Finite Group Databasebeta

← Group #348067

Character table — Group #348067

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222224444444444444444444444448888888888888888816161616323232323232
order12224444448888222224444444888888888888224444448888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11111-1-111-1-1
χ411111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-111-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111
χ6111111111111111-1-111-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ8111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ111111111111-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1111111-1-1-111-1-11
χ121111111111-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11111-1-1111-1-111-1
χ131111111111-1-1-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-11-111-1
χ141111111111-1-1-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111-11-1-11
χ151111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-111-1-11-1-11-11
χ161111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-111-111-11-1
χ1722222222-2-20000-22222-2-2-2-2-2-2200000000000022-2-22-22-20000000000000000000
χ1822222222-2-20000-222-2-2-2-222-2-22000000000000-2-2222-2-220000000000000000000
χ1922222222-2-20000-2-2-22222-2-2-2-22000000000000-2-222-222-20000000000000000000
χ2022222222-2-20000-2-2-2-2-22222-2-2200000000000022-2-2-22-220000000000000000000
χ21222222-2-2222222-2002200222-2-222-2-200002222000000-2-200-2-2-200000000000000
χ22222222-2-2222222-200-2-200-2-22-2-222-2-20000-2-2-2-2000000220022-200000000000000
χ23222222-2-222-2-2-2-2-2002200222-2-2-2-2220000-2-2-2-2000000-2-20022200000000000000
χ24222222-2-222-2-2-2-2-200-2-200-2-22-2-2-2-222000022220000002200-2-2200000000000000
χ25222222-2-2-2-200002002200-2-2-22-200002i2i−2i−2i0000000000-222i−2i0002i2i−2i−2i0000000000
χ26222222-2-2-2-200002002200-2-2-22-20000−2i−2i2i2i0000000000-22−2i2i000−2i−2i2i2i0000000000
χ27222222-2-2-2-20000200-2-20022-22-200002i2i−2i−2i00000000002-22i−2i000−2i−2i2i2i0000000000
χ28222222-2-2-2-20000200-2-20022-22-20000−2i−2i2i2i00000000002-2−2i2i0002i2i−2i−2i0000000000
χ292222-2-222222222-222002200-22-2-2-222222200000000-2-200-2-200-200000000000000
χ302222-2-222222222-2-2-200-2-200-22-2-2-222-2-2-2-20000000022002200-200000000000000
χ312222-2-22222-2-2-2-2-222002200-22-222-2-2-2-2-2-200000000-2-2002200200000000000000
χ322222-2-22222-2-2-2-2-2-2-200-2-200-22-222-2-22222000000002200-2-200200000000000000
χ332222-2-222-2-2000022200-2-2002-2-2000000002i2i−2i−2i0000-2200002i−2i02i−2i2i−2i0000000000
χ342222-2-222-2-2000022200-2-2002-2-200000000−2i−2i2i2i0000-220000−2i2i0−2i2i−2i2i0000000000
χ352222-2-222-2-200002-2-20022002-2-2000000002i2i−2i−2i00002-200002i−2i0−2i2i−2i2i0000000000
χ362222-2-222-2-200002-2-20022002-2-200000000−2i−2i2i2i00002-20000−2i2i02i−2i2i−2i0000000000
χ372222-2-2-2-2222222200000000-2-22-2-2-2-2000000002-22-20000000022-2-220000000000
χ382222-2-2-2-2222222200000000-2-22-2-2-2-200000000-22-22000000002-222-20000000000
χ392222-2-2-2-222-2-2-2-2200000000-2-222222000000002-22-200000000-2-222-20000000000
χ402222-2-2-2-222-2-2-2-2200000000-2-22222200000000-22-2200000000-22-2-220000000000
χ412222-2-2-2-2-2-20000-20000000022200002i2i−2i−2i2i2i−2i−2i2-2-220000−2i2i−2i2i000000000000000
χ422222-2-2-2-2-2-20000-20000000022200002i2i−2i−2i−2i−2i2i2i-222-20000−2i2i2i−2i000000000000000
χ432222-2-2-2-2-2-20000-2000000002220000−2i−2i2i2i2i2i−2i−2i-222-200002i−2i−2i2i000000000000000
χ442222-2-2-2-2-2-20000-2000000002220000−2i−2i2i2i−2i−2i2i2i2-2-2200002i−2i2i−2i000000000000000
χ4544-4-40000-4444-4-4000000000000000000000000000000000000000002i−2i2i−2i000000
χ4644-4-40000-4444-4-400000000000000000000000000000000000000000−2i2i−2i2i000000
χ4744-4-40000-44-4-444000000000000000000000000000000000000000002i−2i−2i2i000000
χ4844-4-40000-44-4-44400000000000000000000000000000000000000000−2i2i2i−2i000000
χ494-44-4004-4002i2−2i22i2−2i2000004i−4i00000002i2−2i222−2222−220000000000000000000000000000000
χ504-44-4004-4002i2−2i22i2−2i200000−4i4i00000002i2−2i2−2222−22220000000000000000000000000000000
χ514-44-4004-400−2i22i2−2i22i2000004i−4i0000000−2i22i2−2222−22220000000000000000000000000000000
χ524-44-4004-400−2i22i2−2i22i200000−4i4i0000000−2i22i222−2222−220000000000000000000000000000000
χ534-44-400-44002i2−2i22i2−2i204-400000000000−2i22i22i2−2i2−2i22i20000000000000000000000000000000
χ544-44-400-44002i2−2i22i2−2i20-4400000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000
χ554-44-400-4400−2i22i2−2i22i204-4000000000002i2−2i2−2i22i22i2−2i20000000000000000000000000000000
χ564-44-400-4400−2i22i2−2i22i20-44000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000
χ574-4-444-400002i2−2i2−2i22i200000004i−4i0002i2−2i200000022−2222−22000000000000000000000000000
χ584-4-444-400002i2−2i2−2i22i20000000−4i4i0002i2−2i2000000−2222−2222000000000000000000000000000
χ594-4-444-40000−2i22i22i2−2i200000004i−4i000−2i22i2000000−2222−2222000000000000000000000000000
χ604-4-444-40000−2i22i22i2−2i20000000−4i4i000−2i22i200000022−2222−22000000000000000000000000000
χ614-4-44-4400002i2−2i2−2i22i20004-40000000−2i22i20000002i2−2i2−2i22i2000000000000000000000000000
χ624-4-44-4400002i2−2i2−2i22i2000-440000000−2i22i2000000−2i22i22i2−2i2000000000000000000000000000
χ634-4-44-440000−2i22i22i2−2i20004-400000002i2−2i2000000−2i22i22i2−2i2000000000000000000000000000
χ644-4-44-440000−2i22i22i2−2i2000-4400000002i2−2i20000002i2−2i2−2i22i2000000000000000000000000000
χ6588-8-800008-80000000000000000000000000000000000000000000000000000000

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