C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×2₊⁽¹⁺⁴⁾

Direct product G=N×Q with N=C₃ and Q=C₂×2₊⁽¹⁺⁴⁾

		d	ρ	Label	ID
C₆×2₊⁽¹⁺⁴⁾		48		C6xES+(2,2)	192,1534

Semidirect products G=N:Q with N=C₃ and Q=C₂×2₊⁽¹⁺⁴⁾

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×2₊⁽¹⁺⁴⁾) = C₂×D₄⋊₆D₆	φ: C₂×2₊⁽¹⁺⁴⁾/C₂²×D₄ → C₂ ⊆ Aut C₃	48		C3:1(C2xES+(2,2))	192,1516
C₃⋊₂(C₂×2₊⁽¹⁺⁴⁾) = C₂×D₄○D₁₂	φ: C₂×2₊⁽¹⁺⁴⁾/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	48		C3:2(C2xES+(2,2))	192,1521
C₃⋊₃(C₂×2₊⁽¹⁺⁴⁾) = S₃×2₊⁽¹⁺⁴⁾	φ: C₂×2₊⁽¹⁺⁴⁾/2₊⁽¹⁺⁴⁾ → C₂ ⊆ Aut C₃	24	8+	C3:3(C2xES+(2,2))	192,1524

׿

×

⋊

ℤ

𝔽

○

≀