Extensions 1→N→G→Q→1 with N=C₁₅:₃C₈ and Q=C₄

Direct product G=NxQ with N=C₁₅:₃C₈ and Q=C₄

		d	ρ	Label	ID
C₄xC₁₅:₃C₈		480		C4xC15:3C8	480,162

Semidirect products G=N:Q with N=C₁₅:₃C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:₃C₈:₁C₄ = Dic₅.Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	120	8	C15:3C8:1C4	480,235
C₁₅:₃C₈:₂C₄ = Dic₅.₄Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	120	8	C15:3C8:2C4	480,236
C₁₅:₃C₈:₃C₄ = F₅xC₃:C₈	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	120	8	C15:3C8:3C4	480,223
C₁₅:₃C₈:₄C₄ = C₃₀.C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	120	8	C15:3C8:4C4	480,224
C₁₅:₃C₈:₅C₄ = C₃₀.₃C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	120	8	C15:3C8:5C4	480,225
C₁₅:₃C₈:₆C₄ = C₃₀.₄C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	120	8	C15:3C8:6C4	480,226
C₁₅:₃C₈:₇C₄ = C₆₀.₁Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:7C4	480,167
C₁₅:₃C₈:₈C₄ = C₆₀.₂Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:8C4	480,168
C₁₅:₃C₈:₉C₄ = C₄².D₁₅	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:9C4	480,163
C₁₅:₃C₈:₁₀C₄ = C₁₂₀:₁₃C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:10C4	480,175
C₁₅:₃C₈:₁₁C₄ = C₃₀.SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:11C4	480,62
C₁₅:₃C₈:₁₂C₄ = C₃₀.₂₀D₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:12C4	480,65
C₁₅:₃C₈:₁₃C₄ = Dic₅xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:13C4	480,25
C₁₅:₃C₈:₁₄C₄ = Dic₃xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:14C4	480,26
C₁₅:₃C₈:₁₅C₄ = C₃₀.₂₁C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:15C4	480,28
C₁₅:₃C₈:₁₆C₄ = C₃₀.₂₂C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	480		C15:3C8:16C4	480,29
C₁₅:₃C₈:₁₇C₄ = C₈xDic₁₅	φ: trivial image	480		C15:3C8:17C4	480,173

Non-split extensions G=N.Q with N=C₁₅:₃C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅:₃C₈.₁C₄ = D₁₀.Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	240	8	C15:3C8.1C4	480,237
C₁₅:₃C₈.₂C₄ = D₁₀.₂Dic₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	240	8	C15:3C8.2C4	480,238
C₁₅:₃C₈.₃C₄ = S₃xC₅:C₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	240	8	C15:3C8.3C4	480,239
C₁₅:₃C₈.₄C₄ = C₁₅:M₅(2)	φ: C₄/C₁ → C₄ ⊆ Out C₁₅:₃C₈	240	8	C15:3C8.4C4	480,241
C₁₅:₃C₈.₅C₄ = C₆₀.₂₁₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	240	4	C15:3C8.5C4	480,182
C₁₅:₃C₈.₆C₄ = C₈₀:S₃	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	240	2	C15:3C8.6C4	480,158
C₁₅:₃C₈.₇C₄ = C₆₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	240	4	C15:3C8.7C4	480,68
C₁₅:₃C₈.₈C₄ = D₁₅:₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	240	4	C15:3C8.8C4	480,9
C₁₅:₃C₈.₉C₄ = D₃₀.₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅:₃C₈	240	4	C15:3C8.9C4	480,12
C₁₅:₃C₈.₁₀C₄ = C₁₆xD₁₅	φ: trivial image	240	2	C15:3C8.10C4	480,157

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