Extensions 1→N→G→Q→1 with N=S₃×C₂³ and Q=C₂

Direct product G=N×Q with N=S₃×C₂³ and Q=C₂

		d	ρ	Label	ID
S₃×C₂⁴		48		S3xC2^4	96,230

Semidirect products G=N:Q with N=S₃×C₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³)⋊₁C₂ = D₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	24		(S3xC2^3):1C2	96,89
(S₃×C₂³)⋊₂C₂ = C₂³⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	24		(S3xC2^3):2C2	96,144
(S₃×C₂³)⋊₃C₂ = C₂²×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):3C2	96,207
(S₃×C₂³)⋊₄C₂ = C₂×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	24		(S3xC2^3):4C2	96,209
(S₃×C₂³)⋊₅C₂ = C₂²×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3):5C2	96,219

Non-split extensions G=N.Q with N=S₃×C₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³).₁C₂ = S₃×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	24		(S3xC2^3).1C2	96,87
(S₃×C₂³).₂C₂ = C₂×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂³	48		(S3xC2^3).2C2	96,134
(S₃×C₂³).₃C₂ = S₃×C₂²×C₄	φ: trivial image	48		(S3xC2^3).3C2	96,206

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁