Finite Group Databasebeta

← Group #280059

Character table — Group #280059

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222444444888888882244444488888888888888882244444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111
χ5111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-1-1
χ91111111111111111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11
χ111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-111-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11111111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11
χ172222222222-2-22-2-220000-22222-20000222222-2-2000000-2-200000000000000000-20000000
χ182222222222-2-22-2-220000-22222-20000-2-2-2-2-2-2-2-2000000220000000000000000020000000
χ192222222222-2-22-2-220000-2-2-2-2-2-200002222-2-222000000-2-20000000000000000020000000
χ202222222222-2-22-2-220000-2-2-2-2-2-20000-2-2-2-222220000002200000000000000000-20000000
χ2122222222-2-222-222-22222-20000-2222200000000-2-222-2-2000000000000000000-200000000
χ2222222222-2-222-222-22222-20000-2-2-2-2-200000000-2-2-2-222000000000000000000200000000
χ2322222222-2-222-222-2-2-2-2-2-20000-222220000000022-2-2-2-2000000000000000000200000000
χ2422222222-2-222-222-2-2-2-2-2-20000-2-2-2-2-200000000222222000000000000000000-200000000
χ2522-2-2-222-2002-202-2022-2-20000002i2i−2i−2ii2i2−i2−i20000002i−2i00i2−i20000i2i2−i2−i222−2−2000000002−2000
χ2622-2-2-222-2002-202-2022-2-20000002i2i−2i−2i−i2−i2i2i20000002i−2i00−i2i20000−i2−i2i2i2−2−22200000000−22000
χ2722-2-2-222-2002-202-2022-2-2000000−2i−2i2i2ii2i2−i2−i2000000−2i2i00i2−i20000i2i2−i2−i2−2−22200000000−22000
χ2822-2-2-222-2002-202-2022-2-2000000−2i−2i2i2i−i2−i2i2i2000000−2i2i00−i2i20000−i2−i2i2i222−2−2000000002−2000
χ2922-2-2-222-2002-202-20-2-2220000002i2i−2i−2ii2i2−i2−i2000000−2i2i00i2−i20000−i2−i2i2i222−2−200000000−22000
χ3022-2-2-222-2002-202-20-2-2220000002i2i−2i−2i−i2−i2i2i2000000−2i2i00−i2i20000i2i2−i2−i2−2−222000000002−2000
χ3122-2-2-222-2002-202-20-2-222000000−2i−2i2i2ii2i2−i2−i20000002i−2i00i2−i20000−i2−i2i2i2−2−222000000002−2000
χ3222-2-2-222-2002-202-20-2-222000000−2i−2i2i2i−i2−i2i2i20000002i−2i00−i2i20000i2i2−i2−i222−2−200000000−22000
χ332-222-22-2-2-2200200-2000002i2i−2i−2i0i2−i2i2−i22i−2i2i−2i2-2000000i2−i20022−2−200002−22−20000000000i2−i20
χ342-222-22-2-2-2200200-2000002i2i−2i−2i0i2−i2i2−i2−2i2i−2i2i-22000000i2−i20022−2−20000−22−220000000000−i2i20
χ352-222-22-2-2-2200200-2000002i2i−2i−2i0−i2i2−i2i22i−2i2i−2i2-2000000−i2i200−2−2220000−22−220000000000−i2i20
χ362-222-22-2-2-2200200-2000002i2i−2i−2i0−i2i2−i2i2−2i2i−2i2i-22000000−i2i200−2−22200002−22−20000000000i2−i20
χ372-222-22-2-2-2200200-200000−2i−2i2i2i0i2−i2i2−i22i−2i2i−2i-22000000i2−i200−2−22200002−22−20000000000−i2i20
χ382-222-22-2-2-2200200-200000−2i−2i2i2i0i2−i2i2−i2−2i2i−2i2i2-2000000i2−i200−2−2220000−22−220000000000i2−i20
χ392-222-22-2-2-2200200-200000−2i−2i2i2i0−i2i2−i2i22i−2i2i−2i-22000000−i2i20022−2−20000−22−220000000000i2−i20
χ402-222-22-2-2-2200200-200000−2i−2i2i2i0−i2i2−i2i2−2i2i−2i2i2-2000000−i2i20022−2−200002−22−20000000000−i2i20
χ412-2-222-22-22-2222-2-2-22-22-2-22i−2i2i−2i200000000002i−2i2-20000000000000000000000002i−2i00000
χ422-2-222-22-22-2222-2-2-22-22-2-2−2i2i−2i2i20000000000−2i2i2-2000000000000000000000000−2i2i00000
χ432-2-222-22-22-2222-2-2-2-22-22-22i−2i2i−2i200000000002i−2i-22000000000000000000000000−2i2i00000
χ442-2-222-22-22-2222-2-2-2-22-22-2−2i2i−2i2i20000000000−2i2i-220000000000000000000000002i−2i00000
χ452-2-222-22-22-2-2-2222-2000022i−2i2i−2i-20000000000−2i2i0000000000002i−2i2i−2i00002-200000000000
χ462-2-222-22-22-2-2-2222-2000022i−2i2i−2i-20000000000−2i2i000000000000−2i2i−2i2i0000-2200000000000
χ472-2-222-22-22-2-2-2222-200002−2i2i−2i2i-200000000002i−2i0000000000002i−2i2i−2i0000-2200000000000
χ482-2-222-22-22-2-2-2222-200002−2i2i−2i2i-200000000002i−2i000000000000−2i2i−2i2i00002-200000000000
χ492-2-222-22-2-2222-2-2-222-22-220000-2000000000000-220000002i−2i2i−2i00000000002i−2i000000000
χ502-2-222-22-2-2222-2-2-222-22-220000-2000000000000-22000000−2i2i−2i2i0000000000−2i2i000000000
χ512-2-222-22-2-2222-2-2-22-22-2220000-20000000000002-20000002i−2i2i−2i0000000000−2i2i000000000
χ522-2-222-22-2-2222-2-2-22-22-2220000-20000000000002-2000000−2i2i−2i2i00000000002i−2i000000000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ5444-44-4-4-444400-400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5544-44-4-4-444400-400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ5644-44-4-4-44-4-4004004000004-4-440000000000000000000000000000000000000000000000
χ5744-44-4-4-44-4-400400400000-444-40000000000000000000000000000000000000000000000
χ5844-4-4-444-400-440-440000000000000002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ5944-4-4-444-400-440-44000000000000000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ604-444-44-4-44-400-400400000000002i2−2i22i2−2i2000000000000−2i22i2000000000000000000000000000
χ614-444-44-4-44-400-40040000000000−2i22i2−2i22i20000000000002i2−2i2000000000000000000000000000
χ624-44-4-4-444004-40-4404-4-44000000000000000000000000000000000000000000000000000
χ634-44-4-4-444004-40-440-444-4000000000000000000000000000000000000000000000000000
χ644-44-4-4-44400-4404-40000000000000000000000000000000000022−22−222200000000000000000
χ654-44-4-4-44400-4404-400000000000000000000000000000000000−222222−2200000000000000000
χ664-4-444-44-4-44-4-4-44440000-400004000000000000000000000000000000000000000000000
χ674-4-4-444-4400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ684-4-4-444-4400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ694-4-4-444-44000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ704-4-4-444-44000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ71888-88-8-8-8000000000000000000000000000000000000000000000000000000000000000

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