Finite Group Databasebeta

← Group #249559

Character table — Group #249559

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888224444444488888888888888222444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111111-111-1-1-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ17222222222-22-22-22-22222-2-200000000-2-2002200220000-2-2000000-2000000000000
χ18222222222-22-22-22-22222-2-200000000-2-200-2-200-2-20000220000002000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-20000000022002200-2-2000022000000-2000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2000000002200-2-200220000-2-20000002000000000000
χ2122222222-22-22-22-220000-2-2222222-2-2002200-2-2000000000000000-200000000000
χ2222222222-22-22-22-220000-2-22222-2-22200-2-200-2-2000000000000000200000000000
χ2322222222-22-22-22-220000-2-2-2-2-2-2222200-2-20022000000000000000-200000000000
χ2422222222-22-22-22-220000-2-2-2-2-2-2-2-2-2-200220022000000000000000200000000000
χ25222-2-2-22-220-20-202022-2-200i2i2−i2−i2000000002i−2ii2−i22i−2ii2i2−i2−i20022−2−2000000002−200000
χ26222-2-2-22-220-20-202022-2-200i2i2−i2−i200000000−2i2ii2−i2−2i2ii2i2−i2−i200−2−22200000000−2200000
χ27222-2-2-22-220-20-202022-2-200−i2−i2i2i2000000002i−2i−i2i22i−2i−i2−i2i2i200−2−22200000000−2200000
χ28222-2-2-22-220-20-202022-2-200−i2−i2i2i200000000−2i2i−i2i2−2i2i−i2−i2i2i20022−2−2000000002−200000
χ29222-2-2-22-220-20-2020-2-22200i2i2−i2−i2000000002i−2ii2−i2−2i2i−i2−i2i2i200−2−222000000002−200000
χ30222-2-2-22-220-20-2020-2-22200i2i2−i2−i200000000−2i2ii2−i22i−2i−i2−i2i2i20022−2−200000000−2200000
χ31222-2-2-22-220-20-2020-2-22200−i2−i2i2i2000000002i−2i−i2i2−2i2ii2i2−i2−i20022−2−200000000−2200000
χ32222-2-2-22-220-20-2020-2-22200−i2−i2i2i200000000−2i2i−i2i22i−2ii2i2−i2−i200−2−222000000002−200000
χ332-2-2-22-2222-2-222-2-220000-220000002-2002-20000002-22-20000002-20000000000000
χ342-2-2-22-2222-2-222-2-220000-220000002-2002-2000000-22-22000000-220000000000000
χ352-2-2-22-2222-2-222-2-220000-22000000-2200-220000002-22-2000000-220000000000000
χ362-2-2-22-2222-2-222-2-220000-22000000-2200-22000000-22-220000002-20000000000000
χ372-2-2-22-222-222-2-222-22-22-2-22000000002-200000000000000000000002-20000002-20
χ382-2-2-22-222-222-2-222-22-22-2-22000000002-20000000000000000000000-22000000-220
χ392-2-2-22-222-222-2-222-2-22-22-2200000000-2200000000000000000000002-2000000-220
χ402-2-2-22-222-222-2-222-2-22-22-2200000000-220000000000000000000000-220000002-20
χ412-2-2-22-222-2-222-2-2222-22-22-20000002-2-22-2200000000000000000000002-20000000
χ422-2-2-22-222-2-222-2-2222-22-22-2000000-22-222-20000000000000000000000-220000000
χ432-2-2-22-222-2-222-2-222-22-222-20000002-22-2-220000000000000000000000-220000000
χ442-2-2-22-222-2-222-2-222-22-222-2000000-222-22-200000000000000000000002-20000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4-404040-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ47444-4-4-44-4-404040-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-44-4-4-4404040-40-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ4944-44-4-4-4404040-40-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-44-4-4-440-40-404040000004-44-4000000000000000000000000000000000000000
χ5144-44-4-4-440-40-40404000000-44-44000000000000000000000000000000000000000
χ5244-4-444-4-4000000000000002i2−2i2−2i22i200000000000000000022−222i−2i−2i2i000000000000000
χ5344-4-444-4-4000000000000002i2−2i2−2i22i2000000000000000000−2222−2i2i2i−2i000000000000000
χ5444-4-444-4-400000000000000−2i22i22i2−2i200000000000000000022−22−2i2i2i−2i000000000000000
χ5544-4-444-4-400000000000000−2i22i22i2−2i2000000000000000000−22222i−2i−2i2i000000000000000
χ564-44-4-44-44040-40-40400000000004-40000000000000000000000000000000000000
χ574-44-4-44-44040-40-4040000000000-440000000000000000000000000000000000000
χ584-44-4-44-440-404040-40000000000000000000000000000000000000000000022−22000
χ594-44-4-44-440-404040-400000000000000000000000000000000000000000000−2222000
χ604-4-44-444-44040-40-400000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ614-4-44-444-44040-40-40000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ624-4-44-444-4-40-4040404-4-44000000000000000000000000000000000000000000000
χ634-4-44-444-4-40-404040-444-4000000000000000000000000000000000000000000000
χ644-4-4-44-44444-4-444-4-400004-40000000000000000000000000000000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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