Extensions 1→N→G→Q→1 with N=C₂×SL₂(𝔽₃) and Q=D₅

Direct product G=N×Q with N=C₂×SL₂(𝔽₃) and Q=D₅

		d	ρ	Label	ID
C₂×D₅×SL₂(𝔽₃)		80		C2xD5xSL(2,3)	480,1039

Semidirect products G=N:Q with N=C₂×SL₂(𝔽₃) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃))⋊₁D₅ = SL₂(𝔽₃).₁₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	80	4	(C2xSL(2,3)):1D5	480,1040
(C₂×SL₂(𝔽₃))⋊₂D₅ = C₂×Q₈⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	80		(C2xSL(2,3)):2D5	480,1028
(C₂×SL₂(𝔽₃))⋊₃D₅ = Q₈.D₃₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	80	4	(C2xSL(2,3)):3D5	480,1029
(C₂×SL₂(𝔽₃))⋊₄D₅ = C₂×Dic₅.A₄	φ: trivial image	160		(C2xSL(2,3)):4D5	480,1038

Non-split extensions G=N.Q with N=C₂×SL₂(𝔽₃) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃)).₁D₅ = Q₈⋊Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	160		(C2xSL(2,3)).1D5	480,260
(C₂×SL₂(𝔽₃)).₂D₅ = C₂×Q₈.D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	160		(C2xSL(2,3)).2D5	480,1027
(C₂×SL₂(𝔽₃)).₃D₅ = Dic₅×SL₂(𝔽₃)	φ: trivial image	160		(C2xSL(2,3)).3D5	480,266

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