Extensions 1→N→G→Q→1 with N=C₈.₆D₆ and Q=C₂

Direct product G=N×Q with N=C₈.₆D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₈.₆D₆		96		C2xC8.6D6	192,737

Semidirect products G=N:Q with N=C₈.₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.₆D₆⋊₁C₂ = S₃×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.₆D₆	48	4	C8.6D6:1C2	192,472
C₈.₆D₆⋊₂C₂ = D₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.₆D₆	48	4+	C8.6D6:2C2	192,473
C₈.₆D₆⋊₃C₂ = Q₃₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₈.₆D₆	96	4	C8.6D6:3C2	192,477
C₈.₆D₆⋊₄C₂ = D₄₈⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.₆D₆	96	4+	C8.6D6:4C2	192,478
C₈.₆D₆⋊₅C₂ = C₂₄.₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈.₆D₆	96	4	C8.6D6:5C2	192,738
C₈.₆D₆⋊₆C₂ = Q₁₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.₆D₆	48	4+	C8.6D6:6C2	192,752
C₈.₆D₆⋊₇C₂ = Q₁₆.D₆	φ: trivial image	96	4	C8.6D6:7C2	192,753

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁