Finite Group Databasebeta

← Group #279999

Character table — Group #279999

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222444444888888884444444488888888888888882244444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111
χ5111111111111111111111-1-1-1-1111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111111-1-111-1-1-1
χ91111111111111111-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-11111-11-1-1-1-1-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-111-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-1111111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11
χ172222222222-2-22-2-220000-22222-200002222-2-200002200-2-20000000000000-200000000000
χ182222222222-2-22-2-220000-22222-20000-2-2-2-2-2-20000-2-200220000000000000200000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-200002222220000-2-200-2-20000000000000200000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-20000-2-2-2-22200002200220000000000000-200000000000
χ2122222222-2-222-222-22222-20000-22222000000-2-22200-2-200000000000000-2000000000000
χ2222222222-2-222-222-22222-20000-2-2-2-2-2000000-2-2-2-20022000000000000002000000000000
χ2322222222-2-222-222-2-2-2-2-2-20000-2222200000022-2-200-2-2000000000000002000000000000
χ2422222222-2-222-222-2-2-2-2-2-20000-2-2-2-2-20000002222002200000000000000-2000000000000
χ2522-22-22-2-2-2-2002002000002i2i−2i−2i022−2−222-2-20000002i−2i2−200i2i2−i2−i2000022−2−20000000000i2−i20
χ2622-22-22-2-2-2-2002002000002i2i−2i−2i022−2−2-2-222000000−2i2i2−200i2i2−i2−i20000−2−2220000000000−i2i20
χ2722-22-22-2-2-2-2002002000002i2i−2i−2i0−2−22222-2-20000002i−2i−2200−i2−i2i2i20000−2−2220000000000−i2i20
χ2822-22-22-2-2-2-2002002000002i2i−2i−2i0−2−222-2-222000000−2i2i−2200−i2−i2i2i2000022−2−20000000000i2−i20
χ2922-22-22-2-2-2-200200200000−2i−2i2i2i022−2−222-2-2000000−2i2i2−200−i2−i2i2i2000022−2−20000000000−i2i20
χ3022-22-22-2-2-2-200200200000−2i−2i2i2i022−2−2-2-2220000002i−2i2−200−i2−i2i2i20000−2−2220000000000i2−i20
χ3122-22-22-2-2-2-200200200000−2i−2i2i2i0−2−22222-2-2000000−2i2i−2200i2i2−i2−i20000−2−2220000000000i2−i20
χ3222-22-22-2-2-2-200200200000−2i−2i2i2i0−2−222-2-2220000002i−2i−2200i2i2−i2−i2000022−2−20000000000−i2i20
χ3322-2-22-22-2002-202-2022-2-20000002i−2i2i−2ii2−i2i2−i200002i−2i0000i2−i20000i2i2−i2−i22−22−2000000002−2000
χ3422-2-22-22-2002-202-2022-2-20000002i−2i2i−2i−i2i2−i2i200002i−2i0000−i2i20000−i2−i2i2i2−22−2200000000−22000
χ3522-2-22-22-2002-202-2022-2-2000000−2i2i−2i2ii2−i2i2−i20000−2i2i0000i2−i20000i2i2−i2−i2−22−2200000000−22000
χ3622-2-22-22-2002-202-2022-2-2000000−2i2i−2i2i−i2i2−i2i20000−2i2i0000−i2i20000−i2−i2i2i22−22−2000000002−2000
χ3722-2-22-22-2002-202-20-2-2220000002i−2i2i−2ii2−i2i2−i20000−2i2i0000i2−i20000−i2−i2i2i22−22−200000000−22000
χ3822-2-22-22-2002-202-20-2-2220000002i−2i2i−2i−i2i2−i2i20000−2i2i0000−i2i20000i2i2−i2−i2−22−22000000002−2000
χ3922-2-22-22-2002-202-20-2-222000000−2i2i−2i2ii2−i2i2−i200002i−2i0000i2−i20000−i2−i2i2i2−22−22000000002−2000
χ4022-2-22-22-2002-202-20-2-222000000−2i2i−2i2i−i2i2−i2i200002i−2i0000−i2i20000i2i2−i2−i22−22−200000000−22000
χ412-22-2-222-22-2222-2-2-22-22-2-22i−2i2i−2i2000000002i−2i2-2000000000000000000000000002i−2i00000
χ422-22-2-222-22-2222-2-2-22-22-2-2−2i2i−2i2i200000000−2i2i2-200000000000000000000000000−2i2i00000
χ432-22-2-222-22-2222-2-2-2-22-22-22i−2i2i−2i2000000002i−2i-2200000000000000000000000000−2i2i00000
χ442-22-2-222-22-2222-2-2-2-22-22-2−2i2i−2i2i200000000−2i2i-22000000000000000000000000002i−2i00000
χ452-22-2-222-22-2-2-2222-2000022i−2i2i−2i-200000000−2i2i000000000000002i−2i2i−2i000000002-20000000
χ462-22-2-222-22-2-2-2222-2000022i−2i2i−2i-200000000−2i2i00000000000000−2i2i−2i2i00000000-220000000
χ472-22-2-222-22-2-2-2222-200002−2i2i−2i2i-2000000002i−2i000000000000002i−2i2i−2i00000000-220000000
χ482-22-2-222-22-2-2-2222-200002−2i2i−2i2i-2000000002i−2i00000000000000−2i2i−2i2i000000002-20000000
χ492-22-2-222-2-2222-2-2-222-22-220000-20000000000-22000000002i−2i2i−2i00000000002i−2i000000000
χ502-22-2-222-2-2222-2-2-222-22-220000-20000000000-2200000000−2i2i−2i2i0000000000−2i2i000000000
χ512-22-2-222-2-2222-2-2-22-22-2220000-200000000002-2000000002i−2i2i−2i0000000000−2i2i000000000
χ522-22-2-222-2-2222-2-2-22-22-2220000-200000000002-200000000−2i2i−2i2i00000000002i−2i000000000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ54444-4-4-4-440000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002-2-220000000000000
χ55444-4-4-4-440000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000-222-20000000000000
χ56444-4-4-4-44000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000-222-20000000000000
χ57444-4-4-4-44000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000002-2-220000000000000
χ5844-44-44-4-44400-400-400000000002222−22−22000000000000−2222000000000000000000000000000
χ5944-44-44-4-44400-400-40000000000−22−22222200000000000022−22000000000000000000000000000
χ6044-4-44-44-400-440-440000000000000002i2−2i22i2−2i20000000000−2i22i20000000000000000000000000
χ6144-4-44-44-400-440-44000000000000000−2i22i2−2i22i200000000002i2−2i20000000000000000000000000
χ624-44-4-444-4-44-4-4-44440000-400004000000000000000000000000000000000000000000000
χ634-4-44-4-444004-40-4404-4-44000000000000000000000000000000000000000000000000000
χ644-4-44-4-444004-40-440-444-4000000000000000000000000000000000000000000000000000
χ654-4-44-4-44400-4404-40000000000000000000000000000000000022−22−222200000000000000000
χ664-4-44-4-44400-4404-400000000000000000000000000000000000−222222−2200000000000000000
χ674-4-4-444-444-400-400400000000000000000000000000000022−22−2222000000000000000000000
χ684-4-4-444-444-400-4004000000000000000000000000000000−222222−22000000000000000000000
χ694-4-4-444-44-4400400-4000004-4-440000000000000000000000000000000000000000000000
χ704-4-4-444-44-4400400-400000-444-40000000000000000000000000000000000000000000000
χ718-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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