Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.C₂³

Direct product G=N×Q with N=C₃ and Q=C₂³.C₂³

		d	ρ	Label	ID
C₃×C₂³.C₂³		48	4	C3xC2^3.C2^3	192,843

Semidirect products G=N:Q with N=C₃ and Q=C₂³.C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.C₂³) = C₂³⋊C₄⋊₅S₃	φ: C₂³.C₂³/C₂³⋊C₄ → C₂ ⊆ Aut C₃	48	8-	C3:1(C2^3.C2^3)	192,299
C₃⋊₂(C₂³.C₂³) = (C₂×D₁₂)⋊₁₃C₄	φ: C₂³.C₂³/C₄²⋊C₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C2^3.C2^3)	192,565
C₃⋊₃(C₂³.C₂³) = (C₆×D₄)⋊₁₀C₄	φ: C₂³.C₂³/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:3(C2^3.C2^3)	192,799

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁