Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₆

Direct product G=NxQ with N=D₁₂ and Q=C₆

		d	ρ	Label	ID
C₆xD₁₂		48		C6xD12	144,160

Semidirect products G=N:Q with N=D₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂:₁C₆ = C₃xD₂₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	2	D12:1C6	144,72
D₁₂:₂C₆ = C₃xD₄:S₃	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	24	4	D12:2C6	144,80
D₁₂:₃C₆ = C₃xS₃xD₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	24	4	D12:3C6	144,162
D₁₂:₄C₆ = C₃xQ₈:₃S₃	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	4	D12:4C6	144,165
D₁₂:₅C₆ = C₃xC₄oD₁₂	φ: trivial image	24	2	D12:5C6	144,161

Non-split extensions G=N.Q with N=D₁₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁C₆ = C₃xC₂₄:C₂	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	2	D12.1C6	144,71
D₁₂.₂C₆ = C₃xQ₈:₂S₃	φ: C₆/C₃ → C₂ ⊆ Out D₁₂	48	4	D12.2C6	144,82

׿

x

:

Z

F

o

wr

Q

<