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This group, denoted , is one of the three Fischer groups. Fischer groups are 3-transposition groups that are not the symmetric groups or alternating group. is one of the 26 sporadic simple groups that appear in the classification of finite simple groups.
The order of the group is:
|Function||Value||Similar groups||Explanation for function value|
|order (number of elements, equivalently, cardinality or size of underlying set)||64561751654400||groups with same order|
|number of conjugacy classes||65|