Finite Group Databasebeta

← Group #335697

Character table — Group #335697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-111111-1-1-111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-111
χ9111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-2-22-222-2-2-222220000220000-2-2-2-20000-2-200000000000002000000000
χ18222222222-2-22-222-2-2-222220000-2-2000022220000-2-20000000000000-2000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000022000022-2-20000220000000000000-2000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-20000-2-22200002200000000000002000000000
χ2122222222-222-22-2-22-2-2000022220022-2-20000-2-2-2-20000000000000020000000000
χ2222222222-222-22-2-22-2-20000222200-2-222000022-2-200000000000000-20000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-20022220000-2-22200000000000000-20000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-200-2-2-2-2000022220000000000000020000000000
χ2522-2-2-2-22202-20200-20022−2−22i2i−2i−2i00002i−2i00002-2002−222−2−20000i2i2−i2−i20000i2−i200000
χ2622-2-2-2-22202-20200-20022−2−22i2i−2i−2i0000−2i2i0000-22002−2−2−2220000i2i2−i2−i20000−i2i200000
χ2722-2-2-2-22202-20200-20022−2−2−2i−2i2i2i00002i−2i0000-22002−2−2−2220000−i2−i2i2i20000i2−i200000
χ2822-2-2-2-22202-20200-20022−2−2−2i−2i2i2i0000−2i2i00002-2002−222−2−20000−i2−i2i2i20000−i2i200000
χ2922-2-2-2-22202-20200-200−2−2222i2i−2i−2i00002i−2i00002-200−22−2−2220000−i2−i2i2i20000−i2i200000
χ3022-2-2-2-22202-20200-200−2−2222i2i−2i−2i0000−2i2i0000-2200−2222−2−20000−i2−i2i2i20000i2−i200000
χ3122-2-2-2-22202-20200-200−2−222−2i−2i2i2i00002i−2i0000-2200−2222−2−20000i2i2−i2−i20000−i2i200000
χ3222-2-2-2-22202-20200-200−2−222−2i−2i2i2i0000−2i2i00002-200−22−2−2220000i2i2−i2−i20000i2−i200000
χ332-222-2-2-22-2222-2-22-2-220000000000000000000000002-22-22i2i−2i−2i0000002i−2i0000000
χ342-222-2-2-22-2222-2-22-2-220000000000000000000000002-22-2−2i−2i2i2i000000−2i2i0000000
χ352-222-2-2-22-2222-2-22-2-22000000000000000000000000-22-222i2i−2i−2i000000−2i2i0000000
χ362-222-2-2-22-2222-2-22-2-22000000000000000000000000-22-22−2i−2i2i2i0000002i−2i0000000
χ372-22-22-22-2200-20-220002i−2i2i−2ii2−i2i2−i20000002-22i−2i00i2−i20000002−22−22−22−2000000i2−i2000
χ382-22-22-22-2200-20-220002i−2i2i−2ii2−i2i2−i2000000-22−2i2i00i2−i2000000−22−222−22−2000000−i2i2000
χ392-22-22-22-2200-20-220002i−2i2i−2i−i2i2−i2i20000002-22i−2i00−i2i2000000−22−22−22−22000000−i2i2000
χ402-22-22-22-2200-20-220002i−2i2i−2i−i2i2−i2i2000000-22−2i2i00−i2i20000002−22−2−22−22000000i2−i2000
χ412-22-22-22-2200-20-22000−2i2i−2i2ii2−i2i2−i20000002-2−2i2i00i2−i2000000−22−22−22−22000000i2−i2000
χ422-22-22-22-2200-20-22000−2i2i−2i2ii2−i2i2−i2000000-222i−2i00i2−i20000002−22−2−22−22000000−i2i2000
χ432-22-22-22-2200-20-22000−2i2i−2i2i−i2i2−i2i20000002-2−2i2i00−i2i20000002−22−22−22−2000000−i2i2000
χ442-22-22-22-2200-20-22000−2i2i−2i2i−i2i2−i2i2000000-222i−2i00−i2i2000000−22−222−22−2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-440040-4-4000000000004-40000000000000000000000000000000000000
χ47444-4-44-4-440040-4-400000000000-440000000000000000000000000000000000000
χ48444-4-44-4-4-400-404400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ49444-4-44-4-4-400-40440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5044-4-4-4-4440-440-4004002222−22−22000000000000000000−222200000000000000000000000
χ5144-4-4-4-4440-440-400400−22−22222200000000000000000022−2200000000000000000000000
χ524-444-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000000000
χ534-444-4-4-444-4-4-444-44-4400000000000000000000000000000000000000000000000
χ544-444-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000000000
χ554-44-44-44-4-400404-400000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ564-44-44-44-4-400404-40000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ574-4-44-444-400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ584-4-44-444-400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ594-4-44-444-40000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ604-4-44-444-40000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ614-4-4-444-4404-40-40040000000000000000000000000022−22−22220000000000000000000
χ624-4-4-444-4404-40-400400000000000000000000000000−222222−220000000000000000000
χ634-4-4-444-440-440400-40000000000004i−4i00000000000000000000000000000000000
χ644-4-4-444-440-440400-4000000000000−4i4i00000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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