Finite Group Databasebeta

← Group #349725

Character table — Group #349725

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444222244444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-11-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ611111111111111111111-1-11-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-11
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1
χ91111111111111111-1-1-1-111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ101111111111111111-1-1-1-111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ131111111111111111-1-1-1-1-1-11-1-11111-1-11-1-11111-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-11
χ141111111111111111-1-1-1-1-1-11-1-11111-1-11-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-2-22000022-2-2-20000-2-2-20022-2-2-2-22000000000022000000000000000000
χ1822222222222-2-2-2-22000022-2-2-20000-2-2-200-2-2222220000000000-2-2000000000000000000
χ1922222222222-2-2-2-220000-2-2-222000022-20022-2-222-20000000000-2-2000000000000000000
χ2022222222222-2-2-2-220000-2-2-222000022-200-2-222-2-2-2000000000022000000000000000000
χ2122222222-2-2-22222-2222222-2-2-2222222-2-2-2000000-200000000-2-200000000000000000000
χ2222222222-2-2-22222-22222-2-2-222-2-2-2-2-2-2-2-2-20000002000000002200000000000000000000
χ2322222222-2-2-22222-2-2-2-2-222-2-2-2-2-2-2-222-222000000-2000000002200000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-222000000200000000-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-20000222220000-2-2200000000-222-2-222-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2-20000222220000-2-2200000000-2-2-222-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22-2-2000022200000000222-2-2-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22-2-20000222000000002-2-22222-2-20000000000000000000000
χ29222-22-2-2-222-222-2-2-222-2-200200000000-22-22-22-20002-22-200000000000000000000000000
χ30222-22-2-2-222-222-2-2-222-2-200200000000-22-2-22-22000-22-2200000000000000000000000000
χ31222-22-2-2-222-222-2-2-2-2-22200200000000-2-222-22-2000-22-2200000000000000000000000000
χ32222-22-2-2-222-222-2-2-2-2-22200200000000-2-22-22-220002-22-200000000000000000000000000
χ33222-22-2-2-222-2-2-222-2000000-2002i2i−2i−2i002002-2-2200000002i−2i2i−2i2i−2i00000000000000000000
χ34222-22-2-2-222-2-2-222-2000000-2002i2i−2i−2i00200-222-20000000−2i2i−2i2i2i−2i00000000000000000000
χ35222-22-2-2-222-2-2-222-2000000-200−2i−2i2i2i002002-2-220000000−2i2i−2i2i−2i2i00000000000000000000
χ36222-22-2-2-222-2-2-222-2000000-200−2i−2i2i2i00200-222-200000002i−2i2i−2i−2i2i00000000000000000000
χ37222-22-2-2-2-2-2222-2-2222-2-200-2000000002-2200002i−2i000002i−2i−2i2i002i−2i000000000000000000
χ38222-22-2-2-2-2-2222-2-2222-2-200-2000000002-220000−2i2i00000−2i2i2i−2i00−2i2i000000000000000000
χ39222-22-2-2-2-2-2222-2-22-2-22200-20000000022-200002i−2i00000−2i2i2i−2i002i−2i000000000000000000
χ40222-22-2-2-2-2-2222-2-22-2-22200-20000000022-20000−2i2i000002i−2i−2i2i00−2i2i000000000000000000
χ41222-22-2-2-2-2-22-2-22220000002002i2i−2i−2i00-20000002i−2i0-222-20000−2i2i−2i2i000000000000000000
χ42222-22-2-2-2-2-22-2-22220000002002i2i−2i−2i00-2000000−2i2i02-2-220000−2i2i2i−2i000000000000000000
χ43222-22-2-2-2-2-22-2-2222000000200−2i−2i2i2i00-20000002i−2i02-2-2200002i−2i−2i2i000000000000000000
χ44222-22-2-2-2-2-22-2-2222000000200−2i−2i2i2i00-2000000−2i2i0-222-200002i−2i2i−2i000000000000000000
χ4522-2-2-222-20002-22-202i−2i2i−2i2i−2i0002-22-22i−2i0000000000000000000000i2i2−i2−i222−2−200002−2i2−i200
χ4622-2-2-222-20002-22-202i−2i2i−2i2i−2i0002-22-22i−2i0000000000000000000000−i2−i2i2i2−2−2220000−22−i2i200
χ4722-2-2-222-20002-22-202i−2i2i−2i−2i2i000-22-22−2i2i0000000000000000000000i2i2−i2−i2−2−22200002−2−i2i200
χ4822-2-2-222-20002-22-202i−2i2i−2i−2i2i000-22-22−2i2i0000000000000000000000−i2−i2i2i222−2−20000−22i2−i200
χ4922-2-2-222-20002-22-20−2i2i−2i2i2i−2i000-22-222i−2i0000000000000000000000i2i2−i2−i222−2−20000−22−i2i200
χ5022-2-2-222-20002-22-20−2i2i−2i2i2i−2i000-22-222i−2i0000000000000000000000−i2−i2i2i2−2−22200002−2i2−i200
χ5122-2-2-222-20002-22-20−2i2i−2i2i−2i2i0002-22-2−2i2i0000000000000000000000i2i2−i2−i2−2−2220000−22i2−i200
χ5222-2-2-222-20002-22-20−2i2i−2i2i−2i2i0002-22-2−2i2i0000000000000000000000−i2−i2i2i222−2−200002−2−i2i200
χ5344-44-4-4-440004-4-4404i−4i−4i4i000000000000000000000000000000000000000000000000000
χ5444-44-4-4-440004-4-440−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ5544-44-4-4-44000-444-400000000004i−4i−4i4i000000000000000000000000000000000000000000
χ5644-44-4-4-44000-444-40000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ5744-4-4-444-4000-44-44000004i−4i0000000−4i4i0000000000000000000000000000000000000000
χ5844-4-4-444-4000-44-4400000−4i4i00000004i−4i0000000000000000000000000000000000000000
χ594-444-44-4-44-440000-400000000000000000000000000000000000000000000022−2200000000
χ604-444-44-4-44-440000-4000000000000000000000000000000000000000000000−222200000000
χ614-444-44-4-4-44-400004000000000000000000000000000000000000000000000002i2−2i2000000
χ624-444-44-4-4-44-40000400000000000000000000000000000000000000000000000−2i22i2000000
χ634-44-4-4-4444-4-400004000000000000000000000000000000000000022−2222−2200000000000000
χ644-44-4-4-4444-4-4000040000000000000000000000000000000000000−2222−222200000000000000
χ654-44-4-4-444-4440000-4000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ664-44-4-4-444-4440000-400000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ674-4-444-44-40000000000000004-400000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ684-4-444-44-40000000000000004-40000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ694-4-444-44-4000000000000000-4400000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ704-4-444-44-4000000000000000-440000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ718-8-8-888-88000000000000000000000000000000000000000000000000000000000000000

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