Finite Group Databasebeta

← Group #264429

Character table — Group #264429

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822224444222224448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-11-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-111-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11-1111-1-1-1-1-1-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-111-1-111-1-1-1-1-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-11111-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-1-1-11111111-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111111-1-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-11-1-1-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-111-11-111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1111-11-1-11111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-11111-1-111-1-1-11
χ172222222222-2-22-2-22-2-2000000002222-2-2-2-200000000002200-2-200000-2200000000000
χ182222222222-2-22-2-22-2-2000000002222-2-2-2-20000000000-2-20022000002-200000000000
χ192222222222-2-22-2-22-2-200000000-2-2-2-22222000000000022002200000-2-200000000000
χ202222222222-2-22-2-22-2-200000000-2-2-2-222220000000000-2-200-2-2000002200000000000
χ2122222222-2-222-222-2-2-22222-2-2-2-200000000000000002200-2-2002000000-20000000000
χ2222222222-2-222-222-2-2-22222-2-2-2-20000000000000000-2-2002200-200000020000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2222200000000000000002200-2-200-200000020000000000
χ2422222222-2-222-222-2-2-2-2-2-2-222220000000000000000-2-20022002000000-20000000000
χ2522-2-2-2-2222-200-20020022−2−222−2−2000022-2-22222−2−2−2−2002-2002-2000000002−22−2000000
χ2622-2-2-2-2222-200-20020022−2−222−2−2000022-2-22222−2−2−2−200-2200-2200000000−22−22000000
χ2722-2-2-2-2222-200-20020022−2−222−2−20000-2-222−2−2−2−22222002-200-22000000002−2−22000000
χ2822-2-2-2-2222-200-20020022−2−222−2−20000-2-222−2−2−2−2222200-22002-200000000−222−2000000
χ2922-2-2-2-2222-200-200200−2−222−2−222000022-2-2−2−2−2−22222002-2002-200000000−22−22000000
χ3022-2-2-2-2222-200-200200−2−222−2−222000022-2-2−2−2−2−2222200-2200-22000000002−22−2000000
χ3122-2-2-2-2222-200-200200−2−222−2−2220000-2-2222222−2−2−2−2002-200-2200000000−222−2000000
χ3222-2-2-2-2222-200-200200−2−222−2−2220000-2-2222222−2−2−2−200-22002-2000000002−2−22000000
χ332-2-2-2222-22222-2-2-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i2-2002-200000000000000002i−2i00
χ342-2-2-2222-22222-2-2-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i-2200-220000000000000000−2i2i00
χ352-2-2-2222-22222-2-2-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i2-2002-20000000000000000−2i2i00
χ362-2-2-2222-22222-2-2-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i-2200-2200000000000000002i−2i00
χ372-2-2-2222-2-2-2222-2-22-220000000022-2-22-22-2000000002-200-22000000000000002-20000
χ382-2-2-2222-2-2-2222-2-22-220000000022-2-22-22-200000000-22002-200000000000000-220000
χ392-2-2-2222-2-2-2222-2-22-2200000000-2-222-22-22000000002-200-2200000000000000-220000
χ402-2-2-2222-2-2-2222-2-22-2200000000-2-222-22-2200000000-22002-2000000000000002-20000
χ412-2-2-2222-2-2-2-2-222222-20000000022-2-2-22-22000000000000000002-22-20000000000000
χ422-2-2-2222-2-2-2-2-222222-20000000022-2-2-22-2200000000000000000-22-220000000000000
χ432-2-2-2222-2-2-2-2-222222-200000000-2-2222-22-2000000000000000002-2-220000000000000
χ442-2-2-2222-2-2-2-2-222222-200000000-2-2222-22-200000000000000000-222-20000000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-4000000000000002i2−2i22i2−2i222−2222−2200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ47444-44-4-4-4000000000000002i2−2i22i2−2i2−2222−22220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ48444-44-4-4-400000000000000−2i22i2−2i22i222−2222−220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ49444-44-4-4-400000000000000−2i22i2−2i22i2−2222−222200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ5044-44-44-4-4004-404-400000004i−4i−4i4i000000000000000000000000000000000000000000
χ5144-44-44-4-4004-404-40000000−4i4i4i−4i000000000000000000000000000000000000000000
χ5244-44-44-4-400-440-4400000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ5344-44-44-4-400-440-440000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ5444-4-4-4-444-4400400-4002222−22−22−22−222222000000000000000000000000000000000000000000
χ5544-4-4-4-444-4400400-400−22−2222222222−22−22000000000000000000000000000000000000000000
χ564-444-4-44-44-400400-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ574-444-4-44-44-400400-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ584-444-4-44-4-4400-4004000000000000004-4-440000000000000000000000000000000000
χ594-444-4-44-4-4400-400400000000000000-444-40000000000000000000000000000000000
χ604-44-4-44-44004-40-440004-44-40000000000000000000000000000000000000000000000
χ614-44-4-44-44004-40-44000-44-440000000000000000000000000000000000000000000000
χ624-44-4-44-4400-4404-4000000000000000000022−22−2222−222222−2200000000000000000000000000
χ634-44-4-44-4400-4404-40000000000000000000−222222−2222−22−222200000000000000000000000000
χ644-4-444-4-44000000000022−22−2222000022−22−222200002-2-222-2-2200000000000000000000000000
χ654-4-444-4-44000000000022−22−22220000−222222−220000-222-2-222-200000000000000000000000000
χ664-4-444-4-440000000000−222222−22000022−22−22220000-222-2-222-200000000000000000000000000
χ674-4-444-4-440000000000−222222−220000−222222−2200002-2-222-2-2200000000000000000000000000
χ684-4-4-4444-444-4-4-444-4-4400000000000000000000000000000000000000000000000000

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