Finite Group Databasebeta

← Group #299201

Character table — Group #299201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244448888444444448888882488888888888888888888224444444444
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
χ511111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11
χ111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-11-11
χ121111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-111-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-1-111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-11-11-111-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-222-2-20000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000000000000000
χ21222222-2-2-2-2000022-2-222-2-2000000-220000000022-2-2000022-2-2000000000000
χ22222222-2-2-2-2000022-2-222-2-2000000-2200000000-2-2220000-2-222000000000000
χ23222222-2-2-2-2000022-2-2-2-2220000002-2000022-2-2000022-2-20000000000000000
χ24222222-2-2-2-2000022-2-2-2-2220000002-20000-2-2220000-2-2220000000000000000
χ25222222-2-2-2-20000-2-22222-2-20000002-20000000022-2-20000-2-222000000000000
χ26222222-2-2-2-20000-2-22222-2-20000002-200000000-2-222000022-2-2000000000000
χ27222222-2-2-2-20000-2-222-2-222000000-22000022-2-20000-2-2220000000000000000
χ28222222-2-2-2-20000-2-222-2-222000000-220000-2-222000022-2-20000000000000000
χ292222-2-2-2-222222200002-22-2-2-222-2-2000000000000000000000022-2-200000000
χ302222-2-2-2-222222200002-22-2-2-222-2-20000000000000000000000-2-22200000000
χ312222-2-2-2-22222220000-22-22-2-2-2-2220000000000000000000000000022-2-20000
χ322222-2-2-2-22222220000-22-22-2-2-2-22200000000000000000000000000-2-2220000
χ332222-2-2-2-222-2-2-2-200002-22-222-2-22200000000000000000000002-2-2200000000
χ342222-2-2-2-222-2-2-2-200002-22-222-2-2220000000000000000000000-222-200000000
χ352222-2-2-2-222-2-2-2-20000-22-222222-2-2000000000000000000000000002-2-220000
χ362222-2-2-2-222-2-2-2-20000-22-222222-2-200000000000000000000000000-222-20000
χ3722-2-2-222-22-200002i−2i2i−2i0000002-22-200002i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ3822-2-2-222-22-200002i−2i2i−2i0000002-22-200002i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ3922-2-2-222-22-200002i−2i2i−2i000000-22-220000−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ4022-2-2-222-22-200002i−2i2i−2i000000-22-220000−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ4122-2-2-222-22-20000−2i2i−2i2i0000002-22-20000−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ4222-2-2-222-22-20000−2i2i−2i2i0000002-22-20000−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ4322-2-2-222-22-20000−2i2i−2i2i000000-22-2200002i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ4422-2-2-222-22-20000−2i2i−2i2i000000-22-2200002i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ4522-2-2-22-22-2222-2-22i−2i−2i2i00002-20000002i−2i00i2−i2−i2i2i2−i2−i2i22−2−222−2−22000000000000
χ4622-2-2-22-22-2222-2-22i−2i−2i2i00002-20000002i−2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−2000000000000
χ4722-2-2-22-22-2222-2-2−2i2i2i−2i00002-2000000−2i2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−2000000000000
χ4822-2-2-22-22-2222-2-2−2i2i2i−2i00002-2000000−2i2i00−i2i2i2−i2−i2i2i2−i22−2−222−2−22000000000000
χ4922-2-2-22-22-22-2-2222i−2i−2i2i0000-22000000−2i2i00i2−i2−i2i2−i2i2i2−i22−2−22−222−2000000000000
χ5022-2-2-22-22-22-2-2222i−2i−2i2i0000-22000000−2i2i00−i2i2i2−i2i2−i2−i2i2−222−22−2−22000000000000
χ5122-2-2-22-22-22-2-222−2i2i2i−2i0000-220000002i−2i00i2−i2−i2i2−i2i2i2−i2−222−22−2−22000000000000
χ5222-2-2-22-22-22-2-222−2i2i2i−2i0000-220000002i−2i00−i2i2i2−i2i2−i2−i2i22−2−22−222−2000000000000
χ534444-4-444-4-4000000004-4-440000000000000000000000000000000000000000
χ544444-4-444-4-400000000-444-40000000000000000000000000000000000000000
χ5544-4-44-44-4-4444-4-400000000-4400000000000000000000000000000000000000
χ5644-4-44-44-4-44-4-444000000004-400000000000000000000000000000000000000
χ5744-4-44-4-444-4000000000000004-4-440000000000000000000000000000000000
χ5844-4-44-4-444-400000000000000-444-40000000000000000000000000000000000
χ598-88-800000042−4242−42000000000000000000000000000000000000000000000000
χ608-88-8000000−4242−4242000000000000000000000000000000000000000000000000
χ618-8-8800000042−42−4242000000000000000000000000000000000000000000000000
χ628-8-88000000−424242−42000000000000000000000000000000000000000000000000

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