Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=D₅

Direct product G=N×Q with N=C₃×Q₈ and Q=D₅

		d	ρ	Label	ID
C₃×Q₈×D₅		120	4	C3xQ8xD5	240,161

Semidirect products G=N:Q with N=C₃×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁D₅ = Q₈⋊₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₈	120	4+	(C3xQ8):1D5	240,78
(C₃×Q₈)⋊₂D₅ = Q₈×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₈	120	4-	(C3xQ8):2D5	240,181
(C₃×Q₈)⋊₃D₅ = Q₈⋊₃D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₈	120	4+	(C3xQ8):3D5	240,182
(C₃×Q₈)⋊₄D₅ = C₃×Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):4D5	240,46
(C₃×Q₈)⋊₅D₅ = C₃×Q₈⋊₂D₅	φ: trivial image	120	4	(C3xQ8):5D5	240,162

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁D₅ = C₁₅⋊₇Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₈	240	4-	(C3xQ8).1D5	240,79
(C₃×Q₈).₂D₅ = C₃×C₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₃×Q₈	240	4	(C3xQ8).2D5	240,47

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