Janko group:J3

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Definition

This group, denoted $J_{3}$, is one of the Janko groups. It was constructed by Janko.

The order of the group is:

$\!50232960=2^{7}\cdot 3^{5}\cdot 5\cdot 17\cdot 19$

Arithmetic functions

Function	Value	Similar groups	Explanation
order (number of elements, equivalently, cardinality or size of underlying set)	50232960	groups with same order

Arithmetic functions of a counting nature

Function	Value	Explanation
number of conjugacy classes	21	See element structure of Janko group:J3