Finite Group Databasebeta

← Group #338697

Character table — Group #338697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-1111111-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-111
χ11111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-11-1-1-1-1111-11
χ17222222222-22-2-222-2-2-222220000220022-2-20000000000-2-200000000-20000000000
χ18222222222-22-2-222-2-2-222220000-2-200-2-2220000000000-2-20000000020000000000
χ19222222222-22-2-222-2-2-2-2-2-2-200002200-2-22200000000002200000000-20000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-20022-2-20000000000220000000020000000000
χ2122222222-22-222-2-22-2-20000222200220000-2-222-2-2000000000000000-2000000000
χ2222222222-22-222-2-22-2-20000222200-2-2000022-2-2-2-20000000000000002000000000
χ2322222222-22-222-2-22-2-20000-2-2-2-200220000-2-2-2-2220000000000000002000000000
χ2422222222-22-222-2-22-2-20000-2-2-2-200-2-20000222222000000000000000-2000000000
χ2522-222-2-2-2-222-2-2-222-2200000000000000000000002i2i−2i−2i0022-2-20000002i−2i0000000
χ2622-222-2-2-2-222-2-2-222-2200000000000000000000002i2i−2i−2i00-2-222000000−2i2i0000000
χ2722-222-2-2-2-222-2-2-222-220000000000000000000000−2i−2i2i2i0022-2-2000000−2i2i0000000
χ2822-222-2-2-2-222-2-2-222-220000000000000000000000−2i−2i2i2i00-2-2220000002i−2i0000000
χ2922-2-2-222-220-200-220002i2i−2i−2ii2i2−i2−i22i−2i002-2000000i2−i2000000i2−i2i2−i222−2−20000002−2000
χ3022-2-2-222-220-200-220002i2i−2i−2ii2i2−i2−i2−2i2i00-22000000i2−i2000000−i2i2−i2i222−2−2000000−22000
χ3122-2-2-222-220-200-220002i2i−2i−2i−i2−i2i2i22i−2i002-2000000−i2i2000000−i2i2−i2i2−2−222000000−22000
χ3222-2-2-222-220-200-220002i2i−2i−2i−i2−i2i2i2−2i2i00-22000000−i2i2000000i2−i2i2−i2−2−2220000002−2000
χ3322-2-2-222-220-200-22000−2i−2i2i2ii2i2−i2−i22i−2i00-22000000i2−i2000000−i2i2−i2i2−2−2220000002−2000
χ3422-2-2-222-220-200-22000−2i−2i2i2ii2i2−i2−i2−2i2i002-2000000i2−i2000000i2−i2i2−i2−2−222000000−22000
χ3522-2-2-222-220-200-22000−2i−2i2i2i−i2−i2i2i22i−2i00-22000000−i2i2000000i2−i2i2−i222−2−2000000−22000
χ3622-2-2-222-220-200-22000−2i−2i2i2i−i2−i2i2i2−2i2i002-2000000−i2i2000000−i2i2−i2i222−2−20000002−2000
χ372-2-22-2-2220202-200-2002−22−22i−2i2i−2i002i−2i0000002-200i2−i2i2−i22−20000i2−i2i2−i200002−200000
χ382-2-22-2-2220202-200-2002−22−22i−2i2i−2i00−2i2i000000-2200−i2i2−i2i22−20000i2−i2i2−i20000−2200000
χ392-2-22-2-2220202-200-2002−22−2−2i2i−2i2i002i−2i000000-2200i2−i2i2−i22−20000−i2i2−i2i20000−2200000
χ402-2-22-2-2220202-200-2002−22−2−2i2i−2i2i00−2i2i0000002-200−i2i2−i2i22−20000−i2i2−i2i200002−200000
χ412-2-22-2-2220202-200-200−22−222i−2i2i−2i002i−2i0000002-200−i2i2−i2i2−220000−i2i2−i2i20000−2200000
χ422-2-22-2-2220202-200-200−22−222i−2i2i−2i00−2i2i000000-2200i2−i2i2−i2−220000−i2i2−i2i200002−200000
χ432-2-22-2-2220202-200-200−22−22−2i2i−2i2i002i−2i000000-2200−i2i2−i2i2−220000i2−i2i2−i200002−200000
χ442-2-22-2-2220202-200-200−22−22−2i2i−2i2i00−2i2i0000002-200i2−i2i2−i2−220000i2−i2i2−i20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-4440400-4-4000000000000000004-40000000000000000000000000000000
χ47444-4-4-4-4440400-4-400000000000000000-440000000000000000000000000000000
χ48444-4-4-4-44-40-4004400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ49444-4-4-4-44-40-400440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5044-444-4-4-444-4-4-44-444-400000000000000000000000000000000000000000000000
χ5144-444-4-4-44-4-4444-4-4-4400000000000000000000000000000000000000000000000
χ5244-444-4-4-4-4-4444-44-44-400000000000000000000000000000000000000000000000
χ5344-4-4-444-4-404004-400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ5444-4-4-444-4-404004-40000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ554-444-44-4-4040-4400-400000000000000000000000022−22−2222000000000000000000000
χ564-444-44-4-4040-4400-4000000000000000000000000−222222−22000000000000000000000
χ574-444-44-4-40-404-40040000000000000000004i−4i00000000000000000000000000000
χ584-444-44-4-40-404-4004000000000000000000−4i4i00000000000000000000000000000
χ594-44-44-44-400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ604-44-44-44-400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ614-44-44-44-40000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ624-44-44-44-40000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ634-4-44-4-4440-40-440040022−2222−220000000000000000000000−22220000000000000000000
χ644-4-44-4-4440-40-4400400−2222−2222000000000000000000000022−220000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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