Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊₂D₅

Direct product G=N×Q with N=C₃ and Q=C₄²⋊₂D₅

		d	ρ	Label	ID
C₃×C₄²⋊₂D₅		240		C3xC4^2:2D5	480,669

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄²⋊₂D₅) = C₁₀.D₄⋊S₃	φ: C₄²⋊₂D₅/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(C4^2:2D5)	480,456
C₃⋊₂(C₄²⋊₂D₅) = (C₄×Dic₃)⋊D₅	φ: C₄²⋊₂D₅/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C4^2:2D5)	480,439
C₃⋊₃(C₄²⋊₂D₅) = C₄²⋊₃D₁₅	φ: C₄²⋊₂D₅/C₄×C₂₀ → C₂ ⊆ Aut C₃	240		C3:3(C4^2:2D5)	480,841

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁