Finite Group Databasebeta

← Group #275939

Character table — Group #275939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444444444444444444444888888882244488888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ9111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ11111111111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-11
χ12111111111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1
χ172222222222-2-2-2-222-2-222-2-2222222-2-2-2-200000000-2-2-22200000000000000000000000000
χ182222222222-2-2-2-222-2-222-2-2-2-2-2-22222220000000022-2-2-200000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-200000000222-2-200000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2222200000000-2-222200000000000000000000000000
χ2122222222-2-22222-2-2-2-222-2-20000-2-200002222-2-2-2-200200-2-2220000000000000000000000
χ2222222222-2-22222-2-2-2-222-2-20000-2-20000-2-2-2-222220020022-2-20000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-22200002200002222222200-200-2-2-2-20000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2220000220000-2-2-2-2-2-2-2-200-20022220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222220000-2-200000000000000-20000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-22222220000-2-200000000000000-2000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2-2-20000220000000000000020000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2000022000000000000002000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ2922-2-22-2-222-222-2-22-22-200002i2i−2i−2i002i2i−2i−2i0000000000000000000000000002-2002i−2i000000
χ3022-2-22-2-222-222-2-22-22-200002i2i−2i−2i002i2i−2i−2i000000000000000000000000000-2200−2i2i000000
χ3122-2-22-2-222-222-2-22-22-20000−2i−2i2i2i00−2i−2i2i2i0000000000000000000000000002-200−2i2i000000
χ3222-2-22-2-222-222-2-22-22-20000−2i−2i2i2i00−2i−2i2i2i000000000000000000000000000-22002i−2i000000
χ3322-2-22-2-222-2-2-2222-2-2200002i2i−2i−2i00−2i−2i2i2i00000000000000000000000002i−2i002-200000000
χ3422-2-22-2-222-2-2-2222-2-2200002i2i−2i−2i00−2i−2i2i2i0000000000000000000000000−2i2i00-2200000000
χ3522-2-22-2-222-2-2-2222-2-220000−2i−2i2i2i002i2i−2i−2i00000000000000000000000002i−2i00-2200000000
χ3622-2-22-2-222-2-2-2222-2-220000−2i−2i2i2i002i2i−2i−2i0000000000000000000000000−2i2i002-200000000
χ372-22-2-2-222220000-2-2002-2002i−2i2i−2i2-2000022−2−222−2−20002i−2i2−22−2i2−i2i2−i2i2−i2i2−i200000000000000
χ382-22-2-2-222220000-2-2002-2002i−2i2i−2i2-20000−2−222−2−2220002i−2i−22−22−i2i2−i2i2−i2i2−i2i200000000000000
χ392-22-2-2-222220000-2-2002-200−2i2i−2i2i2-2000022−2−222−2−2000−2i2i2−22−2−i2i2−i2i2−i2i2−i2i200000000000000
χ402-22-2-2-222220000-2-2002-200−2i2i−2i2i2-20000−2−222−2−222000−2i2i−22−22i2−i2i2−i2i2−i2i2−i200000000000000
χ412-22-2-2-222220000-2-200-22002i−2i2i−2i-22000022−2−2−2−222000−2i2i2−2−22i2−i2i2−i2−i2i2−i2i200000000000000
χ422-22-2-2-222220000-2-200-22002i−2i2i−2i-220000−2−22222−2−2000−2i2i−222−2−i2i2−i2i2i2−i2i2−i200000000000000
χ432-22-2-2-222220000-2-200-2200−2i2i−2i2i-22000022−2−2−2−2220002i−2i2−2−22−i2i2−i2i2i2−i2i2−i200000000000000
χ442-22-2-2-222220000-2-200-2200−2i2i−2i2i-220000−2−22222−2−20002i−2i−222−2i2−i2i2−i2−i2i2−i2i200000000000000
χ452-22-2-2-222-2-2000022002-2000000-222-22-222−2−2−2−2222-2000−222−22−2−222−2−2200000000000000
χ462-22-2-2-222-2-2000022002-2000000-222-22-2−2−22222−2−22-20002−2−22−222−2−222−200000000000000
χ472-22-2-2-222-2-2000022002-2000000-22-22-2222−2−2−2−222-22000−222−2−222−2−222−200000000000000
χ482-22-2-2-222-2-2000022002-2000000-22-22-22−2−22222−2−2-220002−2−222−2−222−2−2200000000000000
χ492-22-2-2-222-2-200002200-220000002-22-22-222−2−222−2−2-22000−22−222−2−22−222−200000000000000
χ502-22-2-2-222-2-200002200-220000002-22-22-2−2−222−2−222-220002−22−2−222−22−2−2200000000000000
χ512-22-2-2-222-2-200002200-220000002-2-22-2222−2−222−2−22-2000−22−22−222−22−2−2200000000000000
χ522-22-2-2-222-2-200002200-220000002-2-22-22−2−222−2−2222-20002−22−22−2−22−222−200000000000000
χ53444-4-44-4-40000000000004-4000000000022−2222−2222−2222−220000000000000000000000000000000
χ54444-4-44-4-40000000000004-40000000000−2222−2222−2222−22220000000000000000000000000000000
χ55444-4-44-4-4000000000000-44000000000022−2222−22−2222−22220000000000000000000000000000000
χ56444-4-44-4-4000000000000-440000000000−2222−222222−2222−220000000000000000000000000000000
χ5744-4-44-4-44-4444-4-4-44-4400000000000000000000000000000000000000000000000000000
χ5844-4-44-4-44-44-4-444-444-400000000000000000000000000000000000000000000000000000
χ594-4444-4-4-4004-44-400000000000000000000004-4-440000000000000000000000000000000
χ604-4444-4-4-4004-44-40000000000000000000000-444-40000000000000000000000000000000
χ614-4444-4-4-400-44-440000000000000000004-4-4400000000000000000000000000000000000
χ624-4444-4-4-400-44-44000000000000000000-444-400000000000000000000000000000000000
χ634-4-44-44-444-40000-440000004-4-44000000000000000000000000000000000000000000000
χ644-4-44-44-444-40000-44000000-444-4000000000000000000000000000000000000000000000
χ654-4-44-44-44-4400004-40000000000004i−4i−4i4i000000000000000000000000000000000000000
χ664-4-44-44-44-4400004-4000000000000−4i4i4i−4i000000000000000000000000000000000000000
χ674-4-4-4444-4004-4-440000000000000000000000000000000000000000000000000002i2−2i20000
χ684-4-4-4444-4004-4-44000000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-4-4444-400-444-4000000000000000000000000000000000000000000000000000002i2−2i200
χ704-4-4-4444-400-444-400000000000000000000000000000000000000000000000000000−2i22i200
χ7188-88-8-88-8000000000000000000000000000000000000000000000000000000000000000

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