Finite Group Databasebeta

← Group #350190

Character table — Group #350190

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444442244444444444444222244444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ91111111111111111-1-1-1-11111-1-1-1-1-1-1111111-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11111-1-1-1-1-1-1111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ172222222222-2-222-2-2222200000000-2-2-2-20000-2000022-2-2-2-2220000000000000000000000
χ182222222222-2-222-2-2222200000000-2-2-2-20000-20000-2-22222-2-20000000000000000000000
χ192222222222-2-222-2-2-2-2-2-20000000022-2-20000200002222-2-2-2-20000000000000000000000
χ202222222222-2-222-2-2-2-2-2-20000000022-2-2000020000-2-2-2-222220000000000000000000000
χ2122222222-2-222-2-22222-2-22222222222-2-20000-2-2-2-2-2000000000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-222-2-20000-22222000000000000000000000000000000
χ2322222222-2-222-2-222-2-2222222-2-2-2-2-2-2-2-200002-2-222000000000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-22222-2-2-2-20000222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-200000000-2-22222-2-2200000000000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-200000000-2-222-2-2222000000000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200000000222222-2-2-2000000000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222000000002222-2-222-200000000000022-2-2000000000000000000
χ29222-2-2-2-222-22-22-22-2000000002i2i−2i−2i002-200000002i−2i2i−2i002i−2i002-22-2000000000000000000
χ30222-2-2-2-222-22-22-22-2000000002i2i−2i−2i002-200000002i−2i−2i2i00−2i2i00-22-22000000000000000000
χ31222-2-2-2-222-22-22-22-200000000−2i−2i2i2i002-20000000−2i2i2i−2i002i−2i00-22-22000000000000000000
χ32222-2-2-2-222-22-22-22-200000000−2i−2i2i2i002-20000000−2i2i−2i2i00−2i2i002-22-2000000000000000000
χ33222-2-2-2-222-2-222-2-2200002i2i−2i−2i000000-222-22-202i−2i002i−2i00−2i2i000000000000000000000000
χ34222-2-2-2-222-2-222-2-2200002i2i−2i−2i000000-22-22-2202i−2i00−2i2i002i−2i000000000000000000000000
χ35222-2-2-2-222-2-222-2-220000−2i−2i2i2i000000-222-22-20−2i2i00−2i2i002i−2i000000000000000000000000
χ36222-2-2-2-222-2-222-2-220000−2i−2i2i2i000000-22-22-220−2i2i002i−2i00−2i2i000000000000000000000000
χ37222-2-2-2-22-222-2-222-2000000002i2i−2i−2i00-222-2-22000−2i2i002i−2i002i−2i0000000000000000000000
χ38222-2-2-2-22-222-2-222-2000000002i2i−2i−2i00-22-222-2000−2i2i00−2i2i00−2i2i0000000000000000000000
χ39222-2-2-2-22-222-2-222-200000000−2i−2i2i2i00-222-2-220002i−2i00−2i2i00−2i2i0000000000000000000000
χ40222-2-2-2-22-222-2-222-200000000−2i−2i2i2i00-22-222-20002i−2i002i−2i002i−2i0000000000000000000000
χ41222-2-2-2-22-22-22-22-2200002i2i−2i−2i0000002-200000−2i2i00002i−2i00−2i2i-222-2000000000000000000
χ42222-2-2-2-22-22-22-22-2200002i2i−2i−2i0000002-200000−2i2i0000−2i2i002i−2i2-2-22000000000000000000
χ43222-2-2-2-22-22-22-22-220000−2i−2i2i2i0000002-2000002i−2i00002i−2i00−2i2i2-2-22000000000000000000
χ44222-2-2-2-22-22-22-22-220000−2i−2i2i2i0000002-2000002i−2i0000−2i2i002i−2i-222-2000000000000000000
χ452-2-222-2-22002200-2-22-2002i−2i2i−2i2i−2i2i−2i2-20000000000000000000000022−2−222−2−2i2−i2i2−i2000000
χ462-2-222-2-22002200-2-22-2002i−2i2i−2i2i−2i2i−2i2-200000000000000000000000−2−222−2−222−i2i2−i2i2000000
χ472-2-222-2-22002200-2-22-200−2i2i−2i2i−2i2i−2i2i2-20000000000000000000000022−2−222−2−2−i2i2−i2i2000000
χ482-2-222-2-22002200-2-22-200−2i2i−2i2i−2i2i−2i2i2-200000000000000000000000−2−222−2−222i2−i2i2−i2000000
χ492-2-222-2-22002200-2-2-22002i−2i2i−2i−2i2i−2i2i-220000000000000000000000022−2−2−2−222i2−i2−i2i2000000
χ502-2-222-2-22002200-2-2-22002i−2i2i−2i−2i2i−2i2i-2200000000000000000000000−2−22222−2−2−i2i2i2−i2000000
χ512-2-222-2-22002200-2-2-2200−2i2i−2i2i2i−2i2i−2i-220000000000000000000000022−2−2−2−222−i2i2i2−i2000000
χ522-2-222-2-22002200-2-2-2200−2i2i−2i2i2i−2i2i−2i-2200000000000000000000000−2−22222−2−2i2−i2−i2i2000000
χ5344-44-44-4-44400-4-400000000000000000000000000000000000000022−2222−2200000000000000
χ5444-44-44-4-44400-4-4000000000000000000000000000000000000000−2222−222200000000000000
χ5544-44-44-4-4-4-4004400000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ5644-44-44-4-4-4-400440000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5744-4-44-44-44-400-440000000000000000000000000000000000000000000000000002i2−2i20000
χ5844-4-44-44-44-400-44000000000000000000000000000000000000000000000000000−2i22i20000
χ5944-4-44-44-4-44004-4000000000000000000000000000000000000000000000000000002i2−2i200
χ6044-4-44-44-4-44004-400000000000000000000000000000000000000000000000000000−2i22i200
χ614-444-4-44-400000000004i−4i0000000000000000000000000000000002-2-222i−2i−2i2i0000000000
χ624-444-4-44-400000000004i−4i000000000000000000000000000000000-222-2−2i2i2i−2i0000000000
χ634-444-4-44-40000000000−4i4i0000000000000000000000000000000002-2-22−2i2i2i−2i0000000000
χ644-444-4-44-40000000000−4i4i000000000000000000000000000000000-222-22i−2i−2i2i0000000000
χ654-4-444-4-4400-4-400444-40000000000-4400000000000000000000000000000000000000000
χ664-4-444-4-4400-4-40044-4400000000004-400000000000000000000000000000000000000000
χ674-4-4-4-4444004-400-44000000004-4-440000000000000000000000000000000000000000000
χ684-4-4-4-4444004-400-4400000000-444-40000000000000000000000000000000000000000000
χ694-4-4-4-444400-44004-400004-4-4400000000000000000000000000000000000000000000000
χ704-4-4-4-444400-44004-40000-444-400000000000000000000000000000000000000000000000
χ718-88-888-8-8000000000000000000000000000000000000000000000000000000000000000

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