Stabilizer type X51


Acting group: Aff1(Z12) × Aff1(Z12)
There are exactly 9 groups in this conjugacy class.
The group order is 4.
(T0,S0),
(T6,S2F),
(Q,S8F),
(T6Q,S6).
(T0,S0),
(T6,S2F),
(T2Q,S6),
(T8Q,S8F).
(T0,S0),
(T6,S2F),
(T4Q,S8F),
(T10Q,S6).
(T0,S0),
(T6,S6F),
(Q,F),
(T6Q,S6).
(T0,S0),
(T6,S6F),
(T2Q,S6),
(T8Q,F).
(T0,S0),
(T6,S6F),
(T4Q,F),
(T10Q,S6).
(T0,S0),
(T6,S10F),
(Q,S4F),
(T6Q,S6).
(T0,S0),
(T6,S10F),
(T2Q,S6),
(T8Q,S4F).
(T0,S0),
(T6,S10F),
(T4Q,S4F),
(T10Q,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) .


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