Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃⋊D₄		24		C2xC3:D4	48,43

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁C₂ = S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₄	12	4+	C3:D4:1C2	48,38
C₃⋊D₄⋊₂C₂ = D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₄	24	4-	C3:D4:2C2	48,39
C₃⋊D₄⋊₃C₂ = C₄○D₁₂	φ: trivial image	24	2	C3:D4:3C2	48,37

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁