Finite Group Databasebeta

← Group #282613

Character table — Group #282613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888882244444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-111-1-11111111111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1
χ91111111111111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-11-1-111-1-111-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1-11111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-11
χ172222222222-2-22-2-222222-20000-20000222200-2-2002200-2-2000000000000000-2000000000
χ182222222222-2-22-2-222222-20000-20000-2-2-2-200-2-200-2-200220000000000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-20000-200002222002200-2-200-2-20000000000000002000000000
χ202222222222-2-22-2-22-2-2-2-2-20000-20000-2-2-2-2002200220022000000000000000-2000000000
χ2122222222-2-222-222-20000-22222-222220000-2-2002200-2-20000000000000000-20000000000
χ2222222222-2-222-222-20000-22222-2-2-2-2-20000-2-200-2-20022000000000000000020000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-2222200002200-2-200-2-2000000000000000020000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-2-2-2000022002200220000000000000000-20000000000
χ2522-2-22-22-2002-202-20000002i2i−2i−2i02i2i−2i−2ii2i2−i2−i200002-20000i2−i2000022−2−222−2−20000000000i2−i20
χ2622-2-22-22-2002-202-20000002i2i−2i−2i02i2i−2i−2i−i2−i2i2i200002-20000−i2i20000−2−222−2−2220000000000−i2i20
χ2722-2-22-22-2002-202-20000002i2i−2i−2i0−2i−2i2i2ii2i2−i2−i20000-220000i2−i2000022−2−2−2−2220000000000−i2i20
χ2822-2-22-22-2002-202-20000002i2i−2i−2i0−2i−2i2i2i−i2−i2i2i20000-220000−i2i20000−2−22222−2−20000000000i2−i20
χ2922-2-22-22-2002-202-2000000−2i−2i2i2i02i2i−2i−2ii2i2−i2−i20000-220000i2−i20000−2−22222−2−20000000000−i2i20
χ3022-2-22-22-2002-202-2000000−2i−2i2i2i02i2i−2i−2i−i2−i2i2i20000-220000−i2i2000022−2−2−2−2220000000000i2−i20
χ3122-2-22-22-2002-202-2000000−2i−2i2i2i0−2i−2i2i2ii2i2−i2−i200002-20000i2−i20000−2−222−2−2220000000000i2−i20
χ3222-2-22-22-2002-202-2000000−2i−2i2i2i0−2i−2i2i2i−i2−i2i2i200002-20000−i2i2000022−2−222−2−20000000000−i2i20
χ332-22-22-2-222-200200-22i2i−2i−2i0000002−22−22i−2i2i−2i0000002-22−200i2i2−i2−i20000i2−i2i2−i2000000002−2000
χ342-22-22-2-222-200200-22i2i−2i−2i0000002−22−2−2i2i−2i2i000000-222−200i2i2−i2−i20000−i2i2−i2i200000000−22000
χ352-22-22-2-222-200200-22i2i−2i−2i000000−22−222i−2i2i−2i0000002-2−2200−i2−i2i2i20000−i2i2−i2i200000000−22000
χ362-22-22-2-222-200200-22i2i−2i−2i000000−22−22−2i2i−2i2i000000-22−2200−i2−i2i2i20000i2−i2i2−i2000000002−2000
χ372-22-22-2-222-200200-2−2i−2i2i2i0000002−22−22i−2i2i−2i000000-222−200−i2−i2i2i20000i2−i2i2−i200000000−22000
χ382-22-22-2-222-200200-2−2i−2i2i2i0000002−22−2−2i2i−2i2i0000002-22−200−i2−i2i2i20000−i2i2−i2i2000000002−2000
χ392-22-22-2-222-200200-2−2i−2i2i2i000000−22−222i−2i2i−2i000000-22−2200i2i2−i2−i20000−i2i2−i2i2000000002−2000
χ402-22-22-2-222-200200-2−2i−2i2i2i000000−22−22−2i2i−2i2i0000002-2−2200i2i2−i2−i20000i2−i2i2−i200000000−22000
χ412-2-22-2-2222222-2-2-2-22i−2i2i−2i-20000200000000002i−2i0000000000002i−2i2i−2i00002-200000000000
χ422-2-22-2-2222222-2-2-2-22i−2i2i−2i-20000200000000002i−2i000000000000−2i2i−2i2i0000-2200000000000
χ432-2-22-2-2222222-2-2-2-2−2i2i−2i2i-2000020000000000−2i2i0000000000002i−2i2i−2i0000-2200000000000
χ442-2-22-2-2222222-2-2-2-2−2i2i−2i2i-2000020000000000−2i2i000000000000−2i2i−2i2i00002-200000000000
χ452-2-22-2-22222-2-2-222-22i−2i2i−2i22-22-2-2000000002-2−2i2i0000000000000000000000002i−2i0000000
χ462-2-22-2-22222-2-2-222-22i−2i2i−2i2-22-22-200000000-22−2i2i000000000000000000000000−2i2i0000000
χ472-2-22-2-22222-2-2-222-2−2i2i−2i2i22-22-2-2000000002-22i−2i000000000000000000000000−2i2i0000000
χ482-2-22-2-22222-2-2-222-2−2i2i−2i2i2-22-22-200000000-222i−2i0000000000000000000000002i−2i0000000
χ492-2-22-2-222-2-2-2-222220000-22-22-2200000000-2200000000002-22-2000000000000002-200000
χ502-2-22-2-222-2-2-2-222220000-22-22-2200000000-220000000000-22-2200000000000000-2200000
χ512-2-22-2-222-2-2-2-222220000-2-22-222000000002-200000000002-22-200000000000000-2200000
χ522-2-22-2-222-2-2-2-222220000-2-22-222000000002-20000000000-22-22000000000000002-200000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ5444-4-44-44-400-440-440000000000000002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ5544-4-44-44-400-440-44000000000000000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ5644-4-4-44-444-400-40044-4-44000000000000000000000000000000000000000000000000000
χ5744-4-4-44-444-400-4004-444-4000000000000000000000000000000000000000000000000000
χ5844-4-4-44-44-4400400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5944-4-4-44-44-4400400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ604-44-44-4-44-4400-4004000000000022−2222−22000000000000−2222000000000000000000000000000
χ614-44-44-4-44-4400-40040000000000−2222−222200000000000022−22000000000000000000000000000
χ624-44-4-444-4004-40-44000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ634-44-4-444-4004-40-4400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ644-44-4-444-400-4404-40000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ654-44-4-444-400-4404-4000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ664-4-4444-4-40000000000000000002i2−2i2−2i22i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ674-4-4444-4-40000000000000000002i2−2i2−2i22i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ684-4-4444-4-4000000000000000000−2i22i22i2−2i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ694-4-4444-4-4000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ704-4-44-4-444-4-4444-4-44000040000-4000000000000000000000000000000000000000000000
χ718888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000

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