Finite Group Databasebeta

← Group #247295

Character table — Group #247295

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442222244444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111-1-11111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111
χ91111111111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-1111111-1111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1111-1-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-11111-1-11-1-1-1111111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-22222-2-22-2-20000-2-22200000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2222000022-2-200000000000000000000000000
χ192222222222-2-222-2-2-2-222222222-2-2-2220000-2-2-2-200000000000000000000000000
χ202222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-20000222200000000000000000000000000
χ2122222222-2-222-2-2222222-2-20000-2-2-200222200000000000000-200-2000000000000
χ2222222222-2-222-2-2222222-2-20000-2-2-200-2-2-2-2000000000000002002000000000000
χ2322222222-2-222-2-222-2-2-2-2220000-2-220022-2-200000000000000200-2000000000000
χ2422222222-2-222-2-222-2-2-2-2220000-2-2200-2-22200000000000000-2002000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000022-20000000000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222000022-2000000000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-200002220000000000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-20000222000000000000000000000-2202-20000000000
χ2922-2-222-2-22-2002-200002i−2i2i−2i2i2i−2i−2i0002-200000000i2i2−i2−i222−2−200000000002−2i2−i20000
χ3022-2-222-2-22-2002-200002i−2i2i−2i2i2i−2i−2i0002-200000000−i2−i2i2i2−2−2220000000000−22−i2i20000
χ3122-2-222-2-22-2002-200002i−2i2i−2i−2i−2i2i2i000-2200000000i2i2−i2−i222−2−20000000000−22−i2i20000
χ3222-2-222-2-22-2002-200002i−2i2i−2i−2i−2i2i2i000-2200000000−i2−i2i2i2−2−22200000000002−2i2−i20000
χ3322-2-222-2-22-2002-20000−2i2i−2i2i2i2i−2i−2i000-2200000000i2i2−i2−i2−2−22200000000002−2−i2i20000
χ3422-2-222-2-22-2002-20000−2i2i−2i2i2i2i−2i−2i000-2200000000−i2−i2i2i222−2−20000000000−22i2−i20000
χ3522-2-222-2-22-2002-20000−2i2i−2i2i−2i−2i2i2i0002-200000000i2i2−i2−i2−2−2220000000000−22i2−i20000
χ3622-2-222-2-22-2002-20000−2i2i−2i2i−2i−2i2i2i0002-200000000−i2−i2i2i222−2−200000000002−2−i2i20000
χ372-2-2-2-2222-2-22-2222-20000002-22-22-200000002-200000000002-20000000000002-200
χ382-2-2-2-2222-2-22-2222-20000002-22-22-200000002-20000000000-22000000000000-2200
χ392-2-2-2-2222-2-22-2222-2000000-22-222-20000000-2200000000002-2000000000000-2200
χ402-2-2-2-2222-2-22-2222-2000000-22-222-20000000-220000000000-220000000000002-200
χ412-2-2-2-2222-2-2-2222-220000002-22-2-220000000-220000000000000000002-20000002-2
χ422-2-2-2-2222-2-2-2222-220000002-22-2-220000000-22000000000000000000-22000000-22
χ432-2-2-2-2222-2-2-2222-22000000-22-22-2200000002-20000000000000000002-2000000-22
χ442-2-2-2-2222-2-2-2222-22000000-22-22-2200000002-2000000000000000000-220000002-2
χ45444-4-4-44-4000000004i−4i0000000000000000000002-22-22i−2i2i−2i000000000000000000
χ46444-4-4-44-4000000004i−4i000000000000000000000-22-22−2i2i−2i2i000000000000000000
χ47444-4-4-44-400000000−4i4i0000000000000000000002-22-2−2i2i−2i2i000000000000000000
χ48444-4-4-44-400000000−4i4i000000000000000000000-22-222i−2i2i−2i000000000000000000
χ4944-44-4-4-44004-400-440000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-44-4-4-44004-400-44000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-44-4-4-4400-44004-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-44-4-4-4400-44004-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ5344-4-444-4-4-4400-4400004i−4i−4i4i0000000000000000000000000000000000000000000
χ5444-4-444-4-4-4400-440000−4i4i4i−4i0000000000000000000000000000000000000000000
χ554-444-44-4-44-400-44000000000000000000000004i−4i00000000000000000000000000
χ564-444-44-4-44-400-4400000000000000000000000−4i4i00000000000000000000000000
χ574-444-44-4-4-44004-4000000004i−4i−4i4i000000000000000000000000000000000000000
χ584-444-44-4-4-44004-400000000−4i4i4i−4i000000000000000000000000000000000000000
χ594-44-44-4-44004400-4-4000000000000000004i−4i000000000000000000000000000000
χ604-44-44-4-44004400-4-400000000000000000−4i4i000000000000000000000000000000
χ614-44-44-4-4400-4-400440000000000000004-400000000000000000000000000000000
χ624-44-44-4-4400-4-40044000000000000000-4400000000000000000000000000000000
χ634-4-4-4-4444444-4-4-44-40000000000-440000000000000000000000000000000000000
χ644-4-4-4-444444-44-4-4-4400000000004-40000000000000000000000000000000000000
χ658-8-888-88-8000000000000000000000000000000000000000000000000000000000

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