Finite Group Databasebeta

← Group #335757

Character table — Group #335757

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888222244444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-11-1-1-1-111-1-1-1
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
χ51111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-111
χ9111111111111111111-1-1-1-11111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-2-2222-2-2-2-20000222200220000-2-2-2-2-2-20000000000000002000000000
χ18222222222-2-2222-2-2-2-20000222200-2-200002222-2-2000000000000000-2000000000
χ19222222222-2-2222-2-2-2-20000-2-2-2-200220000-2-22222000000000000000-2000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-200-2-2000022-2-2220000000000000002000000000
χ2122222222-222-2-2-222-2-2222200002200-2-2-2-2000000-2-200000000000020000000000
χ2222222222-222-2-2-222-2-222220000-2-2002222000000-2-2000000000000-20000000000
χ2322222222-222-2-2-222-2-2-2-2-2-200002200-2-22200000022000000000000-20000000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000-2-20022-2-20000002200000000000020000000000
χ2522-22-22-2-2-200-222000022−2−222-2-2000000002i−2i2i−2i002−20000i2i2−i2−i222−2−2000000i2−i2000
χ2622-22-22-2-2-200-222000022−2−222-2-200000000−2i2i−2i2i002−20000−i2−i2i2i222−2−2000000−i2i2000
χ2722-22-22-2-2-200-222000022−2−2-2-222000000002i−2i−2i2i002−20000i2i2−i2−i2−2−222000000−i2i2000
χ2822-22-22-2-2-200-222000022−2−2-2-22200000000−2i2i2i−2i002−20000−i2−i2i2i2−2−222000000i2−i2000
χ2922-22-22-2-2-200-2220000−2−22222-2-2000000002i−2i2i−2i00−220000−i2−i2i2i2−2−222000000−i2i2000
χ3022-22-22-2-2-200-2220000−2−22222-2-200000000−2i2i−2i2i00−220000i2i2−i2−i2−2−222000000i2−i2000
χ3122-22-22-2-2-200-2220000−2−222-2-222000000002i−2i−2i2i00−220000−i2−i2i2i222−2−2000000i2−i2000
χ3222-22-22-2-2-200-2220000−2−222-2-22200000000−2i2i2i−2i00−220000i2i2−i2−i222−2−2000000−i2i2000
χ3322-2-22-22-202-20002-2002-22-2i2−i2i2−i200002i−2i2i−2i0000i2−i20022−2−20000i2−i2i2−i200002−200000
χ3422-2-22-22-202-20002-2002-22-2i2−i2i2−i20000−2i2i−2i2i0000i2−i200−2−2220000i2−i2i2−i20000−2200000
χ3522-2-22-22-202-20002-2002-22-2−i2i2−i2i200002i−2i2i−2i0000−i2i200−2−2220000−i2i2−i2i20000−2200000
χ3622-2-22-22-202-20002-2002-22-2−i2i2−i2i20000−2i2i−2i2i0000−i2i20022−2−20000−i2i2−i2i200002−200000
χ3722-2-22-22-202-20002-200-22-22i2−i2i2−i200002i−2i−2i2i0000i2−i20022−2−20000−i2i2−i2i20000−2200000
χ3822-2-22-22-202-20002-200-22-22i2−i2i2−i20000−2i2i2i−2i0000i2−i200−2−2220000−i2i2−i2i200002−200000
χ3922-2-22-22-202-20002-200-22-22−i2i2−i2i200002i−2i−2i2i0000−i2i200−2−2220000i2−i2i2−i200002−200000
χ4022-2-22-22-202-20002-200-22-22−i2i2−i2i20000−2i2i2i−2i0000−i2i20022−2−20000i2−i2i2−i20000−2200000
χ412-22-2-222-2-2222-22-2-2-220000000000000000000000002-22-22i−2i2i−2i0000002i−2i0000000
χ422-22-2-222-2-2222-22-2-2-220000000000000000000000002-22-2−2i2i−2i2i000000−2i2i0000000
χ432-22-2-222-2-2222-22-2-2-22000000000000000000000000-22-222i−2i2i−2i000000−2i2i0000000
χ442-22-2-222-2-2222-22-2-2-22000000000000000000000000-22-22−2i2i−2i2i0000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-44000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ47444-4-4-4-44000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ48444-4-4-4-440000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ49444-4-4-4-440000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ5044-44-44-4-44004-4-400002222−22−22000000000000000000−222200000000000000000000000
χ5144-44-44-4-44004-4-40000−22−22222200000000000000000022−2200000000000000000000000
χ5244-4-44-44-40-44000-440000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ5344-4-44-44-40-44000-44000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ544-44-4-444-4444-44-4-4-44-400000000000000000000000000000000000000000000000
χ554-44-4-444-44-4-4-44-444-4400000000000000000000000000000000000000000000000
χ564-44-4-444-4-4-4-44-44444-400000000000000000000000000000000000000000000000
χ574-4-44-4-44404-4000-440000000000000000000000000022−22−22220000000000000000000
χ584-4-44-4-44404-4000-4400000000000000000000000000−222222−220000000000000000000
χ594-4-44-4-4440-440004-400000000004-40000000000000000000000000000000000000
χ604-4-44-4-4440-440004-40000000000-440000000000000000000000000000000000000
χ614-4-4-444-44400-4-440000000000000000000000000000000022−22−2222000000000000000
χ624-4-4-444-44400-4-4400000000000000000000000000000000−222222−22000000000000000
χ634-4-4-444-44-40044-4000000000000004-400000000000000000000000000000000000
χ644-4-4-444-44-40044-400000000000000-4400000000000000000000000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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