Finite Group Databasebeta

← Group #280062

Character table — Group #280062

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ5111111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-111111-1-11111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-111111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11
χ17222222222-22-2-222-22222-20000-22222000022-2-2000000-2-2000000000000-2000000000000
χ18222222222-22-2-222-22222-20000-2-2-2-2-20000-2-2-2-2000000220000000000002000000000000
χ19222222222-22-2-222-2-2-2-2-2-20000-222220000-2-222000000-2-20000000000002000000000000
χ20222222222-22-2-222-2-2-2-2-2-20000-2-2-2-2-20000222200000022000000000000-2000000000000
χ2122222222-22-222-2-220000-22222-2000022220000-2-222-2-2000000000000000-200000000000
χ2222222222-22-222-2-220000-22222-20000-2-2-2-20000-2-2-2-222000000000000000200000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-200002222000022-2-2-2-2000000000000000200000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-20000-2-2-2-20000222222000000000000000-200000000000
χ252222-2-2-2-220200-2-2022-2-200000022-2-222−2−22-20000002−200000022−2−222−2−200000000002−20
χ262222-2-2-2-220200-2-2022-2-200000022-2-2−2−2222-2000000−22000000−2−222−2−2220000000000−220
χ272222-2-2-2-220200-2-2022-2-2000000-2-22222−2−2-220000002−200000022−2−2−2−2220000000000−220
χ282222-2-2-2-220200-2-2022-2-2000000-2-222−2−222-22000000−22000000−2−22222−2−200000000002−20
χ292222-2-2-2-220200-2-20-2-22200000022-2-222−2−2-220000002−2000000−2−22222−2−20000000000−220
χ302222-2-2-2-220200-2-20-2-22200000022-2-2−2−222-22000000−2200000022−2−2−2−22200000000002−20
χ312222-2-2-2-220200-2-20-2-222000000-2-22222−2−22-20000002−2000000−2−222−2−22200000000002−20
χ322222-2-2-2-220200-2-20-2-222000000-2-222−2−2222-2000000−2200000022−2−222−2−20000000000−220
χ332-22-2-222-222-2-2-22-222i−2i2i−2i20000-200000000002i−2i000000002i2i−2i−2i00000000002-2000000000
χ342-22-2-222-222-2-2-22-222i−2i2i−2i20000-200000000002i−2i00000000−2i−2i2i2i0000000000-22000000000
χ352-22-2-222-222-2-2-22-22−2i2i−2i2i20000-20000000000−2i2i000000002i2i−2i−2i0000000000-22000000000
χ362-22-2-222-222-2-2-22-22−2i2i−2i2i20000-20000000000−2i2i00000000−2i−2i2i2i00000000002-2000000000
χ372-22-2-222-22-2-2222-2-22i−2i2i−2i-222-2-220000000000−2i2i2-200000000000000000000002i−2i0000000
χ382-22-2-222-22-2-2222-2-22i−2i2i−2i-2-2-22220000000000−2i2i-220000000000000000000000−2i2i0000000
χ392-22-2-222-22-2-2222-2-2−2i2i−2i2i-222-2-2200000000002i−2i2-20000000000000000000000−2i2i0000000
χ402-22-2-222-22-2-2222-2-2−2i2i−2i2i-2-2-222200000000002i−2i-2200000000000000000000002i−2i0000000
χ412-22-2-222-2-2-2222-22-20000222-2-2-2000000000000-2200000000002i−2i2i−2i00000000002i−2i00000
χ422-22-2-222-2-2-2222-22-20000222-2-2-2000000000000-220000000000−2i2i−2i2i0000000000−2i2i00000
χ432-22-2-222-2-2-2222-22-200002-2-222-20000000000002-200000000002i−2i2i−2i0000000000−2i2i00000
χ442-22-2-222-2-2-2222-22-200002-2-222-20000000000002-20000000000−2i2i−2i2i00000000002i−2i00000
χ452-2-2222-2-20-202-2002000002i−2i2i−2i02−22−22-22-20000002i−2i002−2i2−i2i2−i200002−22−200000000i2−i2000
χ462-2-2222-2-20-202-2002000002i−2i2i−2i02−22−2-22-22000000−2i2i002−2i2−i2i2−i20000−22−2200000000−i2i2000
χ472-2-2222-2-20-202-2002000002i−2i2i−2i0−22−222-22-20000002i−2i00−22−i2i2−i2i20000−22−2200000000−i2i2000
χ482-2-2222-2-20-202-2002000002i−2i2i−2i0−22−22-22-22000000−2i2i00−22−i2i2−i2i200002−22−200000000i2−i2000
χ492-2-2222-2-20-202-200200000−2i2i−2i2i02−22−22-22-2000000−2i2i002−2−i2i2−i2i200002−22−200000000−i2i2000
χ502-2-2222-2-20-202-200200000−2i2i−2i2i02−22−2-22-220000002i−2i002−2−i2i2−i2i20000−22−2200000000i2−i2000
χ512-2-2222-2-20-202-200200000−2i2i−2i2i0−22−222-22-2000000−2i2i00−22i2−i2i2−i20000−22−2200000000i2−i2000
χ522-2-2222-2-20-202-200200000−2i2i−2i2i0−22−22-22-220000002i−2i00−22i2−i2i2−i200002−22−200000000−i2i2000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ544444-4-4-4-4-40-400440000000000000002222−22−2200000000−2222000000000000000000000000000
χ554444-4-4-4-4-40-40044000000000000000−22−2222220000000022−22000000000000000000000000000
χ5644-4-4-44-440404-400-4000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5744-4-4-44-440404-400-400000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ5844-4-4-44-440-40-4400400000000000000000000000000000022−22−2222000000000000000000000
χ5944-4-4-44-440-40-44004000000000000000000000000000000−222222−22000000000000000000000
χ604-44-44-4-4440-400-4404i−4i−4i4i000000000000000000000000000000000000000000000000000
χ614-44-44-4-4440-400-440−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ624-44-44-4-44-404004-4000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ634-44-44-4-44-404004-400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ644-44-4-444-4-444-4-4-4440000-400004000000000000000000000000000000000000000000000
χ654-4-4444-4-4040-4400-4000000000022−2222−2200000000000000−22220000000000000000000000000
χ664-4-4444-4-4040-4400-40000000000−2222−22220000000000000022−220000000000000000000000000
χ674-4-44-4-44400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ684-4-44-4-44400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ694-4-44-4-444000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ704-4-44-4-444000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ7188-8-88-88-8000000000000000000000000000000000000000000000000000000000000000

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