Extensions 1→N→G→Q→1 with N=C₂ and Q=D₁₀⋊Dic₃

Direct product G=N×Q with N=C₂ and Q=D₁₀⋊Dic₃

		d	ρ	Label	ID
C₂×D₁₀⋊Dic₃		240		C2xD10:Dic3	480,611

Non-split extensions G=N.Q with N=C₂ and Q=D₁₀⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₁₀⋊Dic₃) = C₆₀.₉₃D₄	central extension (φ=1)	240		C2.1(D10:Dic3)	480,31
C₂.₂(D₁₀⋊Dic₃) = C₃₀.₂₄C₄²	central extension (φ=1)	480		C2.2(D10:Dic3)	480,70
C₂.₃(D₁₀⋊Dic₃) = C₆₀.₂₈D₄	central stem extension (φ=1)	120	4	C2.3(D10:Dic3)	480,34
C₂.₄(D₁₀⋊Dic₃) = C₁₂.₆D₂₀	central stem extension (φ=1)	240	4	C2.4(D10:Dic3)	480,37
C₂.₅(D₁₀⋊Dic₃) = C₃₀.D₈	central stem extension (φ=1)	240		C2.5(D10:Dic3)	480,40
C₂.₆(D₁₀⋊Dic₃) = C₆.D₄₀	central stem extension (φ=1)	240		C2.6(D10:Dic3)	480,41
C₂.₇(D₁₀⋊Dic₃) = C₃₀.Q₁₆	central stem extension (φ=1)	480		C2.7(D10:Dic3)	480,46
C₂.₈(D₁₀⋊Dic₃) = C₆.Dic₂₀	central stem extension (φ=1)	480		C2.8(D10:Dic3)	480,47
C₂.₉(D₁₀⋊Dic₃) = C₆₀.₉₆D₄	central stem extension (φ=1)	120	4	C2.9(D10:Dic3)	480,52
C₂.₁₀(D₁₀⋊Dic₃) = C₆₀.₉₇D₄	central stem extension (φ=1)	120	4	C2.10(D10:Dic3)	480,53
C₂.₁₁(D₁₀⋊Dic₃) = (C₂×C₆).D₂₀	central stem extension (φ=1)	120	4	C2.11(D10:Dic3)	480,71

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁