Projective symplectic group:PSp(6,2)
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This group is defined in the following equivalent ways:
- It is the projective symplectic group of degree six (i.e., arising from matrices) over field:F2. This is denoted and the Chevalley notation is ; however, it can also be described as (see below).
- It is the symplectic group of degree six (i.e., arising from matrices) over field:F2. This is denoted .
- It is the Chevalley group of type B over field:F2.
Equivalence of definitions
The equivalence of (1) and (2) follows from isomorphism between symplectic and projective symplectic group in characteristic two.
|order (number of elements, equivalently, cardinality or size of underlying set)||1451520||groups with same order||As : becomes|