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\(\Q\)-end algebra
\(\mathrm{ST}(X)\)
\(\mathrm{Aut}(X)\)
Square Ш*
\(\overline{\Q}\)-simple
Q
RM
CM
Q x Q
M_2(Q)
J(C_2)
J(C_4)
J(C_6)
J(D_2)
J(D_3)
J(D_4)
J(D_6)
J(T)
J(O)
C_{2,1}
C_{6,1}
D_{2,1}
D_{3,2}
D_{4,1}
D_{4,2}
D_{6,1}
D_{6,2}
O_1
E_1
E_2
E_3
E_4
E_6
J(E_1)
J(E_2)
J(E_3)
J(E_4)
J(E_6)
F_{a,b}
F_{ac}
N(U(1)xSU(2))
SU(2)xSU(2)
N(SU(2)xSU(2))
USp(4)
C2
C4
V4
C6
D4
D6
yes
no
yes
no
\(\overline{\Q}\)-end algebra
\(\mathrm{ST}^0(X)\)
\(\mathrm{Aut}(X_{\overline{\Q}})\)
Locally solvable
$\GL_2$-type
Q
RM
CM
QM
Q x Q
CM x Q
CM x CM
M_2(Q)
M_2(CM)
U(1)
SU(2)
U(1) x U(1)
U(1) x SU(2)
SU(2) x SU(2)
USp(4)
C2
V4
D4
C10
D6
C3:D4
GL(2,3)
yes
no
yes
no
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Nonmax$\ \ell$
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