Finite Group Databasebeta

← Group #295490

Character table — Group #295490

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888444444444488888888222244888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1
χ91111111111-1-1-1-1111-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11-111-1-11-1
χ101111111111-1-1-1-1111-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-111-11
χ111111111111-1-1-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-111-11
χ121111111111-1-1-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1111-1-11-1
χ131111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-111-1-1-11
χ141111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-11-1-1111-1
χ151111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1111-1
χ161111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-1-1-1111-1-1-11
χ1722222222222222-2-2-2222222-2-2-20000-2-2-2-200000000000000000000222200000000000000-2-2000000
χ1822222222222222-2-2-2222222-2-2-20000-2-2-2-200000000000000000000-2-2-2-20000000000000022000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-222-222000022-2-20000000000000000000022-2-200000000000000-22000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-222-222000022-2-200000000000000000000-2-222000000000000002-2000000
χ2122222222-2-22222222-2-2-2-2-2-22-2-2222222-2-2000000000000000022-2-20000-2-200000000000000000000
χ2222222222-2-22222222-2-2-2-2-2-22-2-2-2-2-2-222-2-20000000000000000-2-22200002200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-2220000-2-22200000000000000000000000000000000002-22-200000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2220000-2-2220000000000000000000000000000000000-22-2200000000
χ2522222222-2-2-2-2-2-22222222-2-22222222-2-2-2-20000000000000000-2-2220000-2-200000000000000000000
χ2622222222-2-2-2-2-2-22222222-2-2222-2-2-2-2-2-2-2-2000000000000000022-2-200002200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-20000222200000000000000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2000022220000000000000000000000000000000000-222-200000000
χ29222-2-22-2-2-2-222-2-200022-2-22200000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i2i−2i00000000000000002−22−200
χ30222-2-22-2-2-2-222-2-200022-2-22200000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i−2i2i0000000000000000−22−2200
χ31222-2-22-2-2-2-222-2-200022-2-22200000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i2i−2i0000000000000000−22−2200
χ32222-2-22-2-2-2-222-2-200022-2-22200000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i−2i2i00000000000000002−22−200
χ33222-2-22-2-2-2-2-2-222000-2-2222200000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i−2i2i00000000000000002−2−2200
χ34222-2-22-2-2-2-2-2-222000-2-2222200000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i2i−2i0000000000000000−222−200
χ35222-2-22-2-2-2-2-2-222000-2-2222200000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i−2i2i0000000000000000−222−200
χ36222-2-22-2-2-2-2-2-222000-2-2222200000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i2i−2i00000000000000002−2−2200
χ3722-222-2-2-22-200002-2-200002-22002i2i−2i−2i002-2000000002i2i−2i−2i2i2i−2i−2i000000002i−2i000022-2-2000000000000
χ3822-222-2-2-22-200002-2-200002-22002i2i−2i−2i002-200000000−2i−2i2i2i−2i−2i2i2i000000002i−2i0000-2-222000000000000
χ3922-222-2-2-22-200002-2-200002-2200−2i−2i2i2i002-2000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i0000-2-222000000000000
χ4022-222-2-2-22-200002-2-200002-2200−2i−2i2i2i002-200000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i000022-2-2000000000000
χ4122-222-2-2-2-2200002-2-20000-222002i2i−2i−2i00-222i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i22-2-20000000000000000
χ4222-222-2-2-2-2200002-2-20000-222002i2i−2i−2i00-22−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i-2-2220000000000000000
χ4322-222-2-2-2-2200002-2-20000-22200−2i−2i2i2i00-222i2i−2i−2i2i2i−2i−2i00000000000000002i−2i-2-2220000000000000000
χ4422-222-2-2-2-2200002-2-20000-22200−2i−2i2i2i00-22−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i22-2-20000000000000000
χ452-222-2-2-22002-22-222-2000000-2002i−2i2i−2i2-2002−22−22−22−22−22−22−22−22i−2i00000000i2−i2i2−i2i2−i2i2−i2000000000000
χ462-222-2-2-22002-22-222-2000000-2002i−2i2i−2i2-200−22−22−22−22−22−22−22−222i−2i00000000−i2i2−i2i2−i2i2−i2i2000000000000
χ472-222-2-2-22002-22-222-2000000-200−2i2i−2i2i2-2002−22−22−22−22−22−22−22−2−2i2i00000000−i2i2−i2i2−i2i2−i2i2000000000000
χ482-222-2-2-22002-22-222-2000000-200−2i2i−2i2i2-200−22−22−22−22−22−22−22−22−2i2i00000000i2−i2i2−i2i2−i2i2−i2000000000000
χ492-222-2-2-2200-22-2222-2000000-2002i−2i2i−2i-22002−22−22−22−2−22−22−22−22−2i2i00000000i2−i2i2−i2−i2i2−i2i2000000000000
χ502-222-2-2-2200-22-2222-2000000-2002i−2i2i−2i-2200−22−22−22−222−22−22−22−2−2i2i00000000−i2i2−i2i2i2−i2i2−i2000000000000
χ512-222-2-2-2200-22-2222-2000000-200−2i2i−2i2i-22002−22−22−22−2−22−22−22−222i−2i00000000−i2i2−i2i2i2−i2i2−i2000000000000
χ522-222-2-2-2200-22-2222-2000000-200−2i2i−2i2i-2200−22−22−22−222−22−22−22−22i−2i00000000i2−i2i2−i2−i2i2−i2i2000000000000
χ532-2-22-222-20000002-222-22-200-22-22-2-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2002-2000000−i2i2i2−i2−i2i2i2−i2000000000000
χ542-2-22-222-20000002-222-22-200-22-22-2-220000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2002-2000000i2−i2−i2i2i2−i2−i2i2000000000000
χ552-2-22-222-20000002-222-22-200-22-2-222-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200-22000000i2−i2−i2i2i2−i2−i2i2000000000000
χ562-2-22-222-20000002-222-22-200-22-2-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200-22000000−i2i2i2−i2−i2i2i2−i2000000000000
χ572-2-22-222-20000002-22-22-2200-2-222-2-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200-22000000−i2i2i2−i2i2−i2−i2i2000000000000
χ582-2-22-222-20000002-22-22-2200-2-222-2-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200-22000000i2−i2−i2i2−i2i2i2−i2000000000000
χ592-2-22-222-20000002-22-22-2200-2-22-222-20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2002-2000000i2−i2−i2i2−i2i2i2−i2000000000000
χ602-2-22-222-20000002-22-22-2200-2-22-222-20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2002-2000000−i2i2i2−i2i2−i2−i2i2000000000000
χ61444-4-44-4-44444-4-4000-4-444-4-4000000000000000000000000000000000000000000000000000000000
χ62444-4-44-4-444-4-44400044-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ6344-444-4-4-44-40000-44400004-4-400000000-440000000000000000000000000000000000000000000000
χ6444-444-4-4-4-440000-4440000-44-4000000004-40000000000000000000000000000000000000000000000
χ6544-4-4-4-4444-400000000000-44000000000002222−22−22−22−22222200000000000000000000000000000000000000
χ6644-4-4-4-4444-400000000000-4400000000000−22−2222222222−22−2200000000000000000000000000000000000000
χ6744-4-4-4-444-44000000000004-400000000000000000002222−22−22−22−222222000000000000000000000000000000
χ6844-4-4-4-444-44000000000004-40000000000000000000−22−2222222222−22−22000000000000000000000000000000
χ694-444-4-4-44004-44-4-4-440000004000000-44000000000000000000000000000000000000000000000000
χ704-444-4-4-4400-44-44-4-4400000040000004-4000000000000000000000000000000000000000000000000
χ714-44-44-44-4004-4-44000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ724-44-44-44-4004-4-4400000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ734-44-44-44-400-444-4000000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ744-44-44-44-400-444-400000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ754-4-44-444-4000000-44-44-44-4004-44000000000000000000000000000000000000000000000000000000
χ764-4-44-444-4000000-44-4-44-440044-4000000000000000000000000000000000000000000000000000000
χ774-4-4-444-440000000004-4-4400000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ784-4-4-444-440000000004-4-440000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ794-4-4-444-44000000000-444-400000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ804-4-4-444-44000000000-444-40000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000

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