Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₆

Direct product G=N×Q with N=C₄○D₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₄○D₄		48		C6xC4oD4	96,223

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊C₆ = D₄.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₄○D₄	16	4-	C4oD4:C6	96,202
C₄○D₄⋊₂C₆ = C₂×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₄○D₄	32		C4oD4:2C6	96,200
C₄○D₄⋊₃C₆ = C₃×C₄○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₄	48	2	C4oD4:3C6	96,182
C₄○D₄⋊₄C₆ = C₃×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₄	24	4	C4oD4:4C6	96,183
C₄○D₄⋊₅C₆ = C₃×2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₄	24	4	C4oD4:5C6	96,224
C₄○D₄⋊₆C₆ = C₃×2_-¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4:6C6	96,225

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.C₆ = Q₈.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₄○D₄	24	4+	C4oD4.C6	96,201
C₄○D₄.₂C₆ = C₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₄○D₄	32	2	C4oD4.2C6	96,74
C₄○D₄.₃C₆ = C₃×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₄	24	2	C4oD4.3C6	96,54
C₄○D₄.₄C₆ = C₃×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4.4C6	96,184
C₄○D₄.₅C₆ = C₃×C₈○D₄	φ: trivial image	48	2	C4oD4.5C6	96,178

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁