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

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

		d	ρ	Label	ID
C₃×D₄²		48		C3xD4^2	192,1434

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₃×D₄) = C₃×C₄⋊D₈	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out D₄	96		D4:1(C3xD4)	192,892
D₄⋊₂(C₃×D₄) = C₃×C₂²⋊D₈	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	48		D4:2(C3xD4)	192,880
D₄⋊₃(C₃×D₄) = C₃×D₄⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	96		D4:3(C3xD4)	192,882
D₄⋊₄(C₃×D₄) = C₃×D₄⋊₄D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	24	4	D4:4(C3xD4)	192,886
D₄⋊₅(C₃×D₄) = C₃×D₄⋊₅D₄	φ: trivial image	48		D4:5(C3xD4)	192,1435
D₄⋊₆(C₃×D₄) = C₃×D₄⋊₆D₄	φ: trivial image	96		D4:6(C3xD4)	192,1436

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₃×D₄) = C₃×D₄.D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out D₄	96		D4.1(C3xD4)	192,894
D₄.₂(C₃×D₄) = C₃×D₄.₂D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out D₄	96		D4.2(C3xD4)	192,896
D₄.₃(C₃×D₄) = C₃×D₄.₃D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out D₄	48	4	D4.3(C3xD4)	192,904
D₄.₄(C₃×D₄) = C₃×D₄.₄D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out D₄	48	4	D4.4(C3xD4)	192,905
D₄.₅(C₃×D₄) = C₃×D₄.₅D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Out D₄	96	4	D4.5(C3xD4)	192,906
D₄.₆(C₃×D₄) = C₃×C₂²⋊SD₁₆	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	48		D4.6(C3xD4)	192,883
D₄.₇(C₃×D₄) = C₃×D₄.₇D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	96		D4.7(C3xD4)	192,885
D₄.₈(C₃×D₄) = C₃×D₄.₈D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	48	4	D4.8(C3xD4)	192,887
D₄.₉(C₃×D₄) = C₃×D₄.₉D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	48	4	D4.9(C3xD4)	192,888
D₄.₁₀(C₃×D₄) = C₃×D₄.₁₀D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Out D₄	48	4	D4.10(C3xD4)	192,889
D₄.₁₁(C₃×D₄) = C₃×D₄○D₈	φ: trivial image	48	4	D4.11(C3xD4)	192,1465
D₄.₁₂(C₃×D₄) = C₃×D₄○SD₁₆	φ: trivial image	48	4	D4.12(C3xD4)	192,1466
D₄.₁₃(C₃×D₄) = C₃×Q₈○D₈	φ: trivial image	96	4	D4.13(C3xD4)	192,1467

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