Extensions 1→N→G→Q→1 with N=S₃×C₂⁴ and Q=C₂

Direct product G=N×Q with N=S₃×C₂⁴ and Q=C₂

		d	ρ	Label	ID
S₃×C₂⁵		96		S3xC2^5	192,1542

Semidirect products G=N:Q with N=S₃×C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂⁴)⋊₁C₂ = C₂×D₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	48		(S3xC2^4):1C2	192,1046
(S₃×C₂⁴)⋊₂C₂ = S₃×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	24		(S3xC2^4):2C2	192,1147
(S₃×C₂⁴)⋊₃C₂ = C₂×C₂³⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	48		(S3xC2^4):3C2	192,1358
(S₃×C₂⁴)⋊₄C₂ = C₂³×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	96		(S3xC2^4):4C2	192,1512
(S₃×C₂⁴)⋊₅C₂ = C₂²×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	48		(S3xC2^4):5C2	192,1514
(S₃×C₂⁴)⋊₆C₂ = C₂³×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	96		(S3xC2^4):6C2	192,1529

Non-split extensions G=N.Q with N=S₃×C₂⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂⁴).₁C₂ = C₂⁴.₅₉D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	48		(S3xC2^4).1C2	192,514
(S₃×C₂⁴).₂C₂ = C₂×S₃×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	48		(S3xC2^4).2C2	192,1043
(S₃×C₂⁴).₃C₂ = C₂²×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂⁴	96		(S3xC2^4).3C2	192,1346
(S₃×C₂⁴).₄C₂ = S₃×C₂³×C₄	φ: trivial image	96		(S3xC2^4).4C2	192,1511

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