Stabilizer type X10
Acting group: Aff1(Z12) × Aff1(Z12)
There are exactly 18 groups in this conjugacy class.
The group order is 2.
(T0,S0),
(T2Q,R).
(T0,S0),
(T2Q,S2R).
(T0,S0),
(T2Q,S4R).
(T0,S0),
(T2Q,S6R).
(T0,S0),
(T2Q,S8R).
(T0,S0),
(T2Q,S10R).
(T0,S0),
(T6Q,R).
(T0,S0),
(T6Q,S2R).
(T0,S0),
(T6Q,S4R).
(T0,S0),
(T6Q,S6R).
(T0,S0),
(T6Q,S8R).
(T0,S0),
(T6Q,S10R).
(T0,S0),
(T10Q,R).
(T0,S0),
(T10Q,S2R).
(T0,S0),
(T10Q,S4R).
(T0,S0),
(T10Q,S6R).
(T0,S0),
(T10Q,S8R).
(T0,S0),
(T10Q,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
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