Janko group:J1

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Definition

This group, denoted $J_{1}$, is one of the Janko groups. It was constructed by Janko.

The order of the group is:

$\!175560=2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 19$

The group is a finite simple non-abelian group and in fact it is one of the 26 sporadic simple groups.

Arithmetic functions

Function	Value	Similar groups	Explanation
order (number of elements, equivalently, cardinality or size of underlying set)	175560	groups with same order

Arithmetic functions of a counting nature

Function	Value	Explanation
number of conjugacy classes	15	See element structure of Janko group:J1

External links

• J1 on the Atlas of Finite Groups