Finite Group Databasebeta

← Group #279934

Character table — Group #279934

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111
χ5111111111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-111111111-1-11-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111111-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11111-1-1-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-11111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111111-1-11-1-1-1-1-1-11
χ17222222222-22-2-222-22222-20000-222220000220000-2-200-2-200000000000000-20000000000
χ18222222222-22-2-222-22222-20000-2-2-2-2-20000-2-20000-2-200220000000000000020000000000
χ19222222222-22-2-222-2-2-2-2-2-20000-222220000-2-200002200-2-20000000000000020000000000
χ20222222222-22-2-222-2-2-2-2-2-20000-2-2-2-2-2000022000022002200000000000000-20000000000
χ2122222222-22-222-2-220000-22222-20000222200-2-22200-2-20000000000000000000-20000000
χ2222222222-22-222-2-220000-22222-20000-2-2-2-200-2-2-2-20022000000000000000000020000000
χ2322222222-22-222-2-220000-2-2-2-2-2-2000022220022-2-200-2-2000000000000000000020000000
χ2422222222-22-222-2-220000-2-2-2-2-2-20000-2-2-2-200222200220000000000000000000-20000000
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−2i20000-2000000000000002i−2i00002i2i−2i−2i000000000002-200000000
χ342-22-2-222-222-2-2-22-222i−2i2i−2i20000-2000000000000002i−2i0000−2i−2i2i2i00000000000-2200000000
χ352-22-2-222-222-2-2-22-22−2i2i−2i2i20000-200000000000000−2i2i00002i2i−2i−2i00000000000-2200000000
χ362-22-2-222-222-2-2-22-22−2i2i−2i2i20000-200000000000000−2i2i0000−2i−2i2i2i000000000002-200000000
χ372-22-2-222-22-2-2222-2-22i−2i2i−2i-222-2-2200000000002-200−2i2i00000000000000002i−2i00000000000
χ382-22-2-222-22-2-2222-2-22i−2i2i−2i-2-2-22220000000000-2200−2i2i0000000000000000−2i2i00000000000
χ392-22-2-222-22-2-2222-2-2−2i2i−2i2i-222-2-2200000000002-2002i−2i0000000000000000−2i2i00000000000
χ402-22-2-222-22-2-2222-2-2−2i2i−2i2i-2-2-22220000000000-22002i−2i00000000000000002i−2i00000000000
χ412-22-2-222-2-2-2222-22-20000222-2-2-20000000000-220000000000002i−2i2i−2i00000000002i−2i00000
χ422-22-2-222-2-2-2222-22-20000222-2-2-20000000000-22000000000000−2i2i−2i2i0000000000−2i2i00000
χ432-22-2-222-2-2-2222-22-200002-2-222-200000000002-20000000000002i−2i2i−2i0000000000−2i2i00000
χ442-22-2-222-2-2-2222-22-200002-2-222-200000000002-2000000000000−2i2i−2i2i00000000002i−2i00000
χ452-2-22-22-220202-200-2000002i−2i2i−2i02−22−22i−2i2i−2i00002-200002−2i2−i2i2−i20000i2−i2i2−i2000000002−2000
χ462-2-22-22-220202-200-2000002i−2i2i−2i02−22−2−2i2i−2i2i0000-2200002−2i2−i2i2−i20000−i2i2−i2i200000000−22000
χ472-2-22-22-220202-200-2000002i−2i2i−2i0−22−222i−2i2i−2i00002-20000−22−i2i2−i2i20000−i2i2−i2i200000000−22000
χ482-2-22-22-220202-200-2000002i−2i2i−2i0−22−22−2i2i−2i2i0000-220000−22−i2i2−i2i20000i2−i2i2−i2000000002−2000
χ492-2-22-22-220202-200-200000−2i2i−2i2i02−22−22i−2i2i−2i0000-2200002−2−i2i2−i2i20000i2−i2i2−i200000000−22000
χ502-2-22-22-220202-200-200000−2i2i−2i2i02−22−2−2i2i−2i2i00002-200002−2−i2i2−i2i20000−i2i2−i2i2000000002−2000
χ512-2-22-22-220202-200-200000−2i2i−2i2i0−22−222i−2i2i−2i0000-220000−22i2−i2i2−i20000−i2i2−i2i2000000002−2000
χ522-2-22-22-220202-200-200000−2i2i−2i2i0−22−22−2i2i−2i2i00002-20000−22i2−i2i2−i20000i2−i2i2−i200000000−22000
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
χ5644-4-444-4-4040-4400-400000000000000000000000000000022−22−2222000000000000000000000
χ5744-4-444-4-4040-4400-4000000000000000000000000000000−222222−22000000000000000000000
χ5844-4-444-4-40-404-4004000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5944-4-444-4-40-404-400400000−4i4i4i−4i0000000000000000000000000000000000000000000000
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
χ654-4-444-44-400000000000000000022−22−22222i2−2i2−2i22i2000000000000000000002i−2i−2i2i0000000000000
χ664-4-444-44-400000000000000000022−22−2222−2i22i22i2−2i200000000000000000000−2i2i2i−2i0000000000000
χ674-4-444-44-4000000000000000000−222222−222i2−2i2−2i22i200000000000000000000−2i2i2i−2i0000000000000
χ684-4-444-44-4000000000000000000−222222−22−2i22i22i2−2i2000000000000000000002i−2i−2i2i0000000000000
χ694-4-44-44-440-40-44004000000000022−2222−2200000000000000−22220000000000000000000000000
χ704-4-44-44-440-40-440040000000000−2222−22220000000000000022−220000000000000000000000000
χ7188-8-8-8-888000000000000000000000000000000000000000000000000000000000000000

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