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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅)⋊₁Q₈ = C₅×PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃×C₁₅	45	8	(C3xC15):1Q8	360,135
(C₃×C₁₅)⋊₂Q₈ = C₃²⋊Dic₁₀	φ: Q₈/C₁ → Q₈ ⊆ Aut C₃×C₁₅	45	8	(C3xC15):2Q8	360,136
(C₃×C₁₅)⋊₃Q₈ = C₃×C₁₅⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₅	120	4	(C3xC15):3Q8	360,64
(C₃×C₁₅)⋊₄Q₈ = C₁₅⋊Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₅	360		(C3xC15):4Q8	360,71
(C₃×C₁₅)⋊₅Q₈ = C₃⋊Dic₃₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₅	120	4-	(C3xC15):5Q8	360,83
(C₃×C₁₅)⋊₆Q₈ = C₃²⋊₃Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₅	120	4	(C3xC15):6Q8	360,88
(C₃×C₁₅)⋊₇Q₈ = C₅×C₃²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃×C₁₅	120	4	(C3xC15):7Q8	360,76
(C₃×C₁₅)⋊₈Q₈ = C₁₂.D₁₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₅	360		(C3xC15):8Q8	360,110
(C₃×C₁₅)⋊₉Q₈ = C₃×Dic₃₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₅	120	2	(C3xC15):9Q8	360,100
(C₃×C₁₅)⋊₁₀Q₈ = C₃²×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₅	360		(C3xC15):10Q8	360,90
(C₃×C₁₅)⋊₁₁Q₈ = C₁₅×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₅	120	2	(C3xC15):11Q8	360,95
(C₃×C₁₅)⋊₁₂Q₈ = C₅×C₃²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃×C₁₅	360		(C3xC15):12Q8	360,105

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