Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=C₆

Direct product G=N×Q with N=C₈○D₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₈○D₄		96		C6xC8oD4	192,1456

Semidirect products G=N:Q with N=C₈○D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁C₆ = SD₁₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₈○D₄	32	4	C8oD4:1C6	192,1018
C₈○D₄⋊₂C₆ = D₈.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₈○D₄	32	4-	C8oD4:2C6	192,1019
C₈○D₄⋊₃C₆ = M₄(2).A₄	φ: C₆/C₁ → C₆ ⊆ Out C₈○D₄	32	4	C8oD4:3C6	192,1013
C₈○D₄⋊₄C₆ = C₂×C₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₈○D₄	64		C8oD4:4C6	192,1012
C₈○D₄⋊₅C₆ = C₃×D₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	4	C8oD4:5C6	192,904
C₈○D₄⋊₆C₆ = C₃×D₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	4	C8oD4:6C6	192,905
C₈○D₄⋊₇C₆ = C₃×D₄○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	4	C8oD4:7C6	192,1465
C₈○D₄⋊₈C₆ = C₃×D₄○SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	4	C8oD4:8C6	192,1466
C₈○D₄⋊₉C₆ = C₃×Q₈○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	96	4	C8oD4:9C6	192,1467
C₈○D₄⋊₁₀C₆ = C₃×C₈○D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	2	C8oD4:10C6	192,876
C₈○D₄⋊₁₁C₆ = C₃×C₈.₂₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	4	C8oD4:11C6	192,877
C₈○D₄⋊₁₂C₆ = C₃×Q₈○M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	48	4	C8oD4:12C6	192,1457

Non-split extensions G=N.Q with N=C₈○D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.C₆ = Q₁₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₈○D₄	48	4+	C8oD4.C6	192,1017
C₈○D₄.₂C₆ = C₁₆.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₈○D₄	64	2	C8oD4.2C6	192,204
C₈○D₄.₃C₆ = C₃×D₄.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	96	4	C8oD4.3C6	192,906
C₈○D₄.₄C₆ = C₃×D₄.C₈	φ: C₆/C₃ → C₂ ⊆ Out C₈○D₄	96	2	C8oD4.4C6	192,156
C₈○D₄.₅C₆ = C₃×D₄○C₁₆	φ: trivial image	96	2	C8oD4.5C6	192,937

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