Finite Group Databasebeta

← Group #349437

Character table — Group #349437

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-111-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-11
χ17222222222-22222-2-2-22-2-2000022000000220000-2-2-200-2-200000000000000
χ18222222222-22222-2-2-22-2-20000-2-2000000-2-2000022-2002200000000000000
χ19222222222-2-2-2-2-222-22-2-2000022000000-2-20000-2-22002200000000000000
χ20222222222-2-2-2-2-222-22-2-20000-2-200000022000022200-2-200000000000000
χ2122222222-2222-2-222-2-22-20022000000-2-20000-2-200-2220000000000000000
χ2222222222-2222-2-222-2-22-200-2-20000002200002200-2-2-20000000000000000
χ2322222222-22-2-222-2-2-2-22-20022000000220000-2-2002-2-20000000000000000
χ2422222222-22-2-222-2-2-2-22-200-2-2000000-2-2000022002220000000000000000
χ2522222222-2-222-2-2-2-22-2-2222000022-2-20000-2-200002000000000000000000
χ2622222222-2-222-2-2-2-22-2-22-2-20000-2-22200002200002000000000000000000
χ2722222222-2-2-2-222222-2-22220000-2-2220000-2-20000-2000000000000000000
χ2822222222-2-2-2-222222-2-22-2-2000022-2-20000220000-2000000000000000000
χ29222-2-2-22-2220000002-2-2-22-22-22-2000000002-22-22-20000000000000000000
χ30222-2-2-22-2220000002-2-2-22-2-22-22000000002-2-22-220000000000000000000
χ31222-2-2-22-2220000002-2-2-2-222-2-2200000000-222-2-220000000000000000000
χ32222-2-2-22-2220000002-2-2-2-22-222-200000000-22-222-20000000000000000000
χ33222-2-2-22-22-2000000-2-22200002-22i−2i2i−2i2i−2i000000-2202i−2i0000000000000000
χ34222-2-2-22-22-2000000-2-22200002-2−2i2i−2i2i−2i2i000000-220−2i2i0000000000000000
χ35222-2-2-22-22-2000000-2-2220000-222i−2i2i−2i−2i2i0000002-20−2i2i0000000000000000
χ36222-2-2-22-22-2000000-2-2220000-22−2i2i−2i2i2i−2i0000002-202i−2i0000000000000000
χ37222-2-2-22-2-22000000-22-22002-2002i−2i−2i2i002i−2i00-22000002i−2i00000000000000
χ38222-2-2-22-2-22000000-22-22002-200−2i2i2i−2i00−2i2i00-2200000−2i2i00000000000000
χ39222-2-2-22-2-22000000-22-2200-22002i−2i−2i2i00−2i2i002-200000−2i2i00000000000000
χ40222-2-2-22-2-22000000-22-2200-2200−2i2i2i−2i002i−2i002-2000002i−2i00000000000000
χ41222-2-2-22-2-2-2000000222-22-2000000002i−2i−2i2i-2200000−2i2i2i−2i00000000000000
χ42222-2-2-22-2-2-2000000222-22-200000000−2i2i2i−2i-22000002i−2i−2i2i00000000000000
χ43222-2-2-22-2-2-2000000222-2-22000000002i−2i2i−2i2-200000−2i2i−2i2i00000000000000
χ44222-2-2-22-2-2-2000000222-2-2200000000−2i2i−2i2i2-2000002i−2i2i−2i00000000000000
χ4544-44-4-4-4400004i−4i00000000000000000000000000000002-22i−2i0000000000
χ4644-44-4-4-4400004i−4i0000000000000000000000000000000-22−2i2i0000000000
χ4744-44-4-4-440000−4i4i00000000000000000000000000000002-2−2i2i0000000000
χ4844-44-4-4-440000−4i4i0000000000000000000000000000000-222i−2i0000000000
χ494-44-44-4-44004i−4i00000000000000000000000000000000000002-22i−2i000000
χ504-44-44-4-44004i−4i0000000000000000000000000000000000000-22−2i2i000000
χ514-44-44-4-4400−4i4i00000000000000000000000000000000000002-2−2i2i000000
χ524-44-44-4-4400−4i4i0000000000000000000000000000000000000-222i−2i000000
χ534-4-444-44-40000004-400000000000000000000000000000000000002i−2i2i−2i00
χ544-4-444-44-40000004-40000000000000000000000000000000000000−2i2i−2i2i00
χ554-4-444-44-4000000-4400000000000000000000000000000000000002i−2i−2i2i00
χ564-4-444-44-4000000-440000000000000000000000000000000000000−2i2i2i−2i00
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-888-88-8-8000000000000000000000000000000000000000000000000000
χ598-8-8-8-8888000000000000000000000000000000000000000000000000000

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