Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=C₆

Direct product G=NxQ with N=C₄oD₄ and Q=C₆

		d	ρ	Label	ID
C₆xC₄oD₄		48		C6xC4oD4	96,223

Semidirect products G=N:Q with N=C₄oD₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:C₆ = D₄.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₄oD₄	16	4-	C4oD4:C6	96,202
C₄oD₄:₂C₆ = C₂xC₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₄oD₄	32		C4oD4:2C6	96,200
C₄oD₄:₃C₆ = C₃xC₄oD₈	φ: C₆/C₃ → C₂ ⊆ Out C₄oD₄	48	2	C4oD4:3C6	96,182
C₄oD₄:₄C₆ = C₃xC₈:C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄oD₄	24	4	C4oD4:4C6	96,183
C₄oD₄:₅C₆ = C₃x2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄oD₄	24	4	C4oD4:5C6	96,224
C₄oD₄:₆C₆ = C₃x2_-¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₄oD₄	48	4	C4oD4:6C6	96,225

Non-split extensions G=N.Q with N=C₄oD₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.C₆ = Q₈.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₄oD₄	24	4+	C4oD4.C6	96,201
C₄oD₄.₂C₆ = C₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₄oD₄	32	2	C4oD4.2C6	96,74
C₄oD₄.₃C₆ = C₃xC₄wrC₂	φ: C₆/C₃ → C₂ ⊆ Out C₄oD₄	24	2	C4oD4.3C6	96,54
C₄oD₄.₄C₆ = C₃xC₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₄oD₄	48	4	C4oD4.4C6	96,184
C₄oD₄.₅C₆ = C₃xC₈oD₄	φ: trivial image	48	2	C4oD4.5C6	96,178

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