Finite Group Databasebeta

← Group #503294

Character table — Group #503294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order122222444444442244448888888844888816161616161616161616161616161616444444444444
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
χ911111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ1822222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ1922222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000
χ21222222-2-222-2-2-2-222-2-22-2000000002-2000022−2−222−2−222−2−222−2−2000000000000
χ22222222-2-222-2-2-2-222-2-22-2000000002-20000−2−222−2−222−2−222−2−222000000000000
χ23222222-2-222-2-2-2-2-2-2222-200000000-22000022−2−222−2−2−2−222−2−222000000000000
χ24222222-2-222-2-2-2-2-2-2222-200000000-220000−2−222−2−22222−2−222−2−2000000000000
χ25222222-2-2-2-222-2-222-2-2-2200000000-22000022−2−2−2−22222−2−2−2−222000000000000
χ26222222-2-2-2-222-2-222-2-2-2200000000-220000−2−22222−2−2−2−22222−2−2000000000000
χ27222222-2-2-2-222-2-2-2-222-22000000002-2000022−2−2−2−222−2−22222−2−2000000000000
χ28222222-2-2-2-222-2-2-2-222-22000000002-20000−2−22222−2−222−2−2−2−222000000000000
χ292222-2-2-2-22222220000-2-222-2-222-2-200000000000000000000002-22-200000000
χ302222-2-2-2-22222220000-2-222-2-222-2-20000000000000000000000-22-2200000000
χ312222-2-2-2-22222220000-2-2-2-222-2-222000000000000000000000000002-22-20000
χ322222-2-2-2-22222220000-2-2-2-222-2-22200000000000000000000000000-22-220000
χ332222-2-2-2-2-2-2-2-22200002222-2-2-2-222000000000000000000000000002-2-220000
χ342222-2-2-2-2-2-2-2-22200002222-2-2-2-22200000000000000000000000000-222-20000
χ352222-2-2-2-2-2-2-2-222000022-2-22222-2-200000000000000000000002-2-2200000000
χ362222-2-2-2-2-2-2-2-222000022-2-22222-2-20000000000000000000000-222-200000000
χ3722-2-22-22-200002-22-22-20000002-22-2002-20000002-22-200002-22-2000000000000
χ3822-2-22-22-200002-22-22-20000002-22-2002-2000000-22-220000-22-22000000000000
χ3922-2-22-22-200002-22-22-2000000-22-2200-22002-22-200002-22-20000000000000000
χ4022-2-22-22-200002-22-22-2000000-22-2200-2200-22-220000-22-220000000000000000
χ4122-2-22-22-200002-2-22-220000002-22-200-220000002-22-20000-22-22000000000000
χ4222-2-22-22-200002-2-22-220000002-22-200-22000000-22-2200002-22-2000000000000
χ4322-2-22-22-200002-2-22-22000000-22-22002-2002-22-20000-22-220000000000000000
χ4422-2-22-22-200002-2-22-22000000-22-22002-200-22-2200002-22-20000000000000000
χ4522-2-22-2-220000-222-2-22002-22-2000000002-22−2−222−2−222−2−222−2−22000000000000
χ4622-2-22-2-220000-222-2-22002-22-2000000002-2−222−2−222−2−222−2−222−2000000000000
χ4722-2-22-2-220000-222-2-2200-22-2200000000-222−2−22−222−22−2−22−222−2000000000000
χ4822-2-22-2-220000-222-2-2200-22-2200000000-22−222−22−2−22−222−22−2−22000000000000
χ4922-2-22-2-220000-22-222-2002-22-200000000-222−2−222−2−22−222−2−222−2000000000000
χ5022-2-22-2-220000-22-222-2002-22-200000000-22−222−2−222−22−2−222−2−22000000000000
χ5122-2-22-2-220000-22-222-200-22-22000000002-22−2−22−222−2−222−22−2−22000000000000
χ5222-2-22-2-220000-22-222-200-22-22000000002-2−222−22−2−222−2−22−222−2000000000000
χ534444-4-44444-4-4-4-40000-44000000000000000000000000000000000000000000
χ544444-4-444-4-444-4-400004-4000000000000000000000000000000000000000000
χ5544-4-4-444-40000-440000004-4-4400000000000000000000000000000000000000
χ5644-4-4-444-40000-44000000-444-400000000000000000000000000000000000000
χ5744-4-4-44-4400004-400000000004-4-440000000000000000000000000000000000
χ5844-4-4-44-4400004-40000000000-444-40000000000000000000000000000000000
χ598-88-80000008i−8i00000000000000000000000000000000000000000000000000
χ608-88-8000000−8i8i00000000000000000000000000000000000000000000000000
χ618-8-8800008i−8i0000000000000000000000000000000000000000000000000000
χ628-8-880000−8i8i0000000000000000000000000000000000000000000000000000

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