Finite Group Databasebeta

← Group #394413

Character table — Group #394413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222222222222222222222222222444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ9111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ14111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-222222222-2-2-2-22-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ1822222222222-2-2-2-222222222-2-2-2-22-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222000000000000000022-2-2-2-222000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222220000000000000000-2-22222-2-2000000000000000000000000
χ2122222222-2-2-222-2-22222-2-2-2-222-2-2-222-2-200000000000000000000000000000000002-2002-200000000
χ2222222222-2-2-222-2-22222-2-2-2-222-2-2-222-2-20000000000000000000000000000000000-2200-2200000000
χ2322222222-2-2-222-2-2-2-2-2-2222222-2-2-2-2-22200000000000000000000000000000000002-200-2200000000
χ2422222222-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2220000000000000000000000000000000000-22002-200000000
χ2522222222-2-2-2-2-2222222-2-2-2-2-2-222-2-2-222000000000000000000000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2222222-2-2-2-2-2-222-2-2-22200000000000000000000000000000000-2200-220000000000
χ2722222222-2-2-2-2-222-2-2-2-22222-2-222-222-2-2000000000000000000000000000000002-200-220000000000
χ2822222222-2-2-2-2-222-2-2-2-22222-2-222-222-2-200000000000000000000000000000000-22002-20000000000
χ29222-2-22-2-222-2222222-2-222-2-2-2-2-2-2-22-22-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ30222-2-22-2-222-2222222-2-222-2-2-2-2-2-2-22-22-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ31222-2-22-2-222-22222-2-222-2-222-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ32222-2-22-2-222-22222-2-222-2-222-2-2-2-2-2-22-22-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ33222-2-22-2-222-2-2-2-2-222-2-222-2-22222-2-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ34222-2-22-2-222-2-2-2-2-222-2-222-2-22222-2-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ35222-2-22-2-222-2-2-2-2-2-2-222-2-2222222-22-22-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ36222-2-22-2-222-2-2-2-2-2-2-222-2-2222222-22-22-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ37222-2-22-2-2-2-2222-2-222-2-2-2-222-2-22222-2-22000000000000000000000000000000000000000000002i−2i2i−2i
χ38222-2-22-2-2-2-2222-2-222-2-2-2-222-2-22222-2-2200000000000000000000000000000000000000000000−2i2i−2i2i
χ39222-2-22-2-2-2-2222-2-2-2-22222-2-2-2-2222-222-2000000000000000000000000000000000000000000002i−2i−2i2i
χ40222-2-22-2-2-2-2222-2-2-2-22222-2-2-2-2222-222-200000000000000000000000000000000000000000000−2i2i2i−2i
χ41222-2-22-2-2-2-22-2-22222-2-2-2-22222-2-22-222-200000000000000000000000000000000000000002i−2i2i−2i0000
χ42222-2-22-2-2-2-22-2-22222-2-2-2-22222-2-22-222-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ43222-2-22-2-2-2-22-2-222-2-22222-2-222-2-222-2-2200000000000000000000000000000000000000002i−2i−2i2i0000
χ44222-2-22-2-2-2-22-2-222-2-22222-2-222-2-222-2-220000000000000000000000000000000000000000−2i2i2i−2i0000
χ452-2-2222-2-22-222-22-2000000002-22-2-200000000000022-2-222-2-200002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ462-2-2222-2-22-222-22-2000000002-22-2-200000000000022-2-222-2-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ472-2-2222-2-22-222-22-2000000002-22-2-2000000000000-2-222-2-22200002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ482-2-2222-2-22-222-22-2000000002-22-2-2000000000000-2-222-2-2220000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ492-2-2222-2-22-22-22-2200000000-22-22-2000022-2-222-2-20000000000002i−2i−2i2i00002i−2i2i−2i0000000000000000
χ502-2-2222-2-22-22-22-2200000000-22-22-2000022-2-222-2-2000000000000−2i2i2i−2i0000−2i2i−2i2i0000000000000000
χ512-2-2222-2-22-22-22-2200000000-22-22-20000-2-222-2-2220000000000002i−2i−2i2i0000−2i2i−2i2i0000000000000000
χ522-2-2222-2-22-22-22-2200000000-22-22-20000-2-222-2-222000000000000−2i2i2i−2i00002i−2i2i−2i0000000000000000
χ532-2-2-2-22222-2-22-22-200000000-22-22200000000000022-2-2-2-2222-22-2000000002-2-220000000000000000
χ542-2-2-2-22222-2-22-22-200000000-22-22200000000000022-2-2-2-222-22-2200000000-222-20000000000000000
χ552-2-2-2-22222-2-22-22-200000000-22-222000000000000-2-22222-2-22-22-200000000-222-20000000000000000
χ562-2-2-2-22222-2-22-22-200000000-22-222000000000000-2-22222-2-2-22-22000000002-2-220000000000000000
χ572-2-2-2-22222-2-2-22-22000000002-22-22000022-2-2-2-222000000002-2-2200002-2-2200000000000000000000
χ582-2-2-2-22222-2-2-22-22000000002-22-22000022-2-2-2-22200000000-222-20000-222-200000000000000000000
χ592-2-2-2-22222-2-2-22-22000000002-22-220000-2-22222-2-2000000002-2-220000-222-200000000000000000000
χ602-2-2-2-22222-2-2-22-22000000002-22-220000-2-22222-2-200000000-222-200002-2-2200000000000000000000
χ6144-44-4-44-4000000000004-44-40000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6244-44-4-44-4000000000004-44-4000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6344-44-4-44-400000000000-44-440000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6444-44-4-44-400000000000-44-44000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6544-4-44-4-44000000000004-4-440000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ6644-4-44-4-44000000000004-4-44000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ6744-4-44-4-4400000000000-444-40000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ6844-4-44-4-4400000000000-444-4000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ694-444-4-4-4400000004-44-400000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ704-444-4-4-4400000004-44-40000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ714-444-4-4-440000000-44-4400000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ724-444-4-4-440000000-44-440000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ734-44-44-44-400000004-4-4400000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ744-44-44-44-400000004-4-440000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ754-44-44-44-40000000-444-400000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ764-44-44-44-40000000-444-40000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ774-4-4444-4-4-44-44-4-44000000004-4-4440000000000000000000000000000000000000000000000000000
χ784-4-4444-4-4-44-4-444-400000000-444-440000000000000000000000000000000000000000000000000000
χ794-4-4-4-4444-4444-4-4400000000-444-4-40000000000000000000000000000000000000000000000000000
χ804-4-4-4-4444-444-444-4000000004-4-44-40000000000000000000000000000000000000000000000000000

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