Sporadic groups

Theorem. [AFGV2, FV]   Let $G$ be a sporadic simple group different from the Monster $M$. A conjugacy class in $G$ or Aut $G$ that does not appear in the Table below is of type D, hence collapses.

Remark. As for the Monster group $M$, the only conjugacy classes not known to be of type D (or not) are

32A, 32B, 41A, 46A, 46B, 47A, 47B, 59A, 59B, 69A, 69B, 71A, 71B, 87A, 87B, 92A, 92B, 94A, 94B.

The criteria of type C and F were not applied neither to these classes nor to those in the Table.

Group	Classes	Group	Classes
$T$	2A	$M_{11}$	8A, 8B, 11A, 11B
$M_{12}$	11A, 11B	$M_{22}$	11A, 11B
$M_{23}$	23A, 23B	$M_{24}$	23A, 23B
$Ru$	29A, 29B	$Suz$	3A
$HS$	11A, 11B	$McL$	11A, 11B
$Co_{1}$	3A	$Co_{2}$	2A, 23A, 23B
$Co_{3}$	23A, 23B	$J_{1}$	15A, 15B, 19A, 19B, 19C
$J_{2}$	2A, 3A	$J_{3}$	5A, 5B, 19A, 19B
$J_4$	29A, 43A, 43B, 43C	$Ly$	37A, 37B, 67A, 67B, 67C
$O'N$	31A, 31B	$Fi_{23}$	2A
$Fi_{22}$	2A, 22A, 22B	$Fi'_{24}$	29A, 29B
$B$	2A, 46A, 46B, 47A, 47B	Aut $(M_{22})$	2B
Aut $(HS)$	2C	Aut $(J_{3})$	34A, 34B
Aut $(ON)$	38A, 38B, 38C	Aut $(Fi_{24}')$	2C
Aut $(Fi_{22})$	2D	Aut $(McL)$	22A, 22B