Finite Group Databasebeta

← Group #501059

Character table — Group #501059

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order122222224444442224448888888824888816161616161616161616161616161616224444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-1
χ6111111111111111-1-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111
χ7111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111
χ8111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-1
χ91111-1-111111-1-11-111-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1
χ101111-1-111111-1-11-111-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-11
χ111111-1-111111-1-11-111-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-11
χ121111-1-111111-1-11-111-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-1
χ131111-1-111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-11-1-11
χ141111-1-111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-11-111-1
χ151111-1-111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1-111-1
χ161111-1-111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-111-11-1-111-1-11
χ1722222222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ18222222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ1922222222-2-2-2-2-2-2222-2-2-2000000002-2000022−2−222−2−222−2−222−2−2000000000000
χ2022222222-2-2-2-2-2-2222-2-2-2000000002-20000−2−222−2−222−2−222−2−222000000000000
χ2122222222-2-2-2-2-2-22-2-2-22200000000-22000022−2−222−2−2−2−222−2−222000000000000
χ2222222222-2-2-2-2-2-22-2-2-22200000000-220000−2−222−2−22222−2−222−2−2000000000000
χ23222222-2-22-2-2222-200-2002-222-2-22-200000000000000000000002020-20-200000
χ24222222-2-22-2-2222-200-2002-222-2-22-20000000000000000000000-20-2020200000
χ25222222-2-22-2-2222-200-200-22-2-222-22000000000000000000000002020-20-20000
χ26222222-2-22-2-2222-200-200-22-2-222-2200000000000000000000000-20-202020000
χ272222-2-222222-2-22-222-222-2-22222-2-2-2-2-2-2220000000000000000000000000000
χ282222-2-222222-2-22-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ292222-2-222-2-2-222-2-2222-2-200000000-22000022−2−2−2−22222−2−2−2−222000000000000
χ302222-2-222-2-2-222-2-2222-2-200000000-220000−2−22222−2−2−2−22222−2−2000000000000
χ312222-2-222-2-2-222-2-2-2-2222000000002-2000022−2−2−2−222−2−22222−2−2000000000000
χ322222-2-222-2-2-222-2-2-2-2222000000002-20000−2−22222−2−222−2−2−2−222000000000000
χ332222-2-2-2-22-2-2-2-222002002-2-2-2222-2000000000000000000000020-2020-200000
χ342222-2-2-2-22-2-2-2-222002002-2-2-2222-20000000000000000000000-2020-20200000
χ352222-2-2-2-22-2-2-2-22200200-2222-2-2-220000000000000000000000020-2020-20000
χ362222-2-2-2-22-2-2-2-22200200-2222-2-2-2200000000000000000000000-2020-2020000
χ372-2-22002-222-200-202-202-2002i−2i2i−2i0000002i−2ii2−i2i2−i22−22−2i2−i2i2−i22−22−2000000000000
χ382-2-22002-222-200-202-202-2002i−2i2i−2i0000002i−2i−i2i2−i2i2−22−22−i2i2−i2i2−22−22000000000000
χ392-2-22002-222-200-202-202-200−2i2i−2i2i000000−2i2ii2−i2i2−i2−22−22i2−i2i2−i2−22−22000000000000
χ402-2-22002-222-200-202-202-200−2i2i−2i2i000000−2i2i−i2i2−i2i22−22−2−i2i2−i2i22−22−2000000000000
χ412-2-22002-222-200-20-220-22002i−2i2i−2i000000−2i2ii2−i2i2−i22−22−2−i2i2−i2i2−22−22000000000000
χ422-2-22002-222-200-20-220-22002i−2i2i−2i000000−2i2i−i2i2−i2i2−22−22i2−i2i2−i22−22−2000000000000
χ432-2-22002-222-200-20-220-2200−2i2i−2i2i0000002i−2ii2−i2i2−i2−22−22−i2i2−i2i22−22−2000000000000
χ442-2-22002-222-200-20-220-2200−2i2i−2i2i0000002i−2i−i2i2−i2i22−22−2i2−i2i2−i2−22−22000000000000
χ452-2-22002-2-2-2200202-20-22220000-2-2002-2002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ462-2-22002-2-2-2200202-20-22220000-2-2002-200−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ472-2-22002-2-2-2200202-20-22-2-200002200-220000002-2-2200002-2-22000000000000
χ482-2-22002-2-2-2200202-20-22-2-200002200-22000000-222-20000-222-2000000000000
χ492-2-22002-2-2-220020-2202-2220000-2-200-22002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ502-2-22002-2-2-220020-2202-2220000-2-200-2200−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ512-2-22002-2-2-220020-2202-2-2-2000022002-20000002-2-220000-222-2000000000000
χ522-2-22002-2-2-220020-2202-2-2-2000022002-2000000-222-200002-2-22000000000000
χ53444444-4-4-444-4-4-4-400400000000000000000000000000000000000000000000
χ544444-4-4-4-4-44444-4400-400000000000000000000000000000000000000000000
χ554-4-4400-444-4400-4000000004i−4i−4i4i000000000000000000000000000000000000
χ564-4-4400-444-4400-400000000−4i4i4i−4i000000000000000000000000000000000000
χ574-4-4400-44-44-40040000004-40000-440000000000000000000000000000000000
χ584-4-4400-44-44-4004000000-4400004-40000000000000000000000000000000000
χ5988-8-88-800000000000000000000000000000000000000000000000000000000
χ6088-8-8-8800000000000000000000000000000000000000000000000000000000
χ618-88-800000008i−8i0000000000000000000000000000000000000000000000000
χ628-88-80000000−8i8i0000000000000000000000000000000000000000000000000

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