# Projective special unitary group:PSU(3,3)

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This article is about a particular group, i.e., a group unique upto isomorphism. View specific information (such as linear representation theory, subgroup structure) about this group
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## Definition

This group is defined in the following equivalent ways:

## Arithmetic functions

Want to compare and contrast arithmetic function values with other groups of the same order? Check out groups of order 6048#Arithmetic functions
Function Value Similar groups Explanation
order (number of elements, equivalently, cardinality or size of underlying set) 6048 groups with same order As $SU(3,q), q = 3$: PLACEHOLDER FOR INFORMATION TO BE FILLED IN: [SHOW MORE]
exponent of a group 168 groups with same order and exponent of a group | groups with same exponent of a group As $SU(3,q), q = 3$: PLACEHOLDER FOR INFORMATION TO BE FILLED IN: [SHOW MORE]

## Group properties

Property Satisfied? Explanation
abelian group No
nilpotent group No
solvable group No
simple group, simple non-abelian group Yes projective special unitary group is simple

## GAP implementation

Description Functions used
PerfectGroup(6048,1) PerfectGroup
PSU(3,3) PSU
SU(3,3) SU