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Definition
This group is defined in the following equivalent ways:
 It is the projective symplectic group of degree four (i.e., arising from matrices) over field:F3. This is denoted and the Chevalley notation is  however, due to collision with another family (see definition (3)) it is denoted .
 It is the projective special unitary group of degree four (i.e., arising from matrices) over field:F2. This is denoted and the Chevalley notation is PLACEHOLDER FOR INFORMATION TO BE FILLED IN: [SHOW MORE]
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 It is the Chevalley group of type B , i.e., the group . This is kernel of the spinor norm on the special orthogonal group .
Arithmetic functions
Basic arithmetic functions
Function 
Value 
Similar groups 
Explanation for function value

order (number of elements, equivalently, cardinality or size of underlying set) 
25920 
groups with same order 
As

Arithmetic functions of a counting nature
Group properties
GAP implementation