Stabilizer type W3
Acting group: Aff1(Z12) × D12
There are exactly 36 groups in this conjugacy class.
The group order is 2.
(T0,S0),
(I,SR).
(T0,S0),
(I,S3R).
(T0,S0),
(I,S5R).
(T0,S0),
(I,S7R).
(T0,S0),
(I,S9R).
(T0,S0),
(I,S11R).
(T0,S0),
(T2I,SR).
(T0,S0),
(T2I,S3R).
(T0,S0),
(T2I,S5R).
(T0,S0),
(T2I,S7R).
(T0,S0),
(T2I,S9R).
(T0,S0),
(T2I,S11R).
(T0,S0),
(T4I,SR).
(T0,S0),
(T4I,S3R).
(T0,S0),
(T4I,S5R).
(T0,S0),
(T4I,S7R).
(T0,S0),
(T4I,S9R).
(T0,S0),
(T4I,S11R).
(T0,S0),
(T6I,SR).
(T0,S0),
(T6I,S3R).
(T0,S0),
(T6I,S5R).
(T0,S0),
(T6I,S7R).
(T0,S0),
(T6I,S9R).
(T0,S0),
(T6I,S11R).
(T0,S0),
(T8I,SR).
(T0,S0),
(T8I,S3R).
(T0,S0),
(T8I,S5R).
(T0,S0),
(T8I,S7R).
(T0,S0),
(T8I,S9R).
(T0,S0),
(T8I,S11R).
(T0,S0),
(T10I,SR).
(T0,S0),
(T10I,S3R).
(T0,S0),
(T10I,S5R).
(T0,S0),
(T10I,S7R).
(T0,S0),
(T10I,S9R).
(T0,S0),
(T10I,S11R).
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