Finite Group Databasebeta

← Group #103746

Character table — Group #103746

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
χ922222222222222-2-2-222-2-2-22-22-2-22222-2-2-2-2000000000000000000000000000000
χ1022222222222222-2-2-222-2-2-22-22-2-2-2-2-2-22222000000000000000000000000000000
χ112222222222-2-2-2-222222222-2-2-2-2-2000000000000000000000000000022-2-2000000
χ122222222222-2-2-2-222222222-2-2-2-2-20000000000000000000000000000-2-222000000
χ132222222222-2-2-2-2-2-2-222-2-2-2-22-2220000000000000000000000000000000000002-2
χ142222222222-2-2-2-2-2-2-222-2-2-2-22-222000000000000000000000000000000000000-22
χ1522222222-2-22222222-2-22-2-2-22-22-200000000000000000000000022-2-20000000000
χ1622222222-2-22222222-2-22-2-2-22-22-2000000000000000000000000-2-2220000000000
χ1722222222-2-22222-2-2-2-2-2-222-2-2-2-22000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-222-2-2-2-2200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000
χ1922222222-2-2-2-2-2-2222-2-22-2-22-22-220000000000000000000000000000000022-2-200
χ2022222222-2-2-2-2-2-2222-2-22-2-22-22-2200000000000000000000000000000000-2-22200
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
χ232222-2-2-2-222000022-2-2-2-22-2000000000000022−2−222−2−222−2−222−2−20000002-2000000
χ242222-2-2-2-222000022-2-2-2-22-2000000000000022−2−222−2−2−2−222−2−222000000-22000000
χ252222-2-2-2-222000022-2-2-2-22-20000000000000−2−222−2−22222−2−222−2−2000000-22000000
χ262222-2-2-2-222000022-2-2-2-22-20000000000000−2−222−2−222−2−222−2−2220000002-2000000
χ272222-2-2-2-2-2-20000-2-222222-20000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200002i−2i00000000
χ282222-2-2-2-2-2-20000-2-222222-20000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000−2i2i00000000
χ292222-2-2-2-2-2-20000-2-222222-20000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000−2i2i00000000
χ302222-2-2-2-2-2-20000-2-222222-20000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200002i−2i00000000
χ3122-2-222-2-22-222-2-20002-2000-20200000022-2-200000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i200
χ3222-2-222-2-22-222-2-20002-2000-20200000022-2-200000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i200
χ3322-2-222-2-22-222-2-20002-2000-202000000-2-22200000000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i200
χ3422-2-222-2-22-222-2-20002-2000-202000000-2-22200000000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i200
χ3522-2-222-2-2-22-2-222000-22000-2020022-2-2000000000000i2−i2i2−i2−i2i2−i2i200000000i2−i2−i2i200
χ3622-2-222-2-2-22-2-222000-22000-2020022-2-2000000000000−i2i2−i2i2i2−i2i2−i200000000−i2i2i2−i200
χ3722-2-222-2-2-22-2-222000-22000-20200-2-222000000000000i2−i2i2−i2−i2i2−i2i200000000−i2i2i2−i200
χ3822-2-222-2-2-22-2-222000-22000-20200-2-222000000000000−i2i2−i2i2i2−i2i2−i200000000i2−i2−i2i200
χ392-2-222-22-2002-22-22-2200-2000-2020i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000002i−2i0000000000
χ402-2-222-22-2002-22-22-2200-2000-2020i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000−2i2i0000000000
χ412-2-222-22-2002-22-22-2200-2000-2020−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000−2i2i0000000000
χ422-2-222-22-2002-22-22-2200-2000-2020−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000002i−2i0000000000
χ432-2-222-22-2002-22-2-22-200200020-20i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000002-2000000000000
χ442-2-222-22-2002-22-2-22-200200020-20i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000-22000000000000
χ452-2-222-22-2002-22-2-22-200200020-20−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000-22000000000000
χ462-2-222-22-2002-22-2-22-200200020-20−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000002-2000000000000
χ474444-4-4-4-4440000-4-44-4-44-440000000000000000000000000000000000000000000
χ484444-4-4-4-4-4-4000044-444-4-440000000000000000000000000000000000000000000
χ4944-4-444-4-44-4-4-4440004-400040-40000000000000000000000000000000000000000
χ5044-4-444-4-4-4444-4-4000-4400040-40000000000000000000000000000000000000000
χ5144-4-4-4-4444-40000000-440000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ5244-4-4-4-4444-40000000-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ5344-4-4-4-444-4400000004-40000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ5444-4-4-4-444-4400000004-4000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ554-44-44-4-44004-4-44000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ564-44-44-4-44004-4-4400000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ574-44-44-4-4400-444-400000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ584-44-44-4-4400-444-40000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ594-4-444-44-400-44-444-4400-400040-4000000000000000000000000000000000000000
χ604-4-444-44-400-44-44-44-4004000-404000000000000000000000000000000000000000
χ614-4-44-44-440000004-4-40040000000000000002-2-222-2-220000000000000000000000
χ624-4-44-44-440000004-4-4004000000000000000-222-2-222-20000000000000000000000
χ634-4-44-44-44000000-44400-40000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ644-4-44-44-44000000-44400-4000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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