Baby monster group

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VIEW FACTS ABOUT THIS GROUP: All factsGroup property satisfactionsSubgroup property satisfactionsGroup property dissatisfactionsSubgroup property satisfactions
VIEW DEFINITIONS USING THIS AS EXAMPLE: All terms |Group properties |Subgroup properties|
VIEW FACTS USING THIS AS EXAMPLE: All facts |Group property non-implications |Subgroup property non-implications |Group metaproperty dissatisfactionsSubgroup metaproperty dissatisfactions

Definition

The baby monster group, denoted B, is one of the 26 sporadic simple groups that occurs in the classification of finite simple groups.

Arithmetic functions

Basic arithmetic functions

Function	Value	Similar groups	Explanation for function value
order (number of elements, equivalently, cardinality or size of underlying set)	4154781481226426191177580544000000	groups with same order

Arithmetic functions of a counting nature

Function	Value	Similar groups	Explanation for function value
number of conjugacy classes	184	groups with same order and number of conjugacy classes | groups with same number of conjugacy classes	See element structure of baby monster group, linear representation theory of baby monster group

External links

• B on the Atlas of Finite Groups