Extensions 1→N→G→Q→1 with N=C₅xC₃:C₈ and Q=C₄

Direct product G=NxQ with N=C₅xC₃:C₈ and Q=C₄

		d	ρ	Label	ID
C₂₀xC₃:C₈		480		C20xC3:C8	480,121

Semidirect products G=N:Q with N=C₅xC₃:C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₃:C₈):₁C₄ = Dic₅.Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	120	8	(C5xC3:C8):1C4	480,235
(C₅xC₃:C₈):₂C₄ = Dic₅.₄Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	120	8	(C5xC3:C8):2C4	480,236
(C₅xC₃:C₈):₃C₄ = F₅xC₃:C₈	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	120	8	(C5xC3:C8):3C4	480,223
(C₅xC₃:C₈):₄C₄ = C₃₀.C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	120	8	(C5xC3:C8):4C4	480,224
(C₅xC₃:C₈):₅C₄ = C₃₀.₃C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	120	8	(C5xC3:C8):5C4	480,225
(C₅xC₃:C₈):₆C₄ = C₃₀.₄C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	120	8	(C5xC3:C8):6C4	480,226
(C₅xC₃:C₈):₇C₄ = C₆₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):7C4	480,63
(C₅xC₃:C₈):₈C₄ = C₆₀.₅Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):8C4	480,66
(C₅xC₃:C₈):₉C₄ = Dic₅xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):9C4	480,25
(C₅xC₃:C₈):₁₀C₄ = Dic₁₅:₄C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):10C4	480,27
(C₅xC₃:C₈):₁₁C₄ = C₃₀.₂₁C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):11C4	480,28
(C₅xC₃:C₈):₁₂C₄ = C₃₀.₂₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):12C4	480,30
(C₅xC₃:C₈):₁₃C₄ = C₅xC₆.Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):13C4	480,126
(C₅xC₃:C₈):₁₄C₄ = C₅xC₁₂.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):14C4	480,127
(C₅xC₃:C₈):₁₅C₄ = C₅xC₄².S₃	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):15C4	480,122
(C₅xC₃:C₈):₁₆C₄ = C₅xC₂₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	480		(C5xC3:C8):16C4	480,134
(C₅xC₃:C₈):₁₇C₄ = Dic₃xC₄₀	φ: trivial image	480		(C5xC3:C8):17C4	480,132

Non-split extensions G=N.Q with N=C₅xC₃:C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₃:C₈).₁C₄ = D₁₀.Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	240	8	(C5xC3:C8).1C4	480,237
(C₅xC₃:C₈).₂C₄ = D₁₀.₂Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	240	8	(C5xC3:C8).2C4	480,238
(C₅xC₃:C₈).₃C₄ = D₁₅:C₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	240	8	(C5xC3:C8).3C4	480,240
(C₅xC₃:C₈).₄C₄ = D₃₀.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₅xC₃:C₈	240	8	(C5xC3:C8).4C4	480,242
(C₅xC₃:C₈).₅C₄ = C₁₂.₅₉D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	240	4	(C5xC3:C8).5C4	480,69
(C₅xC₃:C₈).₆C₄ = S₃xC₅:₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	240	4	(C5xC3:C8).6C4	480,8
(C₅xC₃:C₈).₇C₄ = C₄₀.₅₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	240	4	(C5xC3:C8).7C4	480,11
(C₅xC₃:C₈).₈C₄ = C₅xC₁₂.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	240	4	(C5xC3:C8).8C4	480,141
(C₅xC₃:C₈).₉C₄ = C₅xD₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xC₃:C₈	240	2	(C5xC3:C8).9C4	480,117
(C₅xC₃:C₈).₁₀C₄ = S₃xC₈₀	φ: trivial image	240	2	(C5xC3:C8).10C4	480,116

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