Extensions 1→N→G→Q→1 with N=C₂×C₃²⋊A₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₃²⋊A₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃²⋊A₄		36		C2^2xC3^2:A4	432,550

Semidirect products G=N:Q with N=C₂×C₃²⋊A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊A₄)⋊₁C₂ = C₂×C₆²⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊A₄	18	6+	(C2xC3^2:A4):1C2	432,535
(C₂×C₃²⋊A₄)⋊₂C₂ = C₂×C₃²⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊A₄	18	3	(C2xC3^2:A4):2C2	432,538
(C₂×C₃²⋊A₄)⋊₃C₂ = C₂×C₆²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊A₄	18	6+	(C2xC3^2:A4):3C2	432,542

Non-split extensions G=N.Q with N=C₂×C₃²⋊A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊A₄).₁C₂ = C₆²⋊₅Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊A₄	36	6-	(C2xC3^2:A4).1C2	432,251
(C₂×C₃²⋊A₄).₂C₂ = C₆²⋊₆Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊A₄	36	3	(C2xC3^2:A4).2C2	432,260
(C₂×C₃²⋊A₄).₃C₂ = C₆²⋊₄C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊A₄	36	6-	(C2xC3^2:A4).3C2	432,272
(C₂×C₃²⋊A₄).₄C₂ = C₄×C₃²⋊A₄	φ: trivial image	36	3	(C2xC3^2:A4).4C2	432,333

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁