Finite Group Databasebeta

← Group #283245

Character table — Group #283245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
χ71111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1
χ81111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1111111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111
χ17222222222-2-222-2-22-22222-20000-2-20000220022-2-20000000000000-200000000000
χ18222222222-2-222-2-22-22222-20000-2-20000-2-200-2-2220000000000000200000000000
χ19222222222-2-222-2-22-2-2-2-2-2-200002200002200-2-2220000000000000-200000000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000220000-2-20022-2-20000000000000200000000000
χ2122222222-222-2-222-2-20000-2222200222200-2-20000-2-200000000-200000000000000
χ2222222222-222-2-222-2-20000-2222200-2-2-2-200220000-2-200000000200000000000000
χ2322222222-222-2-222-2-20000-2-2-2-2-20022-2-2002200002200000000-200000000000000
χ2422222222-222-2-222-2-20000-2-2-2-2-200-2-22200-2-200002200000000200000000000000
χ2522-2-22-2-22222-2-2-2-22222-2-2-200002-2002i−2i002i−2i0000000000000002i−2i000000000000
χ2622-2-22-2-22222-2-2-2-22222-2-2-200002-200−2i2i00−2i2i000000000000000−2i2i000000000000
χ2722-2-22-2-22222-2-2-2-222-2-222-20000-22002i−2i002i−2i000000000000000−2i2i000000000000
χ2822-2-22-2-22222-2-2-2-222-2-222-20000-2200−2i2i00−2i2i0000000000000002i−2i000000000000
χ2922-2-22-2-222-2-2-2-2222-222-2-220000-2200000000000000000000000000002-200002-20
χ3022-2-22-2-222-2-2-2-2222-222-2-220000-220000000000000000000000000000-220000-220
χ3122-2-22-2-222-2-2-2-2222-2-2-222200002-200000000000000000000000000002-20000-220
χ3222-2-22-2-222-2-2-2-2222-2-2-222200002-20000000000000000000000000000-2200002-20
χ3322-2-22-2-22-22222-2-2-2-200002000000002i−2i00−2i2i0000002i2i−2i−2i000000002-2000000000
χ3422-2-22-2-22-22222-2-2-2-200002000000002i−2i00−2i2i000000−2i−2i2i2i00000000-22000000000
χ3522-2-22-2-22-22222-2-2-2-20000200000000−2i2i002i−2i0000002i2i−2i−2i00000000-22000000000
χ3622-2-22-2-22-22222-2-2-2-20000200000000−2i2i002i−2i000000−2i−2i2i2i000000002-2000000000
χ372-22-222-2-2-2002-200202i−2i2i−2i022−2−20000002i−2i002-2002−2i2−i2i2−i222−2−200000000i2−i200000
χ382-22-222-2-2-2002-200202i−2i2i−2i022−2−2000000−2i2i00-22002−2i2−i2i2−i2−2−22200000000−i2i200000
χ392-22-222-2-2-2002-200202i−2i2i−2i0−2−2220000002i−2i002-200−22−i2i2−i2i2−2−22200000000−i2i200000
χ402-22-222-2-2-2002-200202i−2i2i−2i0−2−222000000−2i2i00-2200−22−i2i2−i2i222−2−200000000i2−i200000
χ412-22-222-2-2-2002-20020−2i2i−2i2i022−2−20000002i−2i00-22002−2−i2i2−i2i2−2−22200000000i2−i200000
χ422-22-222-2-2-2002-20020−2i2i−2i2i022−2−2000000−2i2i002-2002−2−i2i2−i2i222−2−200000000−i2i200000
χ432-22-222-2-2-2002-20020−2i2i−2i2i0−2−2220000002i−2i00-2200−22i2−i2i2−i222−2−200000000−i2i200000
χ442-22-222-2-2-2002-20020−2i2i−2i2i0−2−222000000−2i2i002-200−22i2−i2i2−i2−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-40000000000000022−2222−2200000000000022−220000002-22-2000000000000000
χ474444-4-4-4-40000000000000022−2222−22000000000000−2222000000-22-22000000000000000
χ484444-4-4-4-400000000000000−2222−222200000000000022−22000000-22-22000000000000000
χ494444-4-4-4-400000000000000−2222−2222000000000000−22220000002-22-2000000000000000
χ5044-4-44-4-44-4-4-44444-440000-40000000000000000000000000000000000000000000
χ514-44-444-4-4400-4400-40000002222−22−2200000000000000−222200000000000000000000000
χ524-44-444-4-4400-4400-4000000−22−2222220000000000000022−2200000000000000000000000
χ534-44-4-4-44404-4004-4000000000000000000000000000000022−22−2222000000000000000
χ544-44-4-4-44404-4004-40000000000000000000000000000000−222222−22000000000000000
χ554-44-4-4-4440-4400-4400000004-4-44000000000000000000000000000000000000000
χ564-44-4-4-4440-4400-440000000-444-4000000000000000000000000000000000000000
χ574-4-444-44-44004-400-40000000000000000000000000022−22−22220000000000000000000
χ584-4-444-44-44004-400-400000000000000000000000000−222222−220000000000000000000
χ594-4-444-44-4-400-4400404i−4i−4i4i00000000000000000000000000000000000000000000
χ604-4-444-44-4-400-440040−4i4i4i−4i00000000000000000000000000000000000000000000
χ614-4-44-44-4404-400-4400000000000000000000000000000000000000000000022−22000
χ624-4-44-44-4404-400-44000000000000000000000000000000000000000000000−2222000
χ634-4-44-44-440-44004-400000000000004-400000000000000000000000000000000000
χ644-4-44-44-440-44004-40000000000000-4400000000000000000000000000000000000
χ6588-8-8-888-8000000000000000000000000000000000000000000000000000000000

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