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

Direct product G=N×Q with N=C₁₅⋊₃C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₅⋊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 = F₅×C₃⋊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 = Dic₅×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₅⋊₃C₈	480		C15:3C8:13C4	480,25
C₁₅⋊₃C₈⋊₁₄C₄ = Dic₃×C₅⋊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 = C₈×Dic₁₅	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 = S₃×C₅⋊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 = C₁₆×D₁₅	φ: trivial image	240	2	C15:3C8.10C4	480,157

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