General linear group:GL(3,3)
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Definition
This group is defined in the following equivalent ways:
- It is the general linear group of degree three over field:F3.
- It is the external direct product of projective special linear group:PSL(3,3) and cyclic group:Z2.
Arithmetic functions
Function | Value | Similar groups | Explanation |
---|---|---|---|
order (number of elements, equivalently, cardinality or size of underlying set) | 11232 | groups with same order | order of a general linear group of degree three over a finite field with ![]() ![]() ![]() ![]() |
exponent of a group | 312 | groups with same order and exponent of a group | groups with same exponent of a group |
GAP implementation
Description | Functions used |
---|---|
GL(3,3) or GeneralLinearGroup(3,3) | GAP:GL |