Finite Group Databasebeta

← Group #277488

Character table — Group #277488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888822224444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-111111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-111
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1111111-1-1
χ111111111111111111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-1111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1111-1-1-1-1111-1
χ172222222222-2-22-2-222222-2-200000000-2-2220000-2-22200000000-2-20000000000000000
χ182222222222-2-22-2-222222-2-200000000-2-2-2-2000022-2-200000000220000000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000000022220000-2-2-2-200000000220000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000000022-2-20000222200000000-2-20000000000000000
χ2122222222-2-222-222-20000-2-22222-2-2-2-200002222000000000000000000-200-200000000
χ2222222222-2-222-222-20000-2-22222-2-2-2-20000-2-2-2-2000000000000000000200200000000
χ2322222222-2-222-222-20000-2-2-2-2-2-22222000022-2-2000000000000000000-200200000000
χ2422222222-2-222-222-20000-2-2-2-2-2-222220000-2-222000000000000000000200-200000000
χ252222-2-2-2-22-200-20022i2i−2i−2i0022−2−222−2−2000000002i−2i00i2i2−i2−i2i2i2−i2−i22-222−2−2000000000000
χ262222-2-2-2-22-200-20022i2i−2i−2i0022−2−222−2−200000000−2i2i00i2i2−i2−i2−i2−i2i2i2-22−2−222000000000000
χ272222-2-2-2-22-200-20022i2i−2i−2i00−2−222−2−222000000002i−2i00−i2−i2i2i2−i2−i2i2i22-2−2−222000000000000
χ282222-2-2-2-22-200-20022i2i−2i−2i00−2−222−2−22200000000−2i2i00−i2−i2i2i2i2i2−i2−i2-2222−2−2000000000000
χ292222-2-2-2-22-200-2002−2i−2i2i2i0022−2−222−2−2000000002i−2i00−i2−i2i2i2i2i2−i2−i2-22−2−222000000000000
χ302222-2-2-2-22-200-2002−2i−2i2i2i0022−2−222−2−200000000−2i2i00−i2−i2i2i2−i2−i2i2i22-222−2−2000000000000
χ312222-2-2-2-22-200-2002−2i−2i2i2i00−2−222−2−222000000002i−2i00i2i2−i2−i2−i2−i2i2i2-2222−2−2000000000000
χ322222-2-2-2-22-200-2002−2i−2i2i2i00−2−222−2−22200000000−2i2i00i2i2−i2−i2i2i2−i2−i22-2−2−222000000000000
χ3322-2-222-2-2-2200-20022i−2i2i−2i002−22−22−22−2002-20000002i−2ii2−i2i2−i22−22−200i2−i2i2−i2000000000000
χ3422-2-222-2-2-2200-20022i−2i2i−2i002−22−22−22−200-22000000−2i2ii2−i2i2−i2−22−2200−i2i2−i2i2000000000000
χ3522-2-222-2-2-2200-20022i−2i2i−2i00−22−22−22−22002-20000002i−2i−i2i2−i2i2−22−2200−i2i2−i2i2000000000000
χ3622-2-222-2-2-2200-20022i−2i2i−2i00−22−22−22−2200-22000000−2i2i−i2i2−i2i22−22−200i2−i2i2−i2000000000000
χ3722-2-222-2-2-2200-2002−2i2i−2i2i002−22−22−22−2002-2000000−2i2i−i2i2−i2i22−22−200−i2i2−i2i2000000000000
χ3822-2-222-2-2-2200-2002−2i2i−2i2i002−22−22−22−200-220000002i−2i−i2i2−i2i2−22−2200i2−i2i2−i2000000000000
χ3922-2-222-2-2-2200-2002−2i2i−2i2i00−22−22−22−22002-2000000−2i2ii2−i2i2−i2−22−2200i2−i2i2−i2000000000000
χ4022-2-222-2-2-2200-2002−2i2i−2i2i00−22−22−22−2200-220000002i−2ii2−i2i2−i22−22−200−i2i2−i2i2000000000000
χ4122-2-2-2-22222-2-2-222-200002-22-2-22-222-20000000000000000000000000002i−2i02i−2i000000
χ4222-2-2-2-22222-2-2-222-200002-22-2-22-222-2000000000000000000000000000−2i2i0−2i2i000000
χ4322-2-2-2-22222-2-2-222-200002-2-222-22-2-220000000000000000000000000002i−2i0−2i2i000000
χ4422-2-2-2-22222-2-2-222-200002-2-222-22-2-22000000000000000000000000000−2i2i02i−2i000000
χ4522-2-2-2-222-2-2222-2-222-2-222-2000000002-2000000000000002i−2i−2i2i00−2i2i2i−2i000000000000
χ4622-2-2-2-222-2-2222-2-222-2-222-2000000002-200000000000000−2i2i2i−2i002i−2i−2i2i000000000000
χ4722-2-2-2-222-2-2222-2-22-222-22-200000000-22000000000000002i−2i−2i2i002i−2i−2i2i000000000000
χ4822-2-2-2-222-2-2222-2-22-222-22-200000000-2200000000000000−2i2i2i−2i00−2i2i2i−2i000000000000
χ4922-2-2-2-222-2-2-2-222222-2-22-222-2-222-2-22-2200000000002-2-220000000000000000000000
χ5022-2-2-2-222-2-2-2-222222-2-22-22-222-2-222-2-220000000000-222-20000000000000000000000
χ5122-2-2-2-222-2-2-2-22222-222-2-222-2-222-2-222-20000000000-222-20000000000000000000000
χ5222-2-2-2-222-2-2-2-22222-222-2-22-222-2-222-22-200000000002-2-220000000000000000000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4400400-40000002222−22−22−22−22222200000000000000000000000000000000000000
χ554444-4-4-4-4-4400400-4000000−22−2222222222−22−2200000000000000000000000000000000000000
χ5644-4-444-4-44-400400-400000022−2222−22−2222−222200000000000000000000000000000000000000
χ5744-4-444-4-44-400400-4000000−2222−222222−2222−2200000000000000000000000000000000000000
χ5844-4-4-4-4444444-4-4-4-40000-440000000000000000000000000000000000000000000000
χ594-44-44-44-4004-404-400000000000000000000000000000000000000000000000002i2−2i200
χ604-44-44-44-4004-404-40000000000000000000000000000000000000000000000000−2i22i200
χ614-44-44-44-400-440-440000000000000000000004i−4i000000000000000000000000000000
χ624-44-44-44-400-440-44000000000000000000000−4i4i000000000000000000000000000000
χ634-4-44-444-4004-40-4400000000000000000004i−4i00000000000000000000000000000000
χ644-4-44-444-4004-40-440000000000000000000−4i4i00000000000000000000000000000000
χ654-4-44-444-400-4404-4000000000000000000000000000000000000000000000002i2−2i20000
χ664-4-44-444-400-4404-400000000000000000000000000000000000000000000000−2i22i20000
χ678-88-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-8-888-8-88000000000000000000000000000000000000000000000000000000000000

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