Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₂D₅

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₂D₅

		d	ρ	Label	ID
C₃×Q₈⋊₂D₅		120	4	C3xQ8:2D5	240,162

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₂D₅) = C₁₂.₂₈D₁₀	φ: Q₈⋊₂D₅/C₄×D₅ → C₂ ⊆ Aut C₃	120	4+	C3:1(Q8:2D5)	240,134
C₃⋊₂(Q₈⋊₂D₅) = D₂₀⋊S₃	φ: Q₈⋊₂D₅/D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:2(Q8:2D5)	240,127
C₃⋊₃(Q₈⋊₂D₅) = Q₈⋊₃D₁₅	φ: Q₈⋊₂D₅/C₅×Q₈ → C₂ ⊆ Aut C₃	120	4+	C3:3(Q8:2D5)	240,182

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁