Finite Group Databasebeta

← Group #507511

Character table — Group #507511

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order122222444488884444888888888844448816161616161616161616161616161616444488884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ182222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-20000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000000000000
χ212222-2-222-2-2222222-2-2-2-222-2-20000000000000000000000000000002i−2i2i−2i0000
χ222222-2-222-2-2222222-2-2-2-222-2-2000000000000000000000000000000−2i2i−2i2i0000
χ232222-2-222-2-22222-2-222-2-2-2-2220000000000000000000000000000002i−2i−2i2i0000
χ242222-2-222-2-22222-2-222-2-2-2-222000000000000000000000000000000−2i2i2i−2i0000
χ252222-2-222-2-2-2-2-2-222-2-222-2-222000000000000000000000000002-22-200000000
χ262222-2-222-2-2-2-2-2-222-2-222-2-22200000000000000000000000000-22-2200000000
χ272222-2-222-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000002-2-2200000000
χ282222-2-222-2-2-2-2-2-2-2-2222222-2-200000000000000000000000000-222-200000000
χ292222-2-2-2-22200002-22-200000022-2-200002-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ302222-2-2-2-22200002-22-200000022-2-200002-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ312222-2-2-2-22200002-22-2000000-2-2220000-22i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ322222-2-2-2-22200002-22-2000000-2-2220000-22−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ332222-2-2-2-2220000-22-2200000022-2-20000-22i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ342222-2-2-2-2220000-22-2200000022-2-20000-22−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ352222-2-2-2-2220000-22-22000000-2-22200002-2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ362222-2-2-2-2220000-22-22000000-2-22200002-2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ3722-2-22-22-22-200000000002-22-22-22-22-200002−22−22−22−22−22−22−22−2000000000000
χ3822-2-22-22-22-200000000002-22-22-22-22-20000−22−22−22−22−22−22−22−22000000000000
χ3922-2-22-22-22-200000000002-22-2-22-22-2200002−22−22−22−2−22−22−22−22000000000000
χ4022-2-22-22-22-200000000002-22-2-22-22-220000−22−22−22−222−22−22−22−2000000000000
χ4122-2-22-22-22-20000000000-22-222-22-2-2200002−22−2−22−222−22−2−22−22000000000000
χ4222-2-22-22-22-20000000000-22-222-22-2-220000−22−222−22−2−22−222−22−2000000000000
χ4322-2-22-22-22-20000000000-22-22-22-222-200002−22−2−22−22−22−222−22−2000000000000
χ4422-2-22-22-22-20000000000-22-22-22-222-20000−22−222−22−22−22−2−22−22000000000000
χ4522-2-2-22-222-222-2-200002-200002-2-22002-20000002i−2i−2i2i00002i−2i−2i2i000000000000
χ4622-2-2-22-222-222-2-200002-200002-2-22002-2000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ4722-2-2-22-222-222-2-200002-20000-222-200-220000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ4822-2-2-22-222-222-2-200002-20000-222-200-22000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ4922-2-2-22-222-2-2-2220000-2200002-2-2200-22002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ5022-2-2-22-222-2-2-2220000-2200002-2-2200-2200−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ5122-2-2-22-222-2-2-2220000-220000-222-2002-2002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ5222-2-2-22-222-2-2-2220000-220000-222-2002-200−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ53444444-4-4-4-400004-4-4400000000000000000000000000000000000000000000
χ54444444-4-4-4-40000-444-400000000000000000000000000000000000000000000
χ5544-4-44-4-44-4444-4-40000-44000000000000000000000000000000000000000000
χ5644-4-44-4-44-44-4-44400004-4000000000000000000000000000000000000000000
χ5744-4-4-444-4-4400000000004-4-4400000000000000000000000000000000000000
χ5844-4-4-444-4-440000000000-444-400000000000000000000000000000000000000
χ598-88-80000004i2−4i24i2−4i2000000000000000000000000000000000000000000000000
χ608-88-8000000−4i24i2−4i24i2000000000000000000000000000000000000000000000000
χ618-8-880000004i2−4i2−4i24i2000000000000000000000000000000000000000000000000
χ628-8-88000000−4i24i24i2−4i2000000000000000000000000000000000000000000000000

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