Stabilizer type Z19
Acting group: 𝔇12
There are exactly 18 groups in this conjugacy class.
The group order is 8.
(T0,S0),
(T6,S6),
(I,SR),
(T6I,S7R),
(T0,S0) ∘ P,
(T6,S6) ∘ P,
(I,SR) ∘ P,
(T6I,S7R) ∘ P.
(T0,S0),
(T6,S6),
(I,S3R),
(T6I,S9R),
(T5,S7) ∘ P,
(T11,S) ∘ P,
(TI,S2R) ∘ P,
(T7I,S8R) ∘ P.
(T0,S0),
(T6,S6),
(I,S5R),
(T6I,S11R),
(T4,S8) ∘ P,
(T10,S2) ∘ P,
(T2I,S3R) ∘ P,
(T8I,S9R) ∘ P.
(T0,S0),
(T6,S6),
(I,S7R),
(T6I,SR),
(T3,S9) ∘ P,
(T9,S3) ∘ P,
(T3I,S4R) ∘ P,
(T9I,S10R) ∘ P.
(T0,S0),
(T6,S6),
(I,S9R),
(T6I,S3R),
(T2,S10) ∘ P,
(T8,S4) ∘ P,
(T4I,S5R) ∘ P,
(T10I,S11R) ∘ P.
(T0,S0),
(T6,S6),
(I,S11R),
(T6I,S5R),
(T,S11) ∘ P,
(T7,S5) ∘ P,
(T5I,S6R) ∘ P,
(T11I,R) ∘ P.
(T0,S0),
(T6,S6),
(T2I,SR),
(T8I,S7R),
(T,S11) ∘ P,
(T7,S5) ∘ P,
(TI,S2R) ∘ P,
(T7I,S8R) ∘ P.
(T0,S0),
(T6,S6),
(T2I,S3R),
(T8I,S9R),
(T0,S0) ∘ P,
(T6,S6) ∘ P,
(T2I,S3R) ∘ P,
(T8I,S9R) ∘ P.
(T0,S0),
(T6,S6),
(T2I,S5R),
(T8I,S11R),
(T5,S7) ∘ P,
(T11,S) ∘ P,
(T3I,S4R) ∘ P,
(T9I,S10R) ∘ P.
(T0,S0),
(T6,S6),
(T2I,S7R),
(T8I,SR),
(T4,S8) ∘ P,
(T10,S2) ∘ P,
(T4I,S5R) ∘ P,
(T10I,S11R) ∘ P.
(T0,S0),
(T6,S6),
(T2I,S9R),
(T8I,S3R),
(T3,S9) ∘ P,
(T9,S3) ∘ P,
(T5I,S6R) ∘ P,
(T11I,R) ∘ P.
(T0,S0),
(T6,S6),
(T2I,S11R),
(T8I,S5R),
(T2,S10) ∘ P,
(T8,S4) ∘ P,
(I,SR) ∘ P,
(T6I,S7R) ∘ P.
(T0,S0),
(T6,S6),
(T4I,SR),
(T10I,S7R),
(T2,S10) ∘ P,
(T8,S4) ∘ P,
(T2I,S3R) ∘ P,
(T8I,S9R) ∘ P.
(T0,S0),
(T6,S6),
(T4I,S3R),
(T10I,S9R),
(T,S11) ∘ P,
(T7,S5) ∘ P,
(T3I,S4R) ∘ P,
(T9I,S10R) ∘ P.
(T0,S0),
(T6,S6),
(T4I,S5R),
(T10I,S11R),
(T0,S0) ∘ P,
(T6,S6) ∘ P,
(T4I,S5R) ∘ P,
(T10I,S11R) ∘ P.
(T0,S0),
(T6,S6),
(T4I,S7R),
(T10I,SR),
(T5,S7) ∘ P,
(T11,S) ∘ P,
(T5I,S6R) ∘ P,
(T11I,R) ∘ P.
(T0,S0),
(T6,S6),
(T4I,S9R),
(T10I,S3R),
(T4,S8) ∘ P,
(T10,S2) ∘ P,
(I,SR) ∘ P,
(T6I,S7R) ∘ P.
(T0,S0),
(T6,S6),
(T4I,S11R),
(T10I,S5R),
(T3,S9) ∘ P,
(T9,S3) ∘ P,
(TI,S2R) ∘ P,
(T7I,S8R) ∘ P.
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