Extensions 1→N→G→Q→1 with N=C₄.₁₀D₄ and Q=C₆

Direct product G=N×Q with N=C₄.₁₀D₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₄.₁₀D₄		96		C6xC4.10D4	192,845

Semidirect products G=N:Q with N=C₄.₁₀D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄⋊₁C₆ = C₃×D₄.₈D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	4	C4.10D4:1C6	192,887
C₄.₁₀D₄⋊₂C₆ = C₃×D₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	4	C4.10D4:2C6	192,889
C₄.₁₀D₄⋊₃C₆ = C₃×D₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	4	C4.10D4:3C6	192,904
C₄.₁₀D₄⋊₄C₆ = C₃×D₄.₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.₁₀D₄	96	4	C4.10D4:4C6	192,906
C₄.₁₀D₄⋊₅C₆ = C₃×C₄².C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	4	C4.10D4:5C6	192,161
C₄.₁₀D₄⋊₆C₆ = C₃×M₄(2).₈C₂²	φ: trivial image	48	4	C4.10D4:6C6	192,846

Non-split extensions G=N.Q with N=C₄.₁₀D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄.C₆ = C₃×C₄².₃C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	4	C4.10D4.C6	192,162

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