Finite Group Databasebeta

← Group #501401

Character table — Group #501401

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order122222224444442224448888888824888816161616161616161616161616161616888888882444
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
χ5111111111111111-1-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111-1-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1111-1-1111-111-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111-1-1111-1-1111-111-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111-1-1111-1-1111-111-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ121111-1-1111-1-1111-111-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ131111-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
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
χ1922222222-2-2-2-2-2-2222-2-2-2000000002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2022222222-2-2-2-2-2-2222-2-2-2000000002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ2122222222-2-2-2-2-2-22-2-2-22200000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ2222222222-2-2-2-2-2-22-2-2-22200000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ23222222-2-22222-2-2-200-2002-222-2-22-2000000000000000000000000002i−2i2i−2i0000
χ24222222-2-22222-2-2-200-2002-222-2-22-200000000000000000000000000−2i2i−2i2i0000
χ25222222-2-22222-2-2-200-200-22-2-222-2200000000000000000000002i−2i2i−2i00000000
χ26222222-2-22222-2-2-200-200-22-2-222-220000000000000000000000−2i2i−2i2i00000000
χ272222-2-2222-2-2222-222-222-2-22222-2-2-2-2-2-2220000000000000000000000000000
χ282222-2-2222-2-2222-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ292222-2-222-222-2-2-2-2222-2-200000000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ302222-2-222-222-2-2-2-2222-2-200000000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ312222-2-222-222-2-2-2-2-2-2222000000002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ322222-2-222-222-2-2-2-2-2-2222000000002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ332222-2-2-2-22-2-22-2-22002002-2-2-2222-2000000000000000000000000002i−2i−2i2i0000
χ342222-2-2-2-22-2-22-2-22002002-2-2-2222-200000000000000000000000000−2i2i2i−2i0000
χ352222-2-2-2-22-2-22-2-2200200-2222-2-2-2200000000000000000000002i−2i−2i2i00000000
χ362222-2-2-2-22-2-22-2-2200200-2222-2-2-220000000000000000000000−2i2i2i−2i00000000
χ372-22-2002-2200-22-202-202-2002i−2i2i−2i0000002i−2ii2−i2i2−i22−22−2i2−i2i2−i22−22−2000000000000
χ382-22-2002-2200-22-202-202-2002i−2i2i−2i0000002i−2i−i2i2−i2i2−22−22−i2i2−i2i2−22−22000000000000
χ392-22-2002-2200-22-202-202-200−2i2i−2i2i000000−2i2ii2−i2i2−i2−22−22i2−i2i2−i2−22−22000000000000
χ402-22-2002-2200-22-202-202-200−2i2i−2i2i000000−2i2i−i2i2−i2i22−22−2−i2i2−i2i22−22−2000000000000
χ412-22-2002-2200-22-20-220-22002i−2i2i−2i000000−2i2ii2−i2i2−i22−22−2−i2i2−i2i2−22−22000000000000
χ422-22-2002-2200-22-20-220-22002i−2i2i−2i000000−2i2i−i2i2−i2i2−22−22i2−i2i2−i22−22−2000000000000
χ432-22-2002-2200-22-20-220-2200−2i2i−2i2i0000002i−2ii2−i2i2−i2−22−22−i2i2−i2i22−22−2000000000000
χ442-22-2002-2200-22-20-220-2200−2i2i−2i2i0000002i−2i−i2i2−i2i22−22−2i2−i2i2−i2−22−22000000000000
χ452-22-2002-2-2002-2202-20-22220000-2-2002-20000002i−2i−2i2i00002i−2i−2i2i000000000000
χ462-22-2002-2-2002-2202-20-22220000-2-2002-2000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ472-22-2002-2-2002-2202-20-22-2-200002200-22002-2-2200002-2-220000000000000000
χ482-22-2002-2-2002-2202-20-22-2-200002200-2200-222-20000-222-20000000000000000
χ492-22-2002-2-2002-220-2202-2220000-2-200-220000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ502-22-2002-2-2002-220-2202-2220000-2-200-22000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ512-22-2002-2-2002-220-2202-2-2-2000022002-2002-2-220000-222-20000000000000000
χ522-22-2002-2-2002-220-2202-2-2-2000022002-200-222-200002-2-220000000000000000
χ53444444-4-4-4-4-4-444-400400000000000000000000000000000000000000000000
χ544444-4-4-4-4-444-444400-400000000000000000000000000000000000000000000
χ554-44-400-44400-4-44000000004i−4i−4i4i000000000000000000000000000000000000
χ564-44-400-44400-4-4400000000−4i4i4i−4i000000000000000000000000000000000000
χ574-44-400-44-40044-40000004-40000-440000000000000000000000000000000000
χ584-44-400-44-40044-4000000-4400004-40000000000000000000000000000000000
χ5988-8-8000008i−8i000000000000000000000000000000000000000000000000000
χ6088-8-800000−8i8i000000000000000000000000000000000000000000000000000
χ618-8-888-800000000000000000000000000000000000000000000000000000000
χ628-8-88-8800000000000000000000000000000000000000000000000000000000

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