Stabilizer type W'2
Acting group: D12 × Aff1(Z12)
There are exactly 36 groups in this conjugacy class.
The group order is 2.
(T0,S0),
(TI,R).
(T0,S0),
(TI,S2R).
(T0,S0),
(TI,S4R).
(T0,S0),
(TI,S6R).
(T0,S0),
(TI,S8R).
(T0,S0),
(TI,S10R).
(T0,S0),
(T3I,R).
(T0,S0),
(T3I,S2R).
(T0,S0),
(T3I,S4R).
(T0,S0),
(T3I,S6R).
(T0,S0),
(T3I,S8R).
(T0,S0),
(T3I,S10R).
(T0,S0),
(T5I,R).
(T0,S0),
(T5I,S2R).
(T0,S0),
(T5I,S4R).
(T0,S0),
(T5I,S6R).
(T0,S0),
(T5I,S8R).
(T0,S0),
(T5I,S10R).
(T0,S0),
(T7I,R).
(T0,S0),
(T7I,S2R).
(T0,S0),
(T7I,S4R).
(T0,S0),
(T7I,S6R).
(T0,S0),
(T7I,S8R).
(T0,S0),
(T7I,S10R).
(T0,S0),
(T9I,R).
(T0,S0),
(T9I,S2R).
(T0,S0),
(T9I,S4R).
(T0,S0),
(T9I,S6R).
(T0,S0),
(T9I,S8R).
(T0,S0),
(T9I,S10R).
(T0,S0),
(T11I,R).
(T0,S0),
(T11I,S2R).
(T0,S0),
(T11I,S4R).
(T0,S0),
(T11I,S6R).
(T0,S0),
(T11I,S8R).
(T0,S0),
(T11I,S10R).
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