Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₆

Direct product G=NxQ with N=Dic₆ and Q=C₆

		d	ρ	Label	ID
C₆xDic₆		48		C6xDic6	144,158

Semidirect products G=N:Q with N=Dic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆:₁C₆ = C₃xC₂₄:C₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₆	48	2	Dic6:1C6	144,71
Dic₆:₂C₆ = C₃xD₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₆	24	4	Dic6:2C6	144,81
Dic₆:₃C₆ = C₃xD₄:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out Dic₆	24	4	Dic6:3C6	144,163
Dic₆:₄C₆ = C₃xS₃xQ₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₆	48	4	Dic6:4C6	144,164
Dic₆:₅C₆ = C₃xC₄oD₁₂	φ: trivial image	24	2	Dic6:5C6	144,161

Non-split extensions G=N.Q with N=Dic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₆ = C₃xDic₁₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₆	48	2	Dic6.1C6	144,73
Dic₆.₂C₆ = C₃xC₃:Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₆	48	4	Dic6.2C6	144,83

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