O'Nan group

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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

Th O'Nan group, denoted ON, is one of the 26 sporadic simple groups that appear in the classification of finite simple groups. It has order:

460815505920   = 2^9 \cdot 3^4 \cdot 5 \cdot 7^3 \cdot 11 \cdot 19 \cdot 31

Arithmetic functions

Function Value Similar groups Explanation for function value
order (number of elements, equivalently, cardinality or size of underlying set) 460815505920 groups with same order
number of conjugacy classes 30

Linear representation theory

Further information: linear representation theory of O'Nan group

Item Value
degrees of irreducible representations over a splitting field (such as \overline{\mathbb{Q}} or \mathbb{C}) 1, 10944, 13376 (2 times), 25916 (2 times), 26752, 32395 (2 times), 37696, 52668, 53811 (3 times), 58653, 64790 (2 times), 85064, 116963, 143374, 169290 (2 times), 175616 (2 times), 175770, 207360 (3 times), 234080 (2 times)
number: 30, quasirandom degree: 10944, maximum: 234080, sum of squares: 460815505920


External links