Extensions 1→N→G→Q→1 with N=S₃×D₄ and Q=C₄

Direct product G=N×Q with N=S₃×D₄ and Q=C₄

		d	ρ	Label	ID
C₄×S₃×D₄		48		C4xS3xD4	192,1103

Semidirect products G=N:Q with N=S₃×D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄)⋊₁C₄ = S₃×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×D₄	48		(S3xD4):1C4	192,328
(S₃×D₄)⋊₂C₄ = C₄⋊C₄⋊₁₉D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×D₄	48		(S3xD4):2C4	192,329
(S₃×D₄)⋊₃C₄ = S₃×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out S₃×D₄	24	4	(S3xD4):3C4	192,379
(S₃×D₄)⋊₄C₄ = C₄²⋊₃D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4):4C4	192,380
(S₃×D₄)⋊₅C₄ = C₄²⋊₁₃D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×D₄	48		(S3xD4):5C4	192,1104

Non-split extensions G=N.Q with N=S₃×D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄).C₄ = M₄(2)⋊₂₈D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×D₄	48	4	(S3xD4).C4	192,1309
(S₃×D₄).₂C₄ = S₃×C₈○D₄	φ: trivial image	48	4	(S3xD4).2C4	192,1308

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