Extensions 1→N→G→Q→1 with N=C₁₅⋊₃C₈ and Q=C₂

Direct product G=N×Q with N=C₁₅⋊₃C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₅⋊₃C₈		240		C2xC15:3C8	240,70

Semidirect products G=N:Q with N=C₁₅⋊₃C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊₃C₈⋊₁C₂ = D₄⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4+	C15:3C8:1C2	240,76
C₁₅⋊₃C₈⋊₂C₂ = D₄.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4-	C15:3C8:2C2	240,77
C₁₅⋊₃C₈⋊₃C₂ = Q₈⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4+	C15:3C8:3C2	240,78
C₁₅⋊₃C₈⋊₄C₂ = C₄₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	2	C15:3C8:4C2	240,66
C₁₅⋊₃C₈⋊₅C₂ = C₆₀.₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	2	C15:3C8:5C2	240,71
C₁₅⋊₃C₈⋊₆C₂ = C₁₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:6C2	240,13
C₁₅⋊₃C₈⋊₇C₂ = C₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:7C2	240,16
C₁₅⋊₃C₈⋊₈C₂ = C₂₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:8C2	240,17
C₁₅⋊₃C₈⋊₉C₂ = D₅×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:9C2	240,7
C₁₅⋊₃C₈⋊₁₀C₂ = S₃×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:10C2	240,8
C₁₅⋊₃C₈⋊₁₁C₂ = C₂₀.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:11C2	240,10
C₁₅⋊₃C₈⋊₁₂C₂ = D₆.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	120	4	C15:3C8:12C2	240,11
C₁₅⋊₃C₈⋊₁₃C₂ = C₈×D₁₅	φ: trivial image	120	2	C15:3C8:13C2	240,65

Non-split extensions G=N.Q with N=C₁₅⋊₃C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₅⋊₃C₈.₁C₂ = C₁₅⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	240	4-	C15:3C8.1C2	240,79
C₁₅⋊₃C₈.₂C₂ = C₁₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅⋊₃C₈	240	4	C15:3C8.2C2	240,22

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