Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃×Q₈

Direct product G=N×Q with N=C₁₅ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₃×C₁₅		360		Q8xC3xC15	360,117

Semidirect products G=N:Q with N=C₁₅ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊(C₃×Q₈) = C₃×C₁₅⋊Q₈	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₁₅	120	4	C15:(C3xQ8)	360,64
C₁₅⋊₂(C₃×Q₈) = C₃×Dic₃₀	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:2(C3xQ8)	360,100
C₁₅⋊₃(C₃×Q₈) = C₃²×Dic₁₀	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₅	360		C15:3(C3xQ8)	360,90
C₁₅⋊₄(C₃×Q₈) = C₁₅×Dic₆	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₅	120	2	C15:4(C3xQ8)	360,95

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.(C₃×Q₈) = C₉×Dic₁₀	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₅	360	2	C15.(C3xQ8)	360,15
C₁₅.₂(C₃×Q₈) = Q₈×C₄₅	central extension (φ=1)	360	2	C15.2(C3xQ8)	360,32

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