Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂₄

Direct product G=N×Q with N=C₁₅ and Q=C₂₄

		d	ρ	Label	ID
C₃×C₁₂₀		360		C3xC120	360,38

Semidirect products G=N:Q with N=C₁₅ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁C₂₄ = C₃×C₁₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₁₅	120	4	C15:1C24	360,53
C₁₅⋊₂C₂₄ = C₃²×C₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₁₅	360		C15:2C24	360,52
C₁₅⋊₃C₂₄ = C₃×C₁₅⋊₃C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:3C24	360,35
C₁₅⋊₄C₂₄ = C₃²×C₅⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₅	360		C15:4C24	360,33
C₁₅⋊₅C₂₄ = C₁₅×C₃⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:5C24	360,34

Non-split extensions G=N.Q with N=C₁₅ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.C₂₄ = C₉×C₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₁₅	360	4	C15.C24	360,5
C₁₅.₂C₂₄ = C₉×C₅⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₅	360	2	C15.2C24	360,2

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