Extensions 1→N→G→Q→1 with N=C₁₅⋊₃C₁₆ and Q=C₂

Direct product G=N×Q with N=C₁₅⋊₃C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₅⋊₃C₁₆		480		C2xC15:3C16	480,171

Semidirect products G=N:Q with N=C₁₅⋊₃C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊₃C₁₆⋊₁C₂ = C₁₅⋊₇D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4+	C15:3C16:1C2	480,186
C₁₅⋊₃C₁₆⋊₂C₂ = D₈.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4-	C15:3C16:2C2	480,187
C₁₅⋊₃C₁₆⋊₃C₂ = C₈.₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4+	C15:3C16:3C2	480,188
C₁₅⋊₃C₁₆⋊₄C₂ = C₁₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:4C2	480,13
C₁₅⋊₃C₁₆⋊₅C₂ = C₄₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:5C2	480,16
C₁₅⋊₃C₁₆⋊₆C₂ = C₁₅⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:6C2	480,17
C₁₅⋊₃C₁₆⋊₇C₂ = C₈₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	2	C15:3C16:7C2	480,158
C₁₅⋊₃C₁₆⋊₈C₂ = C₆₀.₇C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	2	C15:3C16:8C2	480,172
C₁₅⋊₃C₁₆⋊₉C₂ = D₅×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:9C2	480,7
C₁₅⋊₃C₁₆⋊₁₀C₂ = S₃×C₅⋊₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:10C2	480,8
C₁₅⋊₃C₁₆⋊₁₁C₂ = C₄₀.₅₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:11C2	480,10
C₁₅⋊₃C₁₆⋊₁₂C₂ = C₄₀.₅₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	240	4	C15:3C16:12C2	480,11
C₁₅⋊₃C₁₆⋊₁₃C₂ = C₁₆×D₁₅	φ: trivial image	240	2	C15:3C16:13C2	480,157

Non-split extensions G=N.Q with N=C₁₅⋊₃C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊₃C₁₆.₁C₂ = C₁₅⋊₇Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	480	4-	C15:3C16.1C2	480,189
C₁₅⋊₃C₁₆.₂C₂ = C₁₅⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₁₆	480	4	C15:3C16.2C2	480,22

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