Stabilizer type Y14
Acting group: 𝔄12
There are exactly 9 groups in this conjugacy class.
The group order is 2.
(T0,S0),
(Q,F).
(T0,S0),
(Q,S4F).
(T0,S0),
(Q,S8F).
(T0,S0),
(T4Q,F).
(T0,S0),
(T4Q,S4F).
(T0,S0),
(T4Q,S8F).
(T0,S0),
(T8Q,F).
(T0,S0),
(T8Q,S4F).
(T0,S0),
(T8Q,S8F).
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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