Finite Group Databasebeta

← Group #281069

Character table — Group #281069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888222244888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-1111-1
χ911111111111111111-1-1-1-1111111111-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-11
χ172222222222-2-22-2-22-20000-22222222200-2-200000000000000-2-2000000000000
χ182222222222-2-22-2-22-20000-22222-2-2-2-200-2-20000000000000022000000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-222-2-2002200000000000000-22000000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-2-2-2220022000000000000002-2000000000000
χ2122222222-2-222-222-2-22222-200000000-2-20022-2-2000000002-200000000000000
χ2222222222-2-222-222-2-22222-200000000-2-200-2-22200000000-2200000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000000220022-2-200000000-2200000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000002200-2-222000000002-200000000000000
χ252-2-2222-2-22-2-2-2222-2-22i2i−2i−2i2000000002i−2i000000000022-2-20000000000002i−2i00
χ262-2-2222-2-22-2-2-2222-2-22i2i−2i−2i2000000002i−2i0000000000-2-222000000000000−2i2i00
χ272-2-2222-2-22-2-2-2222-2-2−2i−2i2i2i200000000−2i2i000000000022-2-2000000000000−2i2i00
χ282-2-2222-2-22-2-2-2222-2-2−2i−2i2i2i200000000−2i2i0000000000-2-2220000000000002i−2i00
χ292-2-2222-2-2-2222-2-2-22-20000222-2-20000002-200000000000000002i−2i2i−2i00000000
χ302-2-2222-2-2-2222-2-2-22-20000222-2-20000002-20000000000000000−2i2i−2i2i00000000
χ312-2-2222-2-2-2222-2-2-22-200002-2-222000000-2200000000000000002i−2i−2i2i00000000
χ322-2-2222-2-2-2222-2-2-22-200002-2-222000000-220000000000000000−2i2i2i−2i00000000
χ332-2-2222-2-2-22-2-2-222222i2i−2i−2i-222-2-20000−2i2i-2200002i2i−2i−2i00000000000000000000
χ342-2-2222-2-2-22-2-2-222222i2i−2i−2i-2-2-2220000−2i2i2-20000−2i−2i2i2i00000000000000000000
χ352-2-2222-2-2-22-2-2-22222−2i−2i2i2i-222-2-200002i−2i-220000−2i−2i2i2i00000000000000000000
χ362-2-2222-2-2-22-2-2-22222−2i−2i2i2i-2-2-22200002i−2i2-200002i2i−2i−2i00000000000000000000
χ372-2-2-22-222-2-20020020000002-22-22-22-200002−22−200002−22−2000000002−22−20000
χ382-2-2-22-222-2-20020020000002-22-22-22-20000−22−220000−22−2200000000−22−220000
χ392-2-2-22-222-2-20020020000002-22-2-22-2200002−22−200002−22−200000000−22−220000
χ402-2-2-22-222-2-20020020000002-22-2-22-220000−22−220000−22−22000000002−22−20000
χ412-2-2-22-222-2-2002002000000-22-222-2-2200002−22−20000−22−22000000002−2−220000
χ422-2-2-22-222-2-2002002000000-22-222-2-220000−22−2200002−22−200000000−222−20000
χ432-2-2-22-222-2-2002002000000-22-22-222-200002−22−20000−22−2200000000−222−20000
χ442-2-2-22-222-2-2002002000000-22-22-222-20000−22−2200002−22−2000000002−2−220000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-44-4-4-44-400-40040000004-4-44000000000000000000000000000000000000
χ47444-44-4-4-44-400-4004000000-444-4000000000000000000000000000000000000
χ48444-44-4-4-4-4400400-40000000000000000000000000022−22−22220000000000000000
χ49444-44-4-4-4-4400400-400000000000000000000000000−222222−220000000000000000
χ5044-4-4-444-4004-404-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ5144-4-4-444-4004-404-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ5244-4-4-444-400-440-44004i−4i4i−4i00000000000000000000000000000000000000000
χ5344-4-4-444-400-440-4400−4i4i−4i4i00000000000000000000000000000000000000000
χ544-44-4-44-44004-40-44004-4-4400000000000000000000000000000000000000000
χ554-44-4-44-44004-40-4400-444-400000000000000000000000000000000000000000
χ564-44-4-44-4400-4404-40000000000000000000000022−22−222200000000000000000000
χ574-44-4-44-4400-4404-400000000000000000000000−222222−2200000000000000000000
χ584-4-4444-4-44-4444-4-4-440000-40000000000000000000000000000000000000000
χ594-4-4-44-4444400-400-400000000000000000022−22−2222000000000000000000000000
χ604-4-4-44-4444400-400-4000000000000000000−222222−22000000000000000000000000
χ6188-88-8-8-88000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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