Extensions 1→N→G→Q→1 with N=C₂×C₃≀C₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₃≀C₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃≀C₃		36		C2^2xC3wrC3	324,86

Semidirect products G=N:Q with N=C₂×C₃≀C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃≀C₃)⋊₁C₂ = C₂×C₃³⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃≀C₃	18	6+	(C2xC3wrC3):1C2	324,77
(C₂×C₃≀C₃)⋊₂C₂ = C₂×C₃≀S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃≀C₃	18	3	(C2xC3wrC3):2C2	324,68
(C₂×C₃≀C₃)⋊₃C₂ = C₂×C₃³⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃≀C₃	18	6+	(C2xC3wrC3):3C2	324,69

Non-split extensions G=N.Q with N=C₂×C₃≀C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃≀C₃).₁C₂ = C₃³⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃≀C₃	36	6-	(C2xC3wrC3).1C2	324,22
(C₂×C₃≀C₃).₂C₂ = He₃⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃≀C₃	36	3	(C2xC3wrC3).2C2	324,13
(C₂×C₃≀C₃).₃C₂ = C₃³⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃≀C₃	36	6-	(C2xC3wrC3).3C2	324,14
(C₂×C₃≀C₃).₄C₂ = C₄×C₃≀C₃	φ: trivial image	36	3	(C2xC3wrC3).4C2	324,31

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁