Extensions 1→N→G→Q→1 with N=C₂xC₃:C₈ and Q=D₅

Direct product G=NxQ with N=C₂xC₃:C₈ and Q=D₅

		d	ρ	Label	ID
C₂xD₅xC₃:C₈		240		C2xD5xC3:C8	480,357

Semidirect products G=N:Q with N=C₂xC₃:C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈):₁D₅ = C₆.D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):1D5	480,41
(C₂xC₃:C₈):₂D₅ = D₆₀:₁₂C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):2D5	480,44
(C₂xC₃:C₈):₃D₅ = D₂₀.₃Dic₃	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240	4	(C2xC3:C8):3D5	480,359
(C₂xC₃:C₈):₄D₅ = D₆₀.₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240	4	(C2xC3:C8):4D5	480,367
(C₂xC₃:C₈):₅D₅ = C₂xC₃:D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):5D5	480,376
(C₂xC₃:C₈):₆D₅ = C₂xC₆.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):6D5	480,386
(C₂xC₃:C₈):₇D₅ = D₂₀.₃₁D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240	4	(C2xC3:C8):7D5	480,387
(C₂xC₃:C₈):₈D₅ = C₂xC₁₅:SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):8D5	480,390
(C₂xC₃:C₈):₉D₅ = C₆₀.₉₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):9D5	480,31
(C₂xC₃:C₈):₁₀D₅ = D₃₀:₄C₈	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):10D5	480,33
(C₂xC₃:C₈):₁₁D₅ = C₂xC₂₀.₃₂D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):11D5	480,369
(C₂xC₃:C₈):₁₂D₅ = C₂xD₃₀.₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240		(C2xC3:C8):12D5	480,371
(C₂xC₃:C₈):₁₃D₅ = C₂xD₁₅:₂C₈	φ: trivial image	240		(C2xC3:C8):13D5	480,365

Non-split extensions G=N.Q with N=C₂xC₃:C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:C₈).₁D₅ = C₆.Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).1D5	480,47
(C₂xC₃:C₈).₂D₅ = Dic₃₀:₁₂C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).2D5	480,50
(C₂xC₃:C₈).₃D₅ = C₆₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).3D5	480,63
(C₂xC₃:C₈).₄D₅ = C₆₀.₅Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).4D5	480,66
(C₂xC₃:C₈).₅D₅ = C₁₂.₅₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	240	4	(C2xC3:C8).5D5	480,69
(C₂xC₃:C₈).₆D₅ = C₂xC₃:Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).6D5	480,395
(C₂xC₃:C₈).₇D₅ = C₃₀.₂₁C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).7D5	480,28
(C₂xC₃:C₈).₈D₅ = C₃₀.₂₃C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).8D5	480,30
(C₂xC₃:C₈).₉D₅ = C₆₀.₁₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).9D5	480,58
(C₂xC₃:C₈).₁₀D₅ = C₆₀.₁₄Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:C₈	480		(C2xC3:C8).10D5	480,59
(C₂xC₃:C₈).₁₁D₅ = Dic₅xC₃:C₈	φ: trivial image	480		(C2xC3:C8).11D5	480,25
(C₂xC₃:C₈).₁₂D₅ = Dic₁₅:₄C₈	φ: trivial image	480		(C2xC3:C8).12D5	480,27

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