Extensions 1→N→G→Q→1 with N=D₄⋊₂S₃ and Q=C₄

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=C₄

		d	ρ	Label	ID
C₄×D₄⋊₂S₃		96		C4xD4:2S3	192,1095

Semidirect products G=N:Q with N=D₄⋊₂S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃⋊₁C₄ = D₄⋊(C₄×S₃)	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂S₃	96		D4:2S3:1C4	192,330
D₄⋊₂S₃⋊₂C₄ = D₄⋊₂S₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂S₃	96		D4:2S3:2C4	192,331
D₄⋊₂S₃⋊₃C₄ = S₃×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂S₃	24	4	D4:2S3:3C4	192,379
D₄⋊₂S₃⋊₄C₄ = C₄²⋊₃D₆	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:4C4	192,380
D₄⋊₂S₃⋊₅C₄ = C₄².₁₀₈D₆	φ: C₄/C₂ → C₂ ⊆ Out D₄⋊₂S₃	96		D4:2S3:5C4	192,1105

Non-split extensions G=N.Q with N=D₄⋊₂S₃ and Q=C₄

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

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