Finite Group Databasebeta

← Group #246237

Character table — Group #246237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-111-11-1-11-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111111-1-1-1-11111
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-1111-1-1-1-1-111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-11-11-1111-1-111-1-11111-1-1
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-11-11-111111-1-111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-111-111111111-1-1-1-111-1-1-1-1-1111-1-1-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-111-11111-1-1-1-1111111-1-1-1-1-11-1-11111-1-111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11-11-1111-1-1-11111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111-11-1111-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2-2-222002-2-20000000000200-20000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-2002220000000000-20020000000000000000
χ19222222222222-2-2-22222-2-2-22200-2220000000000-200-20000000000000000
χ20222222222222-2-2-22222-2-2-2-2-200-2-2-2000000000020020000000000000000
χ2122222222-2-2-2-222222-2-2-2-220022-200-2-200000000000002-20000000000000
χ2222222222-2-2-2-222222-2-2-2-2200-2-2-200220000000000000-220000000000000
χ2322222222-2-2-2-22-2-2-2-222-2-220022200-2-20000000000000-220000000000000
χ2422222222-2-2-2-22-2-2-2-222-2-2200-2-22002200000000000002-20000000000000
χ2522222222-2-2-2-2-222-2-22222-20000-200000000000002-20200-2000000000000
χ2622222222-2-2-2-2-222-2-22222-20000-20000000000000-220-2002000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-2000020000000000000220-200-2000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2000020000000000000-2-202002000000000000
χ292-22-22-2-2222-2-20002-22-20002i−2i0002i−2i00i2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ302-22-22-2-2222-2-20002-22-20002i−2i0002i−2i00−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ312-22-22-2-2222-2-20002-22-2000−2i2i000−2i2i00i2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ322-22-22-2-2222-2-20002-22-2000−2i2i000−2i2i00−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ332-22-22-2-2222-2-2000-22-220002i−2i000−2i2i00i2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ342-22-22-2-2222-2-2000-22-220002i−2i000−2i2i00−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ352-22-22-2-2222-2-2000-22-22000−2i2i0002i−2i00i2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ362-22-22-2-2222-2-2000-22-22000−2i2i0002i−2i00−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ372-2-2-2-22222-22-2-20000002-22002-20002-200002-22-200000000002-200000000
χ382-2-2-2-22222-22-2-20000002-22002-20002-20000-22-220000000000-2200000000
χ392-2-2-2-22222-22-2-20000002-2200-22000-2200002-22-20000000000-2200000000
χ402-2-2-2-22222-22-2-20000002-2200-22000-220000-22-2200000000002-200000000
χ412-2-2-2-2222-22-22-2000000-222002-2000-222-22-20000000000002-20000000000
χ422-2-2-2-2222-22-22-2000000-222002-2000-22-22-22000000000000-220000000000
χ432-2-2-2-2222-22-22-2000000-22200-220002-22-22-2000000000000-220000000000
χ442-2-2-2-2222-22-22-2000000-22200-220002-2-22-220000000000002-20000000000
χ4544-44-4-4-444-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ4644-44-4-4-444-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ4744-44-4-4-44-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ4844-44-4-4-44-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ494-44-44-4-44-4-4440004-4-440000000000000000000000000000000000000000
χ504-44-44-4-44-4-444000-444-40000000000000000000000000000000000000000
χ514-4-444-44-4000004-40000000000000000000000000000000000002i−2i2i−2i0000
χ524-4-444-44-4000004-4000000000000000000000000000000000000−2i2i−2i2i0000
χ534-4-444-44-400000-440000000000000000000000000000000000002i−2i−2i2i0000
χ544-4-444-44-400000-44000000000000000000000000000000000000−2i2i2i−2i0000
χ554-4-4-4-44444-44-44000000-44-40000000000000000000000000000000000000
χ564-4-4-4-4444-44-4440000004-4-40000000000000000000000000000000000000
χ57888-8-8-88-8000000000000000000000000000000000000000000000000000
χ5888-8-888-8-8000000000000000000000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).