Extensions 1→N→G→Q→1 with N=C₃²⋊₂Q₈ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₂Q₈		48		C2xC3^2:2Q8	144,152

Semidirect products G=N:Q with N=C₃²⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈⋊₁C₂ = C₃²⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4-	C3^2:2Q8:1C2	144,118
C₃²⋊₂Q₈⋊₂C₂ = S₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4-	C3^2:2Q8:2C2	144,137
C₃²⋊₂Q₈⋊₃C₂ = Dic₃.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4	C3^2:2Q8:3C2	144,140
C₃²⋊₂Q₈⋊₄C₂ = D₆.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4	C3^2:2Q8:4C2	144,147
C₃²⋊₂Q₈⋊₅C₂ = D₆.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4-	C3^2:2Q8:5C2	144,148
C₃²⋊₂Q₈⋊₆C₂ = D₆.D₆	φ: trivial image	24	4	C3^2:2Q8:6C2	144,141

Non-split extensions G=N.Q with N=C₃²⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈.C₂ = C₃²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4-	C3^2:2Q8.C2	144,119

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁