Finite Group Databasebeta

← Group #347634

Character table — Group #347634

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444222222444444444444444444488888888888822
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1
χ911111111111-1-1-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-111-1-1-1111111-1-111-1-1-1-111-11
χ1211111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-111-1-1-11111-1-111-1-11111-1-11-1
χ1311111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1-11111-1-1-1-1111-1
χ1511111111111-1-1-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-11111-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-11111-1-1-1-11111-1-111-1-1-11
χ17222222222-2-22222-2-22-2-200002200000000-2-2-2-2-200002200000000000000
χ18222222222-2-22222-2-22-2-20000-2-2000000002222-20000-2-200000000000000
χ19222222222-2-2-2-2-2-2222-2-200002200000000-2-22220000-2-200000000000000
χ20222222222-2-2-2-2-2-2222-2-20000-2-20000000022-2-2200002200000000000000
χ2122222222-22-222-2-222-22-20022000000-2-2-2-20000-200220000000000000000
χ2222222222-22-222-2-222-22-200-2-200000022220000-200-2-20000000000000000
χ2322222222-22-2-2-222-2-2-22-20022000000-2-2220000200-2-20000000000000000
χ2422222222-22-2-2-222-2-2-22-200-2-200000022-2-20000200220000000000000000
χ2522222222-2-2222-2-2-2-2-2-22220000-2-222000000002-2-2000000000000000000
χ2622222222-2-2222-2-2-2-2-2-22-2-2000022-2-200000000222000000000000000000
χ2722222222-2-22-2-22222-2-22220000-2-2-2-200000000-222000000000000000000
χ2822222222-2-22-2-22222-2-22-2-20000222200000000-2-2-2000000000000000000
χ292222-2-2-2-222-2000000-2-222-200002-200002i−2i002i−2i0002i−2i2i−2i00000000000000
χ302222-2-2-2-222-2000000-2-222-200002-20000−2i2i00−2i2i000−2i2i−2i2i00000000000000
χ312222-2-2-2-222-2000000-2-22-220000-2200002i−2i00−2i2i0002i−2i−2i2i00000000000000
χ322222-2-2-2-222-2000000-2-22-220000-220000−2i2i002i−2i000−2i2i2i−2i00000000000000
χ332222-2-2-2-22-22000000-22-2002-200002i−2i2-200002i−2i02i−2i00−2i2i00000000000000
χ342222-2-2-2-22-22000000-22-2002-20000−2i2i2-20000−2i2i0−2i2i002i−2i00000000000000
χ352222-2-2-2-22-22000000-22-200-2200002i−2i-220000−2i2i02i−2i002i−2i00000000000000
χ362222-2-2-2-22-22000000-22-200-220000−2i2i-2200002i−2i0−2i2i00−2i2i00000000000000
χ372222-2-2-2-2-2220000002-2-200002-2002i−2i002i−2i2-2000−2i2i−2i2i0000000000000000
χ382222-2-2-2-2-2220000002-2-200002-200−2i2i00−2i2i2-20002i−2i2i−2i0000000000000000
χ392222-2-2-2-2-2220000002-2-20000-22002i−2i00−2i2i-22000−2i2i2i−2i0000000000000000
χ402222-2-2-2-2-2220000002-2-20000-2200−2i2i002i−2i-220002i−2i−2i2i0000000000000000
χ412222-2-2-2-2-2-2-20000002222-22-22-2-2200-2200-2200000000000000000000000
χ422222-2-2-2-2-2-2-20000002222-2-22-22-22002-2002-200000000000000000000000
χ432222-2-2-2-2-2-2-2000000222-222-2-222-200-22002-200000000000000000000000
χ442222-2-2-2-2-2-2-2000000222-22-222-22-2002-200-2200000000000000000000000
χ4544-4-44-4-4400000004-400000000000000000000000000002-22-20000000000
χ4644-4-44-4-4400000004-40000000000000000000000000000-22-220000000000
χ4744-4-44-4-440000000-4400000000000000000000000000002-2-220000000000
χ4844-4-44-4-440000000-440000000000000000000000000000-222-20000000000
χ494-44-4-44-44000004-400000000000000000000000000000000002-22-2000000
χ504-44-4-44-44000004-40000000000000000000000000000000000-22-22000000
χ514-44-4-44-4400000-4400000000000000000000000000000000002-2-22000000
χ524-44-4-44-4400000-440000000000000000000000000000000000-222-2000000
χ534-4-44-4-4440004-400000000000000000000000000000000000000002-22-200
χ544-4-44-4-4440004-40000000000000000000000000000000000000000-22-2200
χ554-4-44-4-444000-4400000000000000000000000000000000000000002-2-2200
χ564-4-44-4-444000-440000000000000000000000000000000000000000-222-200
χ5788-8-8-888-8000000000000000000000000000000000000000000000000000
χ588-88-88-88-8000000000000000000000000000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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