Finite Group Databasebeta

← Group #103700

Character table — Group #103700

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ922222222222222-2-2-222-2-22-2-2-22-22222-2-2-2-2000000000000000000000000000000
χ1022222222222222-2-2-222-2-22-2-2-22-2-2-2-2-22222000000000000000000000000000000
χ112222222222-2-2-2-2222222-2-222-2-2-2000000000000000000000000000022-2-2000000
χ122222222222-2-2-2-2222222-2-222-2-2-20000000000000000000000000000-2-222000000
χ132222222222-2-2-2-2-2-2-222-22-2-2-22-220000000000000000000000000000000000002-2
χ142222222222-2-2-2-2-2-2-222-22-2-2-22-22000000000000000000000000000000000000-22
χ1522222222-2-22222222-2-222-2-2-22-2-200000000000000000000000022-2-20000000000
χ1622222222-2-22222222-2-222-2-2-22-2-2000000000000000000000000-2-2220000000000
χ1722222222-2-22222-2-2-2-2-2-2-2-222-2-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-222-2-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000
χ1922222222-2-2-2-2-2-2222-2-22-22-2-2-2220000000000000000000000000000000022-2-200
χ2022222222-2-2-2-2-2-2222-2-22-22-2-2-22200000000000000000000000000000000-2-22200
χ2122222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000002222-2-2-2-200000000000000
χ2222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000-2-2-2-2222200000000000000
χ2322-222-2-2-22-222-2-20002-200-200020000022-2-200000000i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i200
χ2422-222-2-2-22-222-2-20002-200-200020000022-2-200000000−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i200
χ2522-222-2-2-22-222-2-20002-200-2000200000-2-22200000000i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i200
χ2622-222-2-2-22-222-2-20002-200-2000200000-2-22200000000−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i200
χ2722-222-2-2-2-22-2-222000-2200-20002022-2-2000000000000i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i200
χ2822-222-2-2-2-22-2-222000-2200-20002022-2-2000000000000−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i200
χ2922-222-2-2-2-22-2-222000-2200-200020-2-222000000000000i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i200
χ3022-222-2-2-2-22-2-222000-2200-200020-2-222000000000000−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i200
χ3122-2-2-22-222200002-2-2-2-22002-20000000000022−2−222−2−2i2−i2i2−i2i2−i2i2−i20000002i−2i000000
χ3222-2-2-22-222200002-2-2-2-22002-20000000000022−2−222−2−2−i2i2−i2i2−i2i2−i2i2000000−2i2i000000
χ3322-2-2-22-222200002-2-2-2-22002-200000000000−2−222−2−222i2−i2i2−i2i2−i2i2−i2000000−2i2i000000
χ3422-2-2-22-222200002-2-2-2-22002-200000000000−2−222−2−222−i2i2−i2i2−i2i2−i2i20000002i−2i000000
χ3522-2-2-22-22-2-20000-22222-2002-200000000000i2i2−i2−i2−i2−i2i2i2i2−i2i2−i2−i2i2−i2i200002-200000000
χ3622-2-2-22-22-2-20000-22222-2002-200000000000i2i2−i2−i2−i2−i2i2i2−i2i2−i2i2i2−i2i2−i20000-2200000000
χ3722-2-2-22-22-2-20000-22222-2002-200000000000−i2−i2i2i2i2i2−i2−i2i2−i2i2−i2−i2i2−i2i20000-2200000000
χ3822-2-2-22-22-2-20000-22222-2002-200000000000−i2−i2i2i2i2i2−i2−i2−i2i2−i2i2i2−i2i2−i200002-200000000
χ392-222-2-2-22002-22-222-200-2-2000200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000002-20000000000
χ402-222-2-2-22002-22-222-200-2-2000200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000-220000000000
χ412-222-2-2-22002-22-222-200-2-2000200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000-220000000000
χ422-222-2-2-22002-22-222-200-2-2000200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000002-20000000000
χ432-222-2-2-22002-22-2-2-220022000-200i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000002i−2i000000000000
χ442-222-2-2-22002-22-2-2-220022000-200i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000−2i2i000000000000
χ452-222-2-2-22002-22-2-2-220022000-200−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000−2i2i000000000000
χ462-222-2-2-22002-22-2-2-220022000-200−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000002i−2i000000000000
χ47444-4-4-44-44-40000000-440000000000000000000000002-2-222-2-2200000000000000
χ48444-4-4-44-44-40000000-44000000000000000000000000-222-2-222-200000000000000
χ49444-4-4-44-4-4400000004-40000000000000000000000002-2-22-222-200000000000000
χ50444-4-4-44-4-4400000004-4000000000000000000000000-222-22-2-2200000000000000
χ5144-444-4-4-44-4-4-4440004-4004000-4000000000000000000000000000000000000000
χ5244-444-4-4-4-4444-4-4000-44004000-4000000000000000000000000000000000000000
χ5344-4-4-44-44440000-444-4-4-400-4400000000000000000000000000000000000000000
χ5444-4-4-44-44-4-400004-4-444400-4400000000000000000000000000000000000000000
χ554-444-4-4-4400-44-4444-400-44000-40000000000000000000000000000000000000000
χ564-444-4-4-4400-44-44-4-44004-400040000000000000000000000000000000000000000
χ574-4-44-444-4004-4-44000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ584-4-44-444-4004-4-4400000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ594-4-44-444-400-444-400000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ604-4-44-444-400-444-40000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ614-4-4-44-4440000004-4400-40000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ624-4-4-44-4440000004-4400-4000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ634-4-4-44-444000000-44-40040000000000000002-2-22-222-20000000000000000000000
χ644-4-4-44-444000000-44-4004000000000000000-222-22-2-220000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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