Extensions 1→N→G→Q→1 with N=C₃²⋊C₄ and Q=C₆

Direct product G=N×Q with N=C₃²⋊C₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₃²⋊C₄		24	4	C6xC3^2:C4	216,168

Semidirect products G=N:Q with N=C₃²⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄⋊C₆ = C₃×S₃≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊C₄	12	4	C3^2:C4:C6	216,157

Non-split extensions G=N.Q with N=C₃²⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄.₁C₆ = C₃×F₉	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊C₄	24	8	C3^2:C4.1C6	216,154
C₃²⋊C₄.₂C₆ = C₃×PSU₃(𝔽₂)	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊C₄	24	8	C3^2:C4.2C6	216,160

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C32⋊C4 and Q=C6