Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×Q₈

Direct product G=N×Q with N=D₄ and Q=C₃×Q₈

		d	ρ	Label	ID
C₃×D₄×Q₈		96		C3xD4xQ8	192,1438

Semidirect products G=N:Q with N=D₄ and Q=C₃×Q₈

extension	φ:Q→Out N	d	Label	ID
D₄⋊₁(C₃×Q₈) = C₃×D₄⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₄	96	D4:1(C3xQ8)	192,907
D₄⋊₂(C₃×Q₈) = C₃×D₄⋊₂Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₄	96	D4:2(C3xQ8)	192,909
D₄⋊₃(C₃×Q₈) = C₃×D₄⋊₃Q₈	φ: trivial image	96	D4:3(C3xQ8)	192,1443

Non-split extensions G=N.Q with N=D₄ and Q=C₃×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×Q₈) = C₃×D₄.Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₄	96		D4.(C3xQ8)	192,911

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×Q8