Finite Group Databasebeta

← Group #280021

Character table — Group #280021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888882244444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-111-1
χ91111111111111111-1-1-1-11111111111111111-1-111-1-111111111-1-1-1-11111-1-11-1-1-1-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111111-1-1-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1
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
χ17222222222-222-2-2-220000-22222-222220000-2-2002200-2-20000000000000000-20000000000
χ18222222222-222-2-2-220000-22222-2-2-2-2-20000-2-200-2-20022000000000000000020000000000
χ19222222222-222-2-2-220000-2-2-2-2-2-2222200002200-2-200-2-2000000000000000020000000000
χ20222222222-222-2-2-220000-2-2-2-2-2-2-2-2-2-2000022002200220000000000000000-20000000000
χ2122222222-22-2-2222-22222-20000-20000222200-2-2002200-2-200000000000000000-20000000
χ2222222222-22-2-2222-22222-20000-20000-2-2-2-200-2-200-2-200220000000000000000020000000
χ2322222222-22-2-2222-2-2-2-2-2-20000-200002222002200-2-200-2-20000000000000000020000000
χ2422222222-22-2-2222-2-2-2-2-2-20000-20000-2-2-2-200220022002200000000000000000-20000000
χ2522-2-222-2-20200-2-22022-2-2000000i2i2−i2−i222-2-20000002-2i2−i2000000i2i2−i2−i2i2i2−i2−i20000000000i2−i20
χ2622-2-222-2-20200-2-22022-2-2000000i2i2−i2−i2-2-222000000-22i2−i2000000i2i2−i2−i2−i2−i2i2i20000000000−i2i20
χ2722-2-222-2-20200-2-22022-2-2000000−i2−i2i2i222-2-20000002-2−i2i2000000−i2−i2i2i2−i2−i2i2i20000000000−i2i20
χ2822-2-222-2-20200-2-22022-2-2000000−i2−i2i2i2-2-222000000-22−i2i2000000−i2−i2i2i2i2i2−i2−i20000000000i2−i20
χ2922-2-222-2-20200-2-220-2-222000000i2i2−i2−i222-2-2000000-22i2−i2000000−i2−i2i2i2i2i2−i2−i20000000000−i2i20
χ3022-2-222-2-20200-2-220-2-222000000i2i2−i2−i2-2-2220000002-2i2−i2000000−i2−i2i2i2−i2−i2i2i20000000000i2−i20
χ3122-2-222-2-20200-2-220-2-222000000−i2−i2i2i222-2-2000000-22−i2i2000000i2i2−i2−i2−i2−i2i2i20000000000i2−i20
χ3222-2-222-2-20200-2-220-2-222000000−i2−i2i2i2-2-2220000002-2−i2i2000000i2i2−i2−i2i2i2−i2−i20000000000−i2i20
χ332-2-222-2-22202-2000-2000002i2i−2i−2i02-22-22−22−200002i−2i00002−2i2i2−i2−i200002−22−200000000i2−i2000
χ342-2-222-2-22202-2000-2000002i2i−2i−2i02-22-2−22−2200002i−2i0000−22−i2−i2i2i20000−22−2200000000−i2i2000
χ352-2-222-2-22202-2000-2000002i2i−2i−2i0-22-222−22−20000−2i2i00002−2i2i2−i2−i20000−22−2200000000−i2i2000
χ362-2-222-2-22202-2000-2000002i2i−2i−2i0-22-22−22−220000−2i2i0000−22−i2−i2i2i200002−22−200000000i2−i2000
χ372-2-222-2-22202-2000-200000−2i−2i2i2i02-22-22−22−20000−2i2i00002−2−i2−i2i2i200002−22−200000000−i2i2000
χ382-2-222-2-22202-2000-200000−2i−2i2i2i02-22-2−22−220000−2i2i0000−22i2i2−i2−i20000−22−2200000000i2−i2000
χ392-2-222-2-22202-2000-200000−2i−2i2i2i0-22-222−22−200002i−2i00002−2−i2−i2i2i20000−22−2200000000i2−i2000
χ402-2-222-2-22202-2000-200000−2i−2i2i2i0-22-22−22−2200002i−2i0000−22i2i2−i2−i200002−22−200000000−i2i2000
χ412-2-22-222-222-2-2-22-222i−2i2i−2i20000-200000000002i−2i000000002i−2i2i−2i000000002-200000000000
χ422-2-22-222-222-2-2-22-222i−2i2i−2i20000-200000000002i−2i00000000−2i2i−2i2i00000000-2200000000000
χ432-2-22-222-222-2-2-22-22−2i2i−2i2i20000-20000000000−2i2i000000002i−2i2i−2i00000000-2200000000000
χ442-2-22-222-222-2-2-22-22−2i2i−2i2i20000-20000000000−2i2i00000000−2i2i−2i2i000000002-200000000000
χ452-2-22-222-2-2222-22-2-22i−2i2i−2i-22-22-22000000002-2−2i2i000000000000000000000002i−2i00000000
χ462-2-22-222-2-2222-22-2-22i−2i2i−2i-2-22-22200000000-22−2i2i00000000000000000000000−2i2i00000000
χ472-2-22-222-2-2222-22-2-2−2i2i−2i2i-22-22-22000000002-22i−2i00000000000000000000000−2i2i00000000
χ482-2-22-222-2-2222-22-2-2−2i2i−2i2i-2-22-22200000000-222i−2i000000000000000000000002i−2i00000000
χ492-2-22-222-2-2-2222-22-2000022-22-2-200000000-22000000000000002i−2i2i−2i00000000002i−2i00000
χ502-2-22-222-2-2-2222-22-2000022-22-2-200000000-2200000000000000−2i2i−2i2i0000000000−2i2i00000
χ512-2-22-222-2-2-2222-22-200002-22-22-2000000002-2000000000000002i−2i2i−2i0000000000−2i2i00000
χ522-2-22-222-2-2-2222-22-200002-22-22-2000000002-200000000000000−2i2i−2i2i00000000002i−2i00000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ544444-4-4-4-440-44000-400000000000000000000000000000022−22−2222000000000000000000000
χ554444-4-4-4-440-44000-4000000000000000000000000000000−222222−22000000000000000000000
χ564444-4-4-4-4-404-40004000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ574444-4-4-4-4-404-4000400000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5844-4-444-4-40-40044-4000000000002i22i2−2i2−2i2000000000000−2i22i2000000000000000000000000000
χ5944-4-444-4-40-40044-400000000000−2i2−2i22i22i20000000000002i2−2i2000000000000000000000000000
χ604-44-44-44-40000000000000000002i2−2i2−2i22i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ614-44-44-44-40000000000000000002i2−2i2−2i22i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ624-44-44-44-4000000000000000000−2i22i22i2−2i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ634-44-44-44-4000000000000000000−2i22i22i2−2i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ644-44-4-44-4404004-4-404i−4i−4i4i000000000000000000000000000000000000000000000000000
χ654-44-4-44-4404004-4-40−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ664-44-4-44-440-400-4440000000000000000000000000000000000022−22−222200000000000000000
χ674-44-4-44-440-400-44400000000000000000000000000000000000−222222−2200000000000000000
χ684-4-444-4-44-40-4400040000000000000022−2222−220000000000−22220000000000000000000000000
χ694-4-444-4-44-40-44000400000000000000−2222−2222000000000022−220000000000000000000000000
χ704-4-44-444-44-4-4-44-4440000-400004000000000000000000000000000000000000000000000
χ7188-8-8-8-888000000000000000000000000000000000000000000000000000000000000000

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