Finite Group Databasebeta

← Group #299307

Character table — Group #299307

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244444444444444888888882488888888888888888888224444444488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-11-11-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1111-11-11
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1111-1-1-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-11111-11-1
χ911111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1
χ1011111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-111
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-11111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-111-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1111-1-11-1-11
χ172222222-2-2-2-22222222-2-22222-2-2-2-2-2-20000000022-2-200000000000000000000
χ182222222-2-2-2-22222222-2-2-2-2-2-22222-2-200000000-2-22200000000000000000000
χ192222222-2-2-2-2222-2-2-2-2-2-22222-2-2-2-22200000000-2-22200000000000000000000
χ202222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222220000000022-2-200000000000000000000
χ212222-2-2222-2-2-2-2222-2-2-22000000002-2000022-2-20000000022-2-2000000000000
χ222222-2-2222-2-2-2-2222-2-2-22000000002-20000-2-22200000000-2-222000000000000
χ232222-2-2222-2-2-2-22-2-222-2200000000-22000022-2-200000000-2-222000000000000
χ242222-2-2222-2-2-2-22-2-222-2200000000-220000-2-2220000000022-2-2000000000000
χ252222-2-22-2-222-2-2222-2-22-200000000-2222-2-20000000022-2-20000000000000000
χ262222-2-22-2-222-2-2222-2-22-200000000-22-2-22200000000-2-2220000000000000000
χ272222-2-22-2-222-2-22-2-2222-2000000002-222-2-200000000-2-2220000000000000000
χ282222-2-22-2-222-2-22-2-2222-2000000002-2-2-2220000000022-2-20000000000000000
χ292222-2-2-2222222-20000-2-222-2-222-2-2000000000000000000000022-200-2000000
χ302222-2-2-2222222-20000-2-222-2-222-2-20000000000000000000000-2-22002000000
χ312222-2-2-2222222-20000-2-2-2-222-2-22200000000000000000000002-2-2002000000
χ322222-2-2-2222222-20000-2-2-2-222-2-2220000000000000000000000-22200-2000000
χ332222-2-2-2-2-2-2-222-200002222-2-2-2-22200000000000000000000000002-202-20000
χ342222-2-2-2-2-2-2-222-200002222-2-2-2-2220000000000000000000000000-220-220000
χ352222-2-2-2-2-2-2-222-2000022-2-22222-2-200000000000000000000000002-20-220000
χ362222-2-2-2-2-2-2-222-2000022-2-22222-2-20000000000000000000000000-2202-20000
χ3722-2-22-2-200002-222i−2i2i−2i0000002-22-200i2−i2i2−i2i2−i2i2−i2002i−2i2−22−22−22−2000000000000
χ3822-2-22-2-200002-222i−2i2i−2i0000002-22-200−i2i2−i2i2−i2i2−i2i2002i−2i−22−22−22−22000000000000
χ3922-2-22-2-200002-222i−2i2i−2i000000-22-2200i2−i2i2−i2−i2i2−i2i200−2i2i2−22−2−22−22000000000000
χ4022-2-22-2-200002-222i−2i2i−2i000000-22-2200−i2i2−i2i2i2−i2i2−i200−2i2i−22−222−22−2000000000000
χ4122-2-22-2-200002-22−2i2i−2i2i0000002-22-200i2−i2i2−i2i2−i2i2−i200−2i2i−22−22−22−22000000000000
χ4222-2-22-2-200002-22−2i2i−2i2i0000002-22-200−i2i2−i2i2−i2i2−i2i200−2i2i2−22−22−22−2000000000000
χ4322-2-22-2-200002-22−2i2i−2i2i000000-22-2200i2−i2i2−i2−i2i2−i2i2002i−2i−22−222−22−2000000000000
χ4422-2-22-2-200002-22−2i2i−2i2i000000-22-2200−i2i2−i2i2i2−i2i2−i2002i−2i2−22−2−22−22000000000000
χ4522-2-2-22-20000-2222i−2i−2i2i002-22-2000000i2−i2−i2i2i2−i2−i2i22i−2i002−2−222−2−22000000000000
χ4622-2-2-22-20000-2222i−2i−2i2i002-22-2000000−i2i2i2−i2−i2i2i2−i22i−2i00−222−2−222−2000000000000
χ4722-2-2-22-20000-2222i−2i−2i2i00-22-22000000i2−i2−i2i2−i2i2i2−i2−2i2i002−2−22−222−2000000000000
χ4822-2-2-22-20000-2222i−2i−2i2i00-22-22000000−i2i2i2−i2i2−i2−i2i2−2i2i00−222−22−2−22000000000000
χ4922-2-2-22-20000-222−2i2i2i−2i002-22-2000000i2−i2−i2i2i2−i2−i2i2−2i2i00−222−2−222−2000000000000
χ5022-2-2-22-20000-222−2i2i2i−2i002-22-2000000−i2i2i2−i2−i2i2i2−i2−2i2i002−2−222−2−22000000000000
χ5122-2-2-22-20000-222−2i2i2i−2i00-22-22000000i2−i2−i2i2−i2i2i2−i22i−2i00−222−22−2−22000000000000
χ5222-2-2-22-20000-222−2i2i2i−2i00-22-22000000−i2i2i2−i2i2−i2−i2i22i−2i002−2−22−222−2000000000000
χ53444444-444-4-4-4-4-400004-4000000000000000000000000000000000000000000
χ54444444-4-4-444-4-4-40000-44000000000000000000000000000000000000000000
χ5544-4-44-440000-44-40000004-4-4400000000000000000000000000000000000000
χ5644-4-44-440000-44-4000000-444-400000000000000000000000000000000000000
χ5744-4-4-44400004-4-400000000004-4-440000000000000000000000000000000000
χ5844-4-4-44400004-4-40000000000-444-40000000000000000000000000000000000
χ598-88-80008-800000000000000000000000000000000000000000000000000000
χ608-88-8000-8800000000000000000000000000000000000000000000000000000
χ618-8-88000008-8000000000000000000000000000000000000000000000000000
χ628-8-8800000-88000000000000000000000000000000000000000000000000000

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