Stabilizer type W'4
Acting group: D12 × Aff1(Z12)
There are exactly 6 groups in this conjugacy class.
The group order is 2.
(T0,S0),
(TI,S6).
(T0,S0),
(T3I,S6).
(T0,S0),
(T5I,S6).
(T0,S0),
(T7I,S6).
(T0,S0),
(T9I,S6).
(T0,S0),
(T11I,S6).
Where
S=T=(1,2,3,4,5,6,7,8,9,10,11,12)
,
R=(6,7)(5,8)(4,9)(3,10)(2,11)(1,12)
,
I=(7)(6,8)(5,9)(4,10)(3,11)(2,12)(1)
,
F=Q=(10)(8,12)(7)(5,9)(4)(3,11)(2,6)(1)
.
Goto Database on tone rows and tropes
version 1.0