Stabilizer type Y36


Acting group: 𝔄12
There are exactly 24 groups in this conjugacy class.
The group order is 4.
(T0,S0),
(TI,S4RF),
(T10Q,S6),
(T3IQ,S10RF).
(T0,S0),
(TI,S10RF),
(T10Q,S6),
(T3IQ,S4RF).
(T0,S0),
(T3I,S4RF),
(T6Q,S6),
(T9IQ,S10RF).
(T0,S0),
(T3I,S10RF),
(T6Q,S6),
(T9IQ,S4RF).
(T0,S0),
(T5I,S4RF),
(T2Q,S6),
(T3IQ,S10RF).
(T0,S0),
(T5I,S10RF),
(T2Q,S6),
(T3IQ,S4RF).
(T0,S0),
(T6,S2F),
(T3IQ,R),
(T9IQ,S10RF).
(T0,S0),
(T6,S2F),
(T3IQ,S4RF),
(T9IQ,S6R).
(T0,S0),
(T6,S2F),
(T3IQ,S6R),
(T9IQ,S4RF).
(T0,S0),
(T6,S2F),
(T3IQ,S10RF),
(T9IQ,R).
(T0,S0),
(T6,S6F),
(T3IQ,S4R),
(T9IQ,S10RF).
(T0,S0),
(T6,S6F),
(T3IQ,S4RF),
(T9IQ,S10R).
(T0,S0),
(T6,S6F),
(T3IQ,S10R),
(T9IQ,S4RF).
(T0,S0),
(T6,S6F),
(T3IQ,S10RF),
(T9IQ,S4R).
(T0,S0),
(T6,S10F),
(T3IQ,S2R),
(T9IQ,S4RF).
(T0,S0),
(T6,S10F),
(T3IQ,S4RF),
(T9IQ,S2R).
(T0,S0),
(T6,S10F),
(T3IQ,S8R),
(T9IQ,S10RF).
(T0,S0),
(T6,S10F),
(T3IQ,S10RF),
(T9IQ,S8R).
(T0,S0),
(T7I,S4RF),
(T10Q,S6),
(T9IQ,S10RF).
(T0,S0),
(T7I,S10RF),
(T10Q,S6),
(T9IQ,S4RF).
(T0,S0),
(T9I,S4RF),
(T6Q,S6),
(T3IQ,S10RF).
(T0,S0),
(T9I,S10RF),
(T6Q,S6),
(T3IQ,S4RF).
(T0,S0),
(T11I,S4RF),
(T2Q,S6),
(T9IQ,S10RF).
(T0,S0),
(T11I,S10RF),
(T2Q,S6),
(T9IQ,S4RF).

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