Extensions 1→N→G→Q→1 with N=C₈⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₈⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊S₃		48		C2xC8:S3	96,107

Semidirect products G=N:Q with N=C₈⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊S₃⋊₁C₂ = Q₈⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊S₃	24	4+	C8:S3:1C2	96,121
C₈⋊S₃⋊₂C₂ = D₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊S₃	48	4-	C8:S3:2C2	96,122
C₈⋊S₃⋊₃C₂ = D₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊S₃	24	4	C8:S3:3C2	96,118
C₈⋊S₃⋊₄C₂ = Q₁₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊S₃	48	4	C8:S3:4C2	96,125
C₈⋊S₃⋊₅C₂ = S₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊S₃	24	4	C8:S3:5C2	96,113
C₈⋊S₃⋊₆C₂ = D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊S₃	48	4	C8:S3:6C2	96,114
C₈⋊S₃⋊₇C₂ = C₈○D₁₂	φ: trivial image	48	2	C8:S3:7C2	96,108

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁