Finite Group Databasebeta

← Group #308497

Character table — Group #308497

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1111-1-1-1-11111-1
χ17222222222-2-22-222-22222-2-2000022-2-20000000022-2-20000000000-2000000000000
χ18222222222-2-22-222-22222-2-20000-2-2-2-200000000-2-22200000000002000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000222200000000-2-2220000000000-2000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-2220000000022-2-200000000002000000000000
χ2122222222-222-22-2-220000-2-22222000022-2-2-2-2-2-2000000000000000200000000000
χ2222222222-222-22-2-220000-2-222220000-2-22222-2-2000000000000000-200000000000
χ2322222222-222-22-2-220000-2-2-2-2-2-2000022-2-22222000000000000000-200000000000
χ2422222222-222-22-2-220000-2-2-2-2-2-20000-2-222-2-222000000000000000200000000000
χ25222-22-2-2-220020-2-2022-2-20022−2−22-2000000002−22-20022−2−222−2−20000000000002−20
χ26222-22-2-2-220020-2-2022-2-20022−2−2-22000000002−2-220022−2−2−2−222000000000000−220
χ27222-22-2-2-220020-2-2022-2-200−2−2222-200000000−222-200−2−222−2−222000000000000−220
χ28222-22-2-2-220020-2-2022-2-200−2−222-2200000000−22-2200−2−22222−2−20000000000002−20
χ29222-22-2-2-220020-2-20-2-2220022−2−22-2000000002−2-2200−2−222−2−2220000000000002−20
χ30222-22-2-2-220020-2-20-2-2220022−2−2-22000000002−22-200−2−22222−2−2000000000000−220
χ31222-22-2-2-220020-2-20-2-22200−2−2222-200000000−22-220022−2−222−2−2000000000000−220
χ32222-22-2-2-220020-2-20-2-22200−2−222-2200000000−222-20022−2−2−2−2220000000000002−20
χ332-222-22-2-2222-2-22-2-22-22-22-20000002-2000000000000000000002-20000002-200000
χ342-222-22-2-2222-2-22-2-22-22-22-20000002-200000000000000000000-22000000-2200000
χ352-222-22-2-2222-2-22-2-2-22-222-2000000-22000000000000000000002-2000000-2200000
χ362-222-22-2-2222-2-22-2-2-22-222-2000000-2200000000000000000000-220000002-200000
χ372-222-22-2-22-2-2-222-222-22-2-22000000-222i−2i2i−2i000000000000000000002i−2i000000000
χ382-222-22-2-22-2-2-222-222-22-2-22000000-22−2i2i−2i2i00000000000000000000−2i2i000000000
χ392-222-22-2-22-2-2-222-22-22-22-220000002-22i−2i2i−2i00000000000000000000−2i2i000000000
χ402-222-22-2-22-2-2-222-22-22-22-220000002-2−2i2i−2i2i000000000000000000002i−2i000000000
χ412-222-22-2-2-2-2-222-22200002-2000000002i−2i−2i2i000000002-22-200000000002i−2i0000000
χ422-222-22-2-2-2-2-222-22200002-2000000002i−2i−2i2i00000000-22-220000000000−2i2i0000000
χ432-222-22-2-2-2-2-222-22200002-200000000−2i2i2i−2i000000002-22-20000000000−2i2i0000000
χ442-222-22-2-2-2-2-222-22200002-200000000−2i2i2i−2i00000000-22-2200000000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4-400-404400000002222−22−220000000000−2222000000000000000000000000000
χ47444-44-4-4-4-400-40440000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-4-44-4404-40400-4000000000000000000000000000000000000000000002i2−2i2000
χ4944-4-4-44-4404-40400-400000000000000000000000000000000000000000000−2i22i2000
χ5044-4-4-44-440-440-40040000000000000000004-400000000000000000000000000000
χ5144-4-4-44-440-440-4004000000000000000000-4400000000000000000000000000000
χ524-444-44-4-4-4444-4-44-40000-440000000000000000000000000000000000000000000
χ534-44-4-4-444400-40-4404-4-44000000000000000000000000000000000000000000000
χ544-44-4-4-444400-40-440-444-4000000000000000000000000000000000000000000000
χ554-44-4-4-444-400404-400000000000000000000000000022−22−22220000000000000000000
χ564-44-4-4-444-400404-4000000000000000000000000000−222222−220000000000000000000
χ574-4-444-4-440000000000000022−2222−22000000000000002i2−2i200002i−2i2i−2i000000000000000
χ584-4-444-4-440000000000000022−2222−2200000000000000−2i22i20000−2i2i−2i2i000000000000000
χ594-4-444-4-4400000000000000−2222−2222000000000000002i2−2i20000−2i2i−2i2i000000000000000
χ604-4-444-4-4400000000000000−2222−222200000000000000−2i22i200002i−2i2i−2i000000000000000
χ614-4-4-4444-404-40-40040000004-4-44000000000000000000000000000000000000000
χ624-4-4-4444-404-40-4004000000-444-4000000000000000000000000000000000000000
χ634-4-4-4444-40-440400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-4-4444-40-440400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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