Finite Group Databasebeta

← Group #293601

Character table — Group #293601

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444444448888888888888888244444888824
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
χ511111111111111111111-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ711111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ91111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ121111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111-1
χ172222222222-2-222-2-222220000-2-2-2-2-2-200002200-2-20000000000000000-220000000000
χ182222222222-2-222-2-222220000-2-2-2-2-2-20000-2-2002200000000000000002-20000000000
χ192222222222-2-222-2-2-2-2-2-200002222-2-200002200220000000000000000-2-20000000000
χ202222222222-2-222-2-2-2-2-2-200002222-2-20000-2-200-2-20000000000000000220000000000
χ2122222222-2-222-2-22222-2-2222222-2-2-2-2-2-22200-2-2000000000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-222-2-2-2-222-2-20022000000000000000000000000000000
χ2322222222-2-222-2-222-2-2222222-2-222-2-2-2-2-2-20022000000000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-222-2-2222200-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-20000-2-2222200000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-20000-2-222220000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222000022-2-22200000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-222000022-2-2220000000000000000000000000000-222-2000000
χ2922-2-222-2-2002-2002-2002i−2i22-2-2002i−2i000000002i−2i0022−2−2i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ3022-2-222-2-2002-2002-2002i−2i22-2-2002i−2i000000002i−2i00−2−222−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ3122-2-222-2-2002-2002-2002i−2i-2-222002i−2i00000000−2i2i0022−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ3222-2-222-2-2002-2002-2002i−2i-2-222002i−2i00000000−2i2i00−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ3322-2-222-2-2002-2002-200−2i2i22-2-200−2i2i00000000−2i2i0022−2−2−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ3422-2-222-2-2002-2002-200−2i2i22-2-200−2i2i00000000−2i2i00−2−222i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ3522-2-222-2-2002-2002-200−2i2i-2-22200−2i2i000000002i−2i0022−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ3622-2-222-2-2002-2002-200−2i2i-2-22200−2i2i000000002i−2i00−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ372-22-22-22-2002-200-222i−2i002i−2i2i−2i2i−2i0000002-20000002−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ382-22-22-22-2002-200-222i−2i002i−2i2i−2i2i−2i0000002-2000000−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ392-22-22-22-2002-200-222i−2i00−2i2i−2i2i2i−2i000000-220000002−22−2i2−i2i2−i2−i2i2−i2i2−22−22000000000000
χ402-22-22-22-2002-200-222i−2i00−2i2i−2i2i2i−2i000000-22000000−22−22−i2i2−i2i2i2−i2i2−i22−22−2000000000000
χ412-22-22-22-2002-200-22−2i2i002i−2i2i−2i−2i2i000000-220000002−22−2−i2i2−i2i2i2−i2i2−i2−22−22000000000000
χ422-22-22-22-2002-200-22−2i2i002i−2i2i−2i−2i2i000000-22000000−22−22i2−i2i2−i2−i2i2−i2i22−22−2000000000000
χ432-22-22-22-2002-200-22−2i2i00−2i2i−2i2i−2i2i0000002-20000002−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ442-22-22-22-2002-200-22−2i2i00−2i2i−2i2i−2i2i0000002-2000000−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ452-2-222-2-222-2222-2-2-200002i−2i−2i2i00002-22i−2i0000000000002-2-220000−2i2i2i−2i000000000000
χ462-2-222-2-222-2222-2-2-200002i−2i−2i2i00002-22i−2i000000000000-222-200002i−2i−2i2i000000000000
χ472-2-222-2-222-2222-2-2-20000−2i2i2i−2i00002-2−2i2i0000000000002-2-2200002i−2i−2i2i000000000000
χ482-2-222-2-222-2222-2-2-20000−2i2i2i−2i00002-2−2i2i000000000000-222-20000−2i2i2i−2i000000000000
χ492-2-222-2-22-2222-22-2-200002i−2i−2i2i0000-22−2i2i000000002-2-2200002i−2i−2i2i0000000000000000
χ502-2-222-2-22-2222-22-2-200002i−2i−2i2i0000-22−2i2i00000000-222-20000−2i2i2i−2i0000000000000000
χ512-2-222-2-22-2222-22-2-20000−2i2i2i−2i0000-222i−2i000000002-2-220000−2i2i2i−2i0000000000000000
χ522-2-222-2-22-2222-22-2-20000−2i2i2i−2i0000-222i−2i00000000-222-200002i−2i−2i2i0000000000000000
χ534444-4-4-4-44400-4-400000000000000000000000000000000000000000000000022−220000
χ544444-4-4-4-44400-4-4000000000000000000000000000000000000000000000000−22220000
χ554444-4-4-4-4-4-40044000000000000000000000000000000000000000000000000002i2−2i200
χ564444-4-4-4-4-4-4004400000000000000000000000000000000000000000000000000−2i22i200
χ5744-4-444-4-400-4400-44004i−4i000000−4i4i0000000000000000000000000000000000000000
χ5844-4-444-4-400-4400-4400−4i4i0000004i−4i0000000000000000000000000000000000000000
χ594-44-44-44-400-44004-44i−4i000000−4i4i000000000000000000000000000000000000000000
χ604-44-44-44-400-44004-4−4i4i0000004i−4i000000000000000000000000000000000000000000
χ614-4-444-4-444-4-4-44-444000000000000-4400000000000000000000000000000000000000
χ624-4-444-4-44-44-4-4-44440000000000004-400000000000000000000000000000000000000
χ634-4-44-444-44-400-440000000000000000000000004i−4i0000000000000000000000000000
χ644-4-44-444-44-400-44000000000000000000000000−4i4i0000000000000000000000000000
χ654-4-44-444-4-44004-4000000000000000000004i−4i00000000000000000000000000000000
χ664-4-44-444-4-44004-400000000000000000000−4i4i00000000000000000000000000000000
χ6788-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-88-8-88-88000000000000000000000000000000000000000000000000000000000000

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