Finite Group Databasebeta

← Group #290666

Character table — Group #290666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444488888888888888882444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11-1-11111
χ811111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-111-111-1-1-1-1
χ9111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-111-1-1
χ10111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1111-1-111
χ11111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-111-1-1-111-1-111
χ12111111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-111-1-1111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1111-1-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-111-1-11-1-1-111111-1-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-1-111-11-1-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-111-1-11-1111-1-1-1-111
χ172222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-22200000000000000000000000000000000
χ182222222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-200000000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2122222222-2-2-2-222222-2-2-2000022-2-22-20000000000000000000000220000-200-2000000
χ2222222222-2-2-2-222222-2-2-2000022-2-22-20000000000000000000000-2-200002002000000
χ2322222222-2-2-2-22222-22-2-20000-2-222-2200000000000000000000000022-2-20000000000
χ2422222222-2-2-2-22222-22-2-20000-2-222-22000000000000000000000000-2-2220000000000
χ2522222222-2-2-2-2-2-2-2-22-2220000-2-2222-200000000000000000000002-20000-2002000000
χ2622222222-2-2-2-2-2-2-2-22-2220000-2-2222-20000000000000000000000-220000200-2000000
χ2722222222-2-2-2-2-2-2-2-2-2222000022-2-2-220000000000000000000000002-22-20000000000
χ2822222222-2-2-2-2-2-2-2-2-2222000022-2-2-22000000000000000000000000-22-220000000000
χ2922-2-2-222-22-22-22i2i−2i−2i002i−2i22-2-200000000002i−2i22−2−2i2i2−i2−i222−2−2i2i2−i2−i20000000000000000
χ3022-2-2-222-22-22-22i2i−2i−2i002i−2i22-2-200000000002i−2i−2−222−i2−i2i2i2−2−222−i2−i2i2i20000000000000000
χ3122-2-2-222-22-22-22i2i−2i−2i002i−2i-2-2220000000000−2i2i22−2−2i2i2−i2−i2−2−222−i2−i2i2i20000000000000000
χ3222-2-2-222-22-22-22i2i−2i−2i002i−2i-2-2220000000000−2i2i−2−222−i2−i2i2i222−2−2i2i2−i2−i20000000000000000
χ3322-2-2-222-22-22-2−2i−2i2i2i00−2i2i22-2-20000000000−2i2i22−2−2−i2−i2i2i222−2−2−i2−i2i2i20000000000000000
χ3422-2-2-222-22-22-2−2i−2i2i2i00−2i2i22-2-20000000000−2i2i−2−222i2i2−i2−i2−2−222i2i2−i2−i20000000000000000
χ3522-2-2-222-22-22-2−2i−2i2i2i00−2i2i-2-22200000000002i−2i22−2−2−i2−i2i2i2−2−222i2i2−i2−i20000000000000000
χ3622-2-2-222-22-22-2−2i−2i2i2i00−2i2i-2-22200000000002i−2i−2−222i2i2−i2−i222−2−2−i2−i2i2i20000000000000000
χ372-22-2-2-22222-2-2000000002i−2i2i−2i2-22-2002i−2i00002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-22-2-2-22222-2-2000000002i−2i2i−2i2-22-2002i−2i0000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-22-2-2-22222-2-2000000002i−2i2i−2i-22-2200−2i2i00002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ402-22-2-2-22222-2-2000000002i−2i2i−2i-22-2200−2i2i0000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ412-22-2-2-22222-2-200000000−2i2i−2i2i2-22-200−2i2i00002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ422-22-2-2-22222-2-200000000−2i2i−2i2i2-22-200−2i2i0000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ432-22-2-2-22222-2-200000000−2i2i−2i2i-22-22002i−2i00002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-22-2-2-22222-2-200000000−2i2i−2i2i-22-22002i−2i0000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ452-2-222-22-22-2-2200002-2002i−2i−2i2i0000-22002i−2i0000002i−2i−2i2i0000-222-20000000000000000
χ462-2-222-22-22-2-2200002-2002i−2i−2i2i0000-22002i−2i000000−2i2i2i−2i00002-2-220000000000000000
χ472-2-222-22-22-2-2200002-200−2i2i2i−2i0000-2200−2i2i0000002i−2i−2i2i00002-2-220000000000000000
χ482-2-222-22-22-2-2200002-200−2i2i2i−2i0000-2200−2i2i000000−2i2i2i−2i0000-222-20000000000000000
χ492-2-222-22-22-2-220000-22002i−2i−2i2i00002-200−2i2i002-2-2200002i−2i−2i2i00000000000000000000
χ502-2-222-22-22-2-220000-22002i−2i−2i2i00002-200−2i2i00-222-20000−2i2i2i−2i00000000000000000000
χ512-2-222-22-22-2-220000-2200−2i2i2i−2i00002-2002i−2i002-2-220000−2i2i2i−2i00000000000000000000
χ522-2-222-22-22-2-220000-2200−2i2i2i−2i00002-2002i−2i00-222-200002i−2i−2i2i00000000000000000000
χ534444-4-4-4-400004-44-40000000000000000000000000000000000000000000000002-22-2
χ544444-4-4-4-400004-44-4000000000000000000000000000000000000000000000000-22-22
χ554444-4-4-4-40000-44-440000000000000000000000000000000000000000000000002-2-22
χ564444-4-4-4-40000-44-44000000000000000000000000000000000000000000000000-222-2
χ5744-4-44-4-4400004i−4i−4i4i00000000000000000000000000000000000000000002i−2i02-20000
χ5844-4-44-4-4400004i−4i−4i4i0000000000000000000000000000000000000000000−2i2i0-220000
χ5944-4-44-4-440000−4i4i4i−4i00000000000000000000000000000000000000000002i−2i0-220000
χ6044-4-44-4-440000−4i4i4i−4i0000000000000000000000000000000000000000000−2i2i02-20000
χ6144-4-4-444-4-44-444i4i−4i−4i00−4i4i000000000000000000000000000000000000000000000000
χ6244-4-4-444-4-44-44−4i−4i4i4i004i−4i000000000000000000000000000000000000000000000000
χ634-44-4-4-444-4-4440000000000004-4-440000000000000000000000000000000000000000
χ644-44-4-4-444-4-444000000000000-444-40000000000000000000000000000000000000000
χ654-4-444-44-4-444-40000440000000000-4-400000000000000000000000000000000000000
χ664-4-444-44-4-444-40000-4-400000000004400000000000000000000000000000000000000
χ678-88-888-8-8000000000000000000000000000000000000000000000000000000000000
χ688-8-88-88-88000000000000000000000000000000000000000000000000000000000000

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