₂D₂₀

		d	ρ	Label	ID
C₂×C₄.₁₂D₂₀		160		C2xC4.12D20	320,763

Non-split extensions G=N.Q with N=C₂ and Q=C₄.₁₂D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄.₁₂D₂₀) = (C₂×Dic₅)⋊C₈	central extension (φ=1)	160		C2.1(C4.12D20)	320,27
C₂.₂(C₄.₁₂D₂₀) = M₄(2)⋊Dic₅	central extension (φ=1)	160		C2.2(C4.12D20)	320,112
C₂.₃(C₄.₁₂D₂₀) = C₄².₂D₁₀	central stem extension (φ=1)	320		C2.3(C4.12D20)	320,23
C₂.₄(C₄.₁₂D₂₀) = C₂₀.₄₇D₈	central stem extension (φ=1)	320		C2.4(C4.12D20)	320,40
C₂.₅(C₄.₁₂D₂₀) = C₂₀.₂D₈	central stem extension (φ=1)	320		C2.5(C4.12D20)	320,44

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁