Finite Group Databasebeta

← Group #349739

Character table — Group #349739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444224444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1
χ611111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-11
χ711111111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-11
χ811111111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-11-1
χ91111111111111111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-111111-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-111111-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ131111111111111111-1-1-1-1-1-11-1-11111-1-1111-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-11-1-11111-1-1111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-11-1-11111-1-11-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-11-1-11111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-22-2000022-2220000-2-2-222-200-2-20000-2-200000022000000000000000000
χ1822222222222-2-2-22-2000022-2220000-2-2-2-2-2-20022000022000000-2-2000000000000000000
χ1922222222222-2-2-22-20000-2-2-2-2-2000022-222200-2-2000022000000-2-2000000000000000000
χ2022222222222-2-2-22-20000-2-2-2-2-2000022-2-2-2200220000-2-200000022000000000000000000
χ2122222222-2-2-2222-22222222-2-2-2-2-2-2-2-2-2-200222000000000000-2-200000000000000000000
χ2222222222-2-2-2222-222222-2-2-222222222-200-2-2-2000000000000-2-200000000000000000000
χ2322222222-2-2-2222-22-2-2-2-222-2-2-22222-2-2-2002-2-20000000000002200000000000000000000
χ2422222222-2-2-2222-22-2-2-2-2-2-2-222-2-2-2-222-200-2220000000000002200000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000222-2-2000022200-2000022-2-20022-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2-20000222-2-2000022200-20000-2-22200-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22220000-2-22002000022-2-200-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22220000-2-220020000-2-2220022-2-20000000000000000000000
χ2922-22-22-2-222-222-2-2-200000020022-2-200-22-202-22-20000002-22-20000000000000000000000
χ3022-22-22-2-222-222-2-2-200000020022-2-200-2-2202-2-22000000-22-220000000000000000000000
χ3122-22-22-2-222-222-2-2-2000000200-2-22200-22-20-222-2000000-22-220000000000000000000000
χ3222-22-22-2-222-222-2-2-2000000200-2-22200-2-220-22-220000002-22-20000000000000000000000
χ3322-22-22-2-222-2-2-22-222i2i−2i−2i00-20000000022-2000-222i−2i2i−2i0000002i−2i00000000000000000000
χ3422-22-22-2-222-2-2-22-222i2i−2i−2i00-2000000002-220002-2−2i2i−2i2i0000002i−2i00000000000000000000
χ3522-22-22-2-222-2-2-22-22−2i−2i2i2i00-20000000022-2000-22−2i2i−2i2i000000−2i2i00000000000000000000
χ3622-22-22-2-222-2-2-22-22−2i−2i2i2i00-2000000002-220002-22i−2i2i−2i000000−2i2i00000000000000000000
χ3722-22-22-2-2-2-2222-22-2000000-20022-2-2002000-22002i−2i−2i2i2i−2i0000002i−2i000000000000000000
χ3822-22-22-2-2-2-2222-22-2000000-20022-2-2002000-2200−2i2i2i−2i−2i2i000000−2i2i000000000000000000
χ3922-22-22-2-2-2-2222-22-2000000-200-2-2220020002-2002i−2i−2i2i−2i2i000000−2i2i000000000000000000
χ4022-22-22-2-2-2-2222-22-2000000-200-2-2220020002-200−2i2i2i−2i2i−2i0000002i−2i000000000000000000
χ4122-22-22-2-2-2-22-2-22222i2i−2i−2i00200000000-2000000000002i−2i2-2-22−2i2i−2i2i000000000000000000
χ4222-22-22-2-2-2-22-2-22222i2i−2i−2i00200000000-200000000000−2i2i-222-2−2i2i2i−2i000000000000000000
χ4322-22-22-2-2-2-22-2-2222−2i−2i2i2i00200000000-2000000000002i−2i-222-22i−2i−2i2i000000000000000000
χ4422-22-22-2-2-2-22-2-2222−2i−2i2i2i00200000000-200000000000−2i2i2-2-222i−2i2i−2i000000000000000000
χ452-2-22-2-2220002-220-22i−2i2i−2i0002-22i−2i2i−2i2-20000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−2000000
χ462-2-22-2-2220002-220-22i−2i2i−2i0002-22i−2i2i−2i2-20000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−22000000
χ472-2-22-2-2220002-220-22i−2i2i−2i000-22−2i2i−2i2i-220000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−22000000
χ482-2-22-2-2220002-220-22i−2i2i−2i000-22−2i2i−2i2i-220000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−2000000
χ492-2-22-2-2220002-220-2−2i2i−2i2i0002-2−2i2i−2i2i2-20000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−22000000
χ502-2-22-2-2220002-220-2−2i2i−2i2i0002-2−2i2i−2i2i2-20000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−2000000
χ512-2-22-2-2220002-220-2−2i2i−2i2i000-222i−2i2i−2i-220000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−2000000
χ522-2-22-2-2220002-220-2−2i2i−2i2i000-222i−2i2i−2i-220000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−22000000
χ53444-4-4-4-444-44000-4000000000000000000000000000000000000000000000000000022−2200
χ54444-4-4-4-444-44000-40000000000000000000000000000000000000000000000000000−222200
χ55444-4-4-4-44-44-40004000000000000000000000000000000000000000000000000002i2−2i20000
χ56444-4-4-4-44-44-4000400000000000000000000000000000000000000000000000000−2i22i20000
χ5744-4-44-44-44-4-400040000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ5844-4-44-44-44-4-40004000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5944-4-44-44-4-444000-40000000000000000000000000000000000000022−2222−2200000000000000
χ6044-4-44-44-4-444000-400000000000000000000000000000000000000−2222−222200000000000000
χ614-4444-4-4-40004-4-4040000000004i−4i−4i4i000000000000000000000000000000000000000000
χ624-4444-4-4-40004-4-404000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ634-4444-4-4-4000-4440-44-4-44000000000000000000000000000000000000000000000000000
χ644-4444-4-4-4000-4440-4-444-4000000000000000000000000000000000000000000000000000
χ654-44-4-444-40000000000004i−4i00000000000000000000000000000002i−2i−2i2i2-2-220000000000
χ664-44-4-444-40000000000004i−4i0000000000000000000000000000000−2i2i2i−2i-222-20000000000
χ674-44-4-444-4000000000000−4i4i00000000000000000000000000000002i−2i−2i2i-222-20000000000
χ684-44-4-444-4000000000000−4i4i0000000000000000000000000000000−2i2i2i−2i2-2-220000000000
χ694-4-44-4-444000-44-40400000004-40000-440000000000000000000000000000000000000000
χ704-4-44-4-444000-44-4040000000-4400004-40000000000000000000000000000000000000000
χ718-8-8-888-88000000000000000000000000000000000000000000000000000000000000000

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