Stabilizer type Z5
Acting group: 𝔇12
There are exactly 12 groups in this conjugacy class.
The group order is 2.
(T0,S0),
(TI,S6).
(T0,S0),
(T3I,S6).
(T0,S0),
(T5I,S6).
(T0,S0),
(T6,R).
(T0,S0),
(T6,S2R).
(T0,S0),
(T6,S4R).
(T0,S0),
(T6,S6R).
(T0,S0),
(T6,S8R).
(T0,S0),
(T6,S10R).
(T0,S0),
(T7I,S6).
(T0,S0),
(T9I,S6).
(T0,S0),
(T11I,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)
.
Goto Database on tone rows and tropes
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