Extensions 1→N→G→Q→1 with N=C₃xQ₈ and Q=D₅

Direct product G=NxQ with N=C₃xQ₈ and Q=D₅

		d	ρ	Label	ID
C₃xQ₈xD₅		120	4	C3xQ8xD5	240,161

Semidirect products G=N:Q with N=C₃xQ₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈):₁D₅ = Q₈:₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃xQ₈	120	4+	(C3xQ8):1D5	240,78
(C₃xQ₈):₂D₅ = Q₈xD₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃xQ₈	120	4-	(C3xQ8):2D5	240,181
(C₃xQ₈):₃D₅ = Q₈:₃D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃xQ₈	120	4+	(C3xQ8):3D5	240,182
(C₃xQ₈):₄D₅ = C₃xQ₈:D₅	φ: D₅/C₅ → C₂ ⊆ Out C₃xQ₈	120	4	(C3xQ8):4D5	240,46
(C₃xQ₈):₅D₅ = C₃xQ₈:₂D₅	φ: trivial image	120	4	(C3xQ8):5D5	240,162

Non-split extensions G=N.Q with N=C₃xQ₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈).₁D₅ = C₁₅:₇Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₃xQ₈	240	4-	(C3xQ8).1D5	240,79
(C₃xQ₈).₂D₅ = C₃xC₅:Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₃xQ₈	240	4	(C3xQ8).2D5	240,47

׿

x

:

Z

F

o

wr

Q

<