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

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

		d	ρ	Label	ID
C₆×C₄.D₄		48		C6xC4.D4	192,844

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊₁C₆ = C₃×D₄⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.D₄	24	4	C4.D4:1C6	192,886
C₄.D₄⋊₂C₆ = C₃×D₄.₉D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.D₄	48	4	C4.D4:2C6	192,888
C₄.D₄⋊₃C₆ = C₃×D₄.₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.D₄	48	4	C4.D4:3C6	192,904
C₄.D₄⋊₄C₆ = C₃×D₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.D₄	48	4	C4.D4:4C6	192,905
C₄.D₄⋊₅C₆ = C₃×C₂≀C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.D₄	24	4	C4.D4:5C6	192,157
C₄.D₄⋊₆C₆ = C₃×M₄(2).₈C₂²	φ: trivial image	48	4	C4.D4:6C6	192,846

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.C₆ = C₃×C₂³.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.D₄	48	4	C4.D4.C6	192,158

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