Extensions 1→N→G→Q→1 with N=C₅xC₃:C₈ and Q=C₂

Direct product G=NxQ with N=C₅xC₃:C₈ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₃:C₈		240		C10xC3:C8	240,54

Semidirect products G=N:Q with N=C₅xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₃:C₈):₁C₂ = C₃:D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4+	(C5xC3:C8):1C2	240,14
(C₅xC₃:C₈):₂C₂ = C₆.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4-	(C5xC3:C8):2C2	240,18
(C₅xC₃:C₈):₃C₂ = C₁₅:SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4+	(C5xC3:C8):3C2	240,19
(C₅xC₃:C₈):₄C₂ = D₅xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):4C2	240,7
(C₅xC₃:C₈):₅C₂ = D₁₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):5C2	240,9
(C₅xC₃:C₈):₆C₂ = C₂₀.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):6C2	240,10
(C₅xC₃:C₈):₇C₂ = D₃₀.₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):7C2	240,12
(C₅xC₃:C₈):₈C₂ = C₅xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):8C2	240,60
(C₅xC₃:C₈):₉C₂ = C₅xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):9C2	240,61
(C₅xC₃:C₈):₁₀C₂ = C₅xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	4	(C5xC3:C8):10C2	240,62
(C₅xC₃:C₈):₁₁C₂ = C₅xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	2	(C5xC3:C8):11C2	240,50
(C₅xC₃:C₈):₁₂C₂ = C₅xC₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	120	2	(C5xC3:C8):12C2	240,55
(C₅xC₃:C₈):₁₃C₂ = S₃xC₄₀	φ: trivial image	120	2	(C5xC3:C8):13C2	240,49

Non-split extensions G=N.Q with N=C₅xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₃:C₈).₁C₂ = C₃:Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	240	4-	(C5xC3:C8).1C2	240,23
(C₅xC₃:C₈).₂C₂ = C₅xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₃:C₈	240	4	(C5xC3:C8).2C2	240,63

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