Extensions 1→N→G→Q→1 with N=C₂ and Q=D₅×S₄

Direct product G=N×Q with N=C₂ and Q=D₅×S₄

		d	ρ	Label	ID
C₂×D₅×S₄		30	6+	C2xD5xS4	480,1193

Non-split extensions G=N.Q with N=C₂ and Q=D₅×S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₅×S₄) = Dic₅×S₄	central extension (φ=1)	60	6-	C2.1(D5xS4)	480,976
C₂.₂(D₅×S₄) = Dic₅⋊₂S₄	central extension (φ=1)	60	6	C2.2(D5xS4)	480,977
C₂.₃(D₅×S₄) = D₅×A₄⋊C₄	central extension (φ=1)	60	6	C2.3(D5xS4)	480,979
C₂.₄(D₅×S₄) = CSU₂(𝔽₃)⋊D₅	central stem extension (φ=1)	160	4	C2.4(D5xS4)	480,967
C₂.₅(D₅×S₄) = Dic₅.₆S₄	central stem extension (φ=1)	80	4	C2.5(D5xS4)	480,968
C₂.₆(D₅×S₄) = Dic₅.₇S₄	central stem extension (φ=1)	80	4+	C2.6(D5xS4)	480,969
C₂.₇(D₅×S₄) = GL₂(𝔽₃)⋊D₅	central stem extension (φ=1)	80	4+	C2.7(D5xS4)	480,970
C₂.₈(D₅×S₄) = D₅×CSU₂(𝔽₃)	central stem extension (φ=1)	80	4-	C2.8(D5xS4)	480,971
C₂.₉(D₅×S₄) = D₁₀.₁S₄	central stem extension (φ=1)	80	4-	C2.9(D5xS4)	480,972
C₂.₁₀(D₅×S₄) = D₁₀.₂S₄	central stem extension (φ=1)	80	4	C2.10(D5xS4)	480,973
C₂.₁₁(D₅×S₄) = D₅×GL₂(𝔽₃)	central stem extension (φ=1)	40	4	C2.11(D5xS4)	480,974
C₂.₁₂(D₅×S₄) = A₄⋊Dic₁₀	central stem extension (φ=1)	120	6-	C2.12(D5xS4)	480,975
C₂.₁₃(D₅×S₄) = Dic₅⋊S₄	central stem extension (φ=1)	60	6	C2.13(D5xS4)	480,978
C₂.₁₄(D₅×S₄) = D₁₀⋊S₄	central stem extension (φ=1)	60	6	C2.14(D5xS4)	480,980
C₂.₁₅(D₅×S₄) = A₄⋊D₂₀	central stem extension (φ=1)	60	6+	C2.15(D5xS4)	480,981

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁