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✓ label
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nilpotency class
conjugacy classes
✓ subfields
✓ low degree siblings
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Label
Name
Order
Parity
Solvable
Nil. class
Conj. classes
Subfields
Low Degree Siblings
3T2
$S_3$
$6$
$-1$
✓
$-1$
$3$
6T2
6T2
$S_3$
$6$
$-1$
✓
$-1$
$3$
$C_2$
,
$S_3$
3T2
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Results are complete for degrees $\leq 23$.