Finite Group Databasebeta

← Group #260151

Character table — Group #260151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888822224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ71111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1
χ91111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-1
χ101111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-111-1-111
χ111111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-111
χ121111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-11-1-11111-1-1
χ131111111111111-1-1-1-1111-1-11-1-1-1-1-1-1111-1-111-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111
χ141111111111111-1-1-1-1111-1-11-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-111-1-111-1-1
χ151111111111111-1-1-1-1111-1-11-1-1-1-1-1-1111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1-11111-1-1
χ161111111111111-1-1-1-1111-1-11-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1111-1-1-1-111
χ172222222222-2-2-2222222-2-2-2-2222222-222-2-2-2-2-20000000000000000000000000000000000
χ182222222222-2-2-2222222-2-2-2-222-2-2-2-2-2-2-22222-20000000000000000000000000000000000
χ192222222222-2-2-2-2-2-2-222-222-2-2-22222-2-2-2-2-22220000000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-222-222-2-2-2-2-2-2-2-22222-2-220000000000000000000000000000000000
χ2122222222-2-22222222-2-2222-2-2-20000-2000000-2222200000000000000000000-2-200000000
χ2222222222-2-22222222-2-2222-2-2-20000-2000000-2-2-2-2-2000000000000000000002200000000
χ2322222222-2-2222-2-2-2-2-2-22-2-2-2220000-2000000222-2-200000000000000000000-2200000000
χ2422222222-2-2222-2-2-2-2-2-22-2-2-2220000-20000002-2-222000000000000000000002-200000000
χ2522222222-2-2-2-2-22222-2-2-2-2-22-2-2000020000002000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-22-2-200002000000200000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222200002000000-2000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222200002000000-200000000000000000000-222-20000000000
χ29222-22-2-2-22-222-200002-2-200-2002i2i−2i−2i2002i−2i000000000002i2i−2i−2i00000000000000002-20000
χ30222-22-2-2-22-222-200002-2-200-2002i2i−2i−2i2002i−2i00000000000−2i−2i2i2i0000000000000000-220000
χ31222-22-2-2-22-222-200002-2-200-200−2i−2i2i2i200−2i2i000000000002i2i−2i−2i0000000000000000-220000
χ32222-22-2-2-22-222-200002-2-200-200−2i−2i2i2i200−2i2i00000000000−2i−2i2i2i00000000000000002-20000
χ33222-22-2-2-22-2-2-2200002-22002002i2i−2i−2i-200−2i2i000000022-2-20000000000000000002i−2i000000
χ34222-22-2-2-22-2-2-2200002-22002002i2i−2i−2i-200−2i2i0000000-2-222000000000000000000−2i2i000000
χ35222-22-2-2-22-2-2-2200002-2200200−2i−2i2i2i-2002i−2i000000022-2-2000000000000000000−2i2i000000
χ36222-22-2-2-22-2-2-2200002-2200200−2i−2i2i2i-2002i−2i0000000-2-2220000000000000000002i−2i000000
χ3722-2-2-22-222200022-2-2-2-200002-22-22-202-200000000000000000i2i2−i2−i2i2i2−i2−i20000000000i2−i2i2−i2
χ3822-2-2-22-222200022-2-2-2-200002-22-22-202-200000000000000000−i2−i2i2i2−i2−i2i2i20000000000−i2i2−i2i2
χ3922-2-2-22-222200022-2-2-2-200002-2-22-220-2200000000000000000i2i2−i2−i2i2i2−i2−i20000000000−i2i2−i2i2
χ4022-2-2-22-222200022-2-2-2-200002-2-22-220-2200000000000000000−i2−i2i2i2−i2−i2i2i20000000000i2−i2i2−i2
χ4122-2-2-22-2222000-2-222-2-20000-222-22-20-2200000000000000000i2i2−i2−i2−i2−i2i2i20000000000i2−i2−i2i2
χ4222-2-2-22-2222000-2-222-2-20000-222-22-20-2200000000000000000−i2−i2i2i2i2i2−i2−i20000000000−i2i2i2−i2
χ4322-2-2-22-2222000-2-222-2-20000-22-22-2202-200000000000000000i2i2−i2−i2−i2−i2i2i20000000000−i2i2i2−i2
χ4422-2-2-22-2222000-2-222-2-20000-22-22-2202-200000000000000000−i2−i2i2i2i2i2−i2−i20000000000i2−i2−i2i2
χ452-222-2-2-22002-222-22-200-22-20000000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000
χ462-222-2-2-22002-222-22-200-22-20000000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000
χ472-222-2-2-22002-222-22-200-22-2000000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000
χ482-222-2-2-22002-222-22-200-22-2000000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000
χ492-222-2-2-22002-22-22-2200-2-220000000000000002-2-22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000
χ502-222-2-2-22002-22-22-2200-2-220000000000000002-2-22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000
χ512-222-2-2-22002-22-22-2200-2-22000000000000000-222-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000
χ522-222-2-2-22002-22-22-2200-2-22000000000000000-222-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000
χ53444-44-4-4-4-4444-40000-44-4004000000-400000000000000000000000000000000000000000
χ54444-44-4-4-4-44-4-440000-44400-4000000400000000000000000000000000000000000000000
χ5544-44-4-44-44-40000000-440000004i−4i−4i4i000000000000000000000000000000000000000000
χ5644-44-4-44-44-40000000-44000000−4i4i4i−4i000000000000000000000000000000000000000000
χ5744-44-4-44-4-4400000004-40000000000000004i−4i00000000000000000000000000000000000
χ5844-44-4-44-4-4400000004-4000000000000000−4i4i00000000000000000000000000000000000
χ5944-4-4-44-44-4-400044-4-4440000-440000000000000000000000000000000000000000000000
χ6044-4-4-44-44-4-4000-4-4444400004-40000000000000000000000000000000000000000000000
χ614-444-4-4-4400-44-44-44-4004-440000000000000000000000000000000000000000000000000
χ624-444-4-4-4400-44-4-44-440044-40000000000000000000000000000000000000000000000000
χ634-44-4-444-4004-4-40000004000000000000000000000000022−22−22220000000000000000000000
χ644-44-4-444-4004-4-400000040000000000000000000000000−222222−220000000000000000000000
χ654-44-4-444-400-444000000-40000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ664-44-4-444-400-444000000-4000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ674-4-4-44-444000004-4-44000000000000000000000000000000002-2-222-2-2200000000000000
χ684-4-4-44-444000004-4-4400000000000000000000000000000000-222-2-222-200000000000000
χ694-4-4-44-44400000-444-4000000000000000000000000000000002-2-22-222-200000000000000
χ704-4-4-44-44400000-444-400000000000000000000000000000000-222-22-2-2200000000000000
χ718-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000

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