Finite Group Databasebeta

← Group #271066

Character table — Group #271066

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444442244444444444444444444448888888888888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111
χ61111111111111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11-1-111111-1-1
χ71111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-11111-1-1
χ81111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-111
χ91111111111111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-111-1-11-1
χ101111111111111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-11
χ111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-11-1-111-11
χ121111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-11-1
χ131111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1111-1
χ141111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1111-1-1-111-1-1-11
χ151111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11
χ161111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1111-1
χ172222222222-2-222-2-22222-2-2-2-2-22222-2-2-2-2-20022000000000000000000000000000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2222200-2-2000000000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-222222222-2-2-22200-2-2000000000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-22222-2-2-2-2-222-2-20022000000000000000000000000000000
χ2122222222-2-222-2-22222-2-2-222-2-20000-20000220022000000000000000000-200-2000000
χ2222222222-2-222-2-22222-2-2-222-2-20000-20000-2-200-2-20000000000000000002002000000
χ2322222222-2-222-2-222-2-222-2-2-2220000-200002200-2-2000000000000000000-2002000000
χ2422222222-2-222-2-222-2-222-2-2-2220000-20000-2-20022000000000000000000200-2000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-22200002000000000000000000000000002-202-20000000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-2220000200000000000000000000000000-220-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-2-200002000000000000000000000000002-20-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-2-20000200000000000000000000000000-2202-20000000
χ2922-222-2-2-2-2-20022002-22-2000002i2i−2i−2i00000002i−2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-222-2-2-2-2-20022002-22-2000002i2i−2i−2i00000002i−2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-222-2-2-2-2-20022002-22-200000−2i−2i2i2i0000000−2i2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-222-2-2-2-2-20022002-22-200000−2i−2i2i2i0000000−2i2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ3322-222-2-2-2-2-2002200-22-22000002i2i−2i−2i0000000−2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ3422-222-2-2-2-2-2002200-22-22000002i2i−2i−2i0000000−2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ3522-222-2-2-2-2-2002200-22-2200000−2i−2i2i2i00000002i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-222-2-2-2-2-2002200-22-2200000−2i−2i2i2i00000002i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ372-22-222-2-22-2002-200000002i−2i2i−2i2i−2i2i−2i0002-20000002−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ382-22-222-2-22-2002-200000002i−2i2i−2i2i−2i2i−2i0002-2000000−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ392-22-222-2-22-2002-200000002i−2i2i−2i−2i2i−2i2i000-220000002−22−2i2−i2i2−i2−i2i2−i2i2−22−22000000000000
χ402-22-222-2-22-2002-200000002i−2i2i−2i−2i2i−2i2i000-22000000−22−22−i2i2−i2i2i2−i2i2−i22−22−2000000000000
χ412-22-222-2-22-2002-20000000−2i2i−2i2i2i−2i2i−2i000-220000002−22−2−i2i2−i2i2i2−i2i2−i2−22−22000000000000
χ422-22-222-2-22-2002-20000000−2i2i−2i2i2i−2i2i−2i000-22000000−22−22i2−i2i2−i2−i2i2−i2i22−22−2000000000000
χ432-22-222-2-22-2002-20000000−2i2i−2i2i−2i2i−2i2i0002-20000002−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ442-22-222-2-22-2002-20000000−2i2i−2i2i−2i2i−2i2i0002-2000000−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ452-2-2-22-222-22222-2-2-20000200002-2-22-22-20000000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ462-2-2-22-222-22222-2-2-20000200002-2-22-22-2000000000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ472-2-2-22-222-22222-2-2-2000020000-222-2-2-220000000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ482-2-2-22-222-22222-2-2-2000020000-222-2-2-22000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ492-2-2-22-222-22-2-22-2220000-200002-2-222-22000000002-2-2200002-2-220000000000000000
χ502-2-2-22-222-22-2-22-2220000-200002-2-222-2200000000-222-20000-222-20000000000000000
χ512-2-2-22-222-22-2-22-2220000-20000-222-222-2000000002-2-220000-222-20000000000000000
χ522-2-2-22-222-22-2-22-2220000-20000-222-222-200000000-222-200002-2-220000000000000000
χ5344-444-4-4-44400-4-4004-4-44000000000000000000000000000000000000000000000000
χ5444-444-4-4-44400-4-400-444-4000000000000000000000000000000000000000000000000
χ5544-4-4-444-4004-4004-400000000000000000000000000000000000000000000002i2−2i20000
χ5644-4-4-444-4004-4004-40000000000000000000000000000000000000000000000−2i22i20000
χ5744-4-4-444-400-4400-440000000000000000000000000000000000000000000000002i2−2i200
χ5844-4-4-444-400-4400-44000000000000000000000000000000000000000000000000−2i22i200
χ594-444-4-44-4004-400-4400000000000000000000004i−4i0000000000000000000000000000
χ604-444-4-44-4004-400-440000000000000000000000−4i4i0000000000000000000000000000
χ614-444-4-44-400-44004-40000000000000000004i−4i00000000000000000000000000000000
χ624-444-4-44-400-44004-4000000000000000000−4i4i00000000000000000000000000000000
χ634-44-444-4-4-4400-4400000004i−4i−4i4i0000000000000000000000000000000000000000000
χ644-44-444-4-4-4400-440000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ654-4-4-44-4444-444-44-4-40000-400000000400000000000000000000000000000000000000
χ664-4-4-44-4444-4-4-4-44440000400000000-400000000000000000000000000000000000000
χ67888-8-8-8-88000000000000000000000000000000000000000000000000000000000000
χ688-8-88-88-88000000000000000000000000000000000000000000000000000000000000

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