Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₈D₁₀

Direct product G=N×Q with N=C₃ and Q=D₄⋊₈D₁₀

		d	ρ	Label	ID
C₃×D₄⋊₈D₁₀		120	4	C3xD4:8D10	480,1146

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₈D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₈D₁₀) = D₂₀⋊₂₅D₆	φ: D₄⋊₈D₁₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:1(D4:8D10)	480,1093
C₃⋊₂(D₄⋊₈D₁₀) = D₂₀⋊₂₉D₆	φ: D₄⋊₈D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4+	C3:2(D4:8D10)	480,1095
C₃⋊₃(D₄⋊₈D₁₀) = D₂₀⋊₁₄D₆	φ: D₄⋊₈D₁₀/D₄×D₅ → C₂ ⊆ Aut C₃	120	8+	C3:3(D4:8D10)	480,1102
C₃⋊₄(D₄⋊₈D₁₀) = D₂₀⋊₁₇D₆	φ: D₄⋊₈D₁₀/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	120	8+	C3:4(D4:8D10)	480,1111
C₃⋊₅(D₄⋊₈D₁₀) = D₄⋊₈D₃₀	φ: D₄⋊₈D₁₀/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	120	4+	C3:5(D4:8D10)	480,1176

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁