Finite Group Databasebeta

← Group #335607

Character table — Group #335607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222222444444888888888888888844448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-1
χ9111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ172222222222-22-2-2-22-2-20000222222220000-2-20000-2-20000000000000-2000000000
χ182222222222-22-2-2-22-2-200002222-2-2-2-20000220000-2-200000000000002000000000
χ192222222222-22-2-2-22-2-20000-2-2-2-222-2-20000-2-200002200000000000002000000000
χ202222222222-22-2-2-22-2-20000-2-2-2-2-2-2220000220000220000000000000-2000000000
χ2122222222-2-22-2222-2-2-222220000000022-2-20022-2-200000000000000-20000000000
χ2222222222-2-22-2222-2-2-2222200000000-2-22200-2-2-2-20000000000000020000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000000022-2-200-2-2220000000000000020000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-200000000-2-22200222200000000000000-20000000000
χ2522-2-2-2-22200-20-22200022-2-222−2−200002-200002-2002−2000022−2−222−2−20000002−2000
χ2622-2-2-2-22200-20-22200022-2-222−2−20000-220000-22002−20000−2−22222−2−2000000−22000
χ2722-2-2-2-22200-20-22200022-2-2−2−22200002-200002-200−220000−2−222−2−222000000−22000
χ2822-2-2-2-22200-20-22200022-2-2−2−2220000-220000-2200−22000022−2−2−2−2220000002−2000
χ2922-2-2-2-22200-20-222000-2-22222−2−200002-20000-22002−2000022−2−2−2−222000000−22000
χ3022-2-2-2-22200-20-222000-2-22222−2−20000-2200002-2002−20000−2−222−2−2220000002−2000
χ3122-2-2-2-22200-20-222000-2-222−2−22200002-20000-2200−220000−2−22222−2−20000002−2000
χ3222-2-2-2-22200-20-222000-2-222−2−2220000-2200002-200−22000022−2−222−2−2000000−22000
χ332-2-22-222-222-2-22-22-2-2200000000000000000000000022-2-22i−2i2i−2i0000002i−2i0000000
χ342-2-22-222-222-2-22-22-2-2200000000000000000000000022-2-2−2i2i−2i2i000000−2i2i0000000
χ352-2-22-222-222-2-22-22-2-22000000000000000000000000-2-2222i−2i2i−2i000000−2i2i0000000
χ362-2-22-222-222-2-22-22-2-22000000000000000000000000-2-222−2i2i−2i2i0000002i−2i0000000
χ372-2-2-222-222-20-20002002−22−22-22-22-22-2000000002−2002−22−200002−22−200002−200000
χ382-2-2-222-222-20-20002002−22−22-22-2-22-22000000002−200−22−2200002−22−20000−2200000
χ392-2-2-222-222-20-20002002−22−2-22-222-2-22000000002−2002−22−20000−22−220000−2200000
χ402-2-2-222-222-20-20002002−22−2-22-22-222-2000000002−200−22−220000−22−2200002−200000
χ412-2-2-222-222-20-2000200−22−222-22-22-22-200000000−2200−22−220000−22−220000−2200000
χ422-2-2-222-222-20-2000200−22−222-22-2-22-2200000000−22002−22−20000−22−2200002−200000
χ432-2-2-222-222-20-2000200−22−22-22-222-2-2200000000−2200−22−2200002−22−200002−200000
χ442-2-2-222-222-20-2000200−22−22-22-22-222-200000000−22002−22−200002−22−20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-44-404000-40000000000000000000000000022−22−22220000000000000000000
χ47444-4-44-4-44-404000-400000000000000000000000000−222222−220000000000000000000
χ48444-4-44-4-4-440-400040000000000000000004i−4i00000000000000000000000000000
χ49444-4-44-4-4-440-40004000000000000000000−4i4i00000000000000000000000000000
χ5044-4-4-4-44400404-4-400000002222−22−2200000000000000−222200000000000000000000000
χ5144-4-4-4-44400404-4-40000000−22−2222220000000000000022−2200000000000000000000000
χ524-444-4-4-44000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ534-444-4-4-44000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ544-444-4-4-440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ554-444-4-4-440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ564-44-44-44-40040-4-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ574-44-44-44-40040-4-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ584-44-44-44-400-4044-4000000000000000004i−4i0000000000000000000000000000000
χ594-44-44-44-400-4044-400000000000000000−4i4i0000000000000000000000000000000
χ604-4-44-444-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ614-4-44-444-4-4-444-44-44-4400000000000000000000000000000000000000000000000
χ624-4-44-444-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ634-4-4-444-44-4404000-40022−2222−220000000000000000−22220000000000000000000000000
χ644-4-4-444-44-4404000-400−2222−2222000000000000000022−220000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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