Finite Group Databasebeta

← Group #282663

Character table — Group #282663

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222444444888888884444444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111
χ511111111111111111111-1-1-1-1111111111111-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1111
χ711111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1111111-1-1-1-111111111-1-1-11-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-11111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1111111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11
χ17222222222-2-222-2-2222220000-2-2222200002200-2-200-2-200000000000000-2000000000000
χ18222222222-2-222-2-2222220000-2-2-2-2-2-20000-2-200-2-20022000000000000002000000000000
χ19222222222-2-222-2-22-2-2-2-20000-2-222220000-2-2002200-2-2000000000000002000000000000
χ20222222222-2-222-2-22-2-2-2-20000-2-2-2-2-2-20000220022002200000000000000-2000000000000
χ2122222222-222-2-222-200002222-2-20000222200-2-2002200-2-2000000000000000-2000000000
χ2222222222-222-2-222-200002222-2-20000-2-2-2-200-2-200-2-200220000000000000002000000000
χ2322222222-222-2-222-20000-2-2-2-2-2-200002222002200-2-200-2-20000000000000002000000000
χ2422222222-222-2-222-20000-2-2-2-2-2-20000-2-2-2-2002200220022000000000000000-2000000000
χ252222-2-2-2-22002-200-222-2-200000022-2-222−2−22-2000000002−222−2−2000022−2−2000000002−2000
χ262222-2-2-2-22002-200-222-2-200000022-2-2−2−2222-200000000−22−2−2220000−2−22200000000−22000
χ272222-2-2-2-22002-200-222-2-2000000-2-22222−2−2-22000000002−222−2−20000−2−22200000000−22000
χ282222-2-2-2-22002-200-222-2-2000000-2-222−2−222-2200000000−22−2−222000022−2−2000000002−2000
χ292222-2-2-2-22002-200-2-2-22200000022-2-222−2−2-22000000002−2−2−222000022−2−200000000−22000
χ302222-2-2-2-22002-200-2-2-22200000022-2-2−2−222-2200000000−2222−2−20000−2−222000000002−2000
χ312222-2-2-2-22002-200-2-2-222000000-2-22222−2−22-2000000002−2−2−2220000−2−222000000002−2000
χ322222-2-2-2-22002-200-2-2-222000000-2-222−2−2222-200000000−2222−2−2000022−2−200000000−22000
χ3322-2-2-222-202-2002-20000022-2-200i2−i2i2−i22i−2i2i−2i0000002i−2ii2−i2000000i2i2−i2−i22−22−200000000002−20
χ3422-2-2-222-202-2002-20000022-2-200i2−i2i2−i2−2i2i−2i2i000000−2i2ii2−i2000000i2i2−i2−i2−22−220000000000−220
χ3522-2-2-222-202-2002-20000022-2-200−i2i2−i2i22i−2i2i−2i0000002i−2i−i2i2000000−i2−i2i2i2−22−220000000000−220
χ3622-2-2-222-202-2002-20000022-2-200−i2i2−i2i2−2i2i−2i2i000000−2i2i−i2i2000000−i2−i2i2i22−22−200000000002−20
χ3722-2-2-222-202-2002-200000-2-22200i2−i2i2−i22i−2i2i−2i000000−2i2ii2−i2000000−i2−i2i2i22−22−20000000000−220
χ3822-2-2-222-202-2002-200000-2-22200i2−i2i2−i2−2i2i−2i2i0000002i−2ii2−i2000000−i2−i2i2i2−22−2200000000002−20
χ3922-2-2-222-202-2002-200000-2-22200−i2i2−i2i22i−2i2i−2i000000−2i2i−i2i2000000i2i2−i2−i2−22−2200000000002−20
χ4022-2-2-222-202-2002-200000-2-22200−i2i2−i2i2−2i2i−2i2i0000002i−2i−i2i2000000i2i2−i2−i22−22−20000000000−220
χ412-22-2-2-222222-2-2-2-222-22-22i−2i2i−2i2-200000000002i−2i2-200000000000000000002i−2i0000000000
χ422-22-2-2-222222-2-2-2-222-22-2−2i2i−2i2i2-20000000000−2i2i2-20000000000000000000−2i2i0000000000
χ432-22-2-2-222222-2-2-2-22-22-222i−2i2i−2i2-200000000002i−2i-220000000000000000000−2i2i0000000000
χ442-22-2-2-222222-2-2-2-22-22-22−2i2i−2i2i2-20000000000−2i2i-2200000000000000000002i−2i0000000000
χ452-22-2-2-2222-2-2-2-22222-22-20000-22000000000000-2200000000002-22-2000000002-20000000
χ462-22-2-2-2222-2-2-2-22222-22-20000-22000000000000-220000000000-22-2200000000-220000000
χ472-22-2-2-2222-2-2-2-2222-22-220000-220000000000002-200000000002-22-200000000-220000000
χ482-22-2-2-2222-2-2-2-2222-22-220000-220000000000002-20000000000-22-22000000002-20000000
χ492-22-2-2-222-22222-2-2-200002i−2i2i−2i-220000000000−2i2i000000002i−2i2i−2i000000000000002-200000
χ502-22-2-2-222-22222-2-2-200002i−2i2i−2i-220000000000−2i2i00000000−2i2i−2i2i00000000000000-2200000
χ512-22-2-2-222-22222-2-2-20000−2i2i−2i2i-2200000000002i−2i000000002i−2i2i−2i00000000000000-2200000
χ522-22-2-2-222-22222-2-2-20000−2i2i−2i2i-2200000000002i−2i00000000−2i2i−2i2i000000000000002-200000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000
χ544444-4-4-4-4-400-44004000000000000002222−22−220000000000−22220000000000000000000000000
χ554444-4-4-4-4-400-4400400000000000000−22−222222000000000022−220000000000000000000000000
χ5644-4-44-4-440000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002-2-220000000000000
χ5744-4-44-4-440000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000-222-20000000000000
χ5844-4-44-4-44000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000-222-20000000000000
χ5944-4-44-4-44000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000002-2-220000000000000
χ6044-4-4-444-40-4400-44000000000002i2−2i22i2−2i2000000000000−2i22i2000000000000000000000000000
χ6144-4-4-444-40-4400-4400000000000−2i22i2−2i22i20000000000002i2−2i2000000000000000000000000000
χ624-44-444-4-4400-4400-44-4-44000000000000000000000000000000000000000000000000000
χ634-44-444-4-4400-4400-4-444-4000000000000000000000000000000000000000000000000000
χ644-44-444-4-4-4004-40040000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ654-44-444-4-4-4004-4004000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ664-44-4-4-444-4-4-44444-4000000004-4000000000000000000000000000000000000000000000
χ674-4-444-44-404-400-44000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ684-4-444-44-404-400-4400000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ694-4-444-44-40-44004-4000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ704-4-444-44-40-44004-400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ718-8-88-88-88000000000000000000000000000000000000000000000000000000000000000

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