Finite Group Databasebeta

← Group #349314

Character table — Group #349314

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444222222444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1
χ911111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-111-11
χ1211111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-11-1
χ1311111111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1111-1
χ1511111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-111-1-1-11
χ17222222222-2-22222-2-22-2-20000220000-2-20000000022-2-2-200000000000000
χ18222222222-2-22222-2-22-2-20000-2-200002200000000-2-222-200000000000000
χ19222222222-2-2-2-2-2-2222-2-20000220000-2-200000000-2-222200000000000000
χ20222222222-2-2-2-2-2-2222-2-20000-2-20000220000000022-2-2200000000000000
χ2122222222-22-222-2-222-22-200220000-2-200000022-2-20000-200000000000000
χ2222222222-22-222-2-222-22-200-2-2000022000000-2-2220000-200000000000000
χ2322222222-22-2-2-222-2-2-22-200220000-2-2000000-2-2220000200000000000000
χ2422222222-22-2-2-222-2-2-22-200-2-200002200000022-2-20000200000000000000
χ2522222222-2-2222-2-2-2-2-2-22220000-2-2000022-2-200000000200000000000000
χ2622222222-2-2222-2-2-2-2-2-22-2-20000220000-2-22200000000200000000000000
χ2722222222-2-22-2-22222-2-22220000-2-20000-2-22200000000-200000000000000
χ2822222222-2-22-2-22222-2-22-2-2000022000022-2-200000000-200000000000000
χ292222-2-2-2-2222000000-2-2-22-22-22-22-22-22-2000000000000000000000000000
χ302222-2-2-2-2222000000-2-2-22-2-22-222-2-22-22000000000000000000000000000
χ312222-2-2-2-2222000000-2-2-2-222-2-22-222-2-22000000000000000000000000000
χ322222-2-2-2-2222000000-2-2-2-22-222-2-22-222-2000000000000000000000000000
χ332222-2-2-2-22-2-2000000-22200002-20000-222i−2i2i−2i2i−2i2i−2i0000000000000000000
χ342222-2-2-2-22-2-2000000-22200002-20000-22−2i2i−2i2i−2i2i−2i2i0000000000000000000
χ352222-2-2-2-22-2-2000000-2220000-2200002-22i−2i2i−2i−2i2i−2i2i0000000000000000000
χ362222-2-2-2-22-2-2000000-2220000-2200002-2−2i2i−2i2i2i−2i2i−2i0000000000000000000
χ372222-2-2-2-2-22-20000002-22002-20000-22002i−2i−2i2i00002i−2i2i−2i000000000000000
χ382222-2-2-2-2-22-20000002-22002-20000-2200−2i2i2i−2i0000−2i2i−2i2i000000000000000
χ392222-2-2-2-2-22-20000002-2200-2200002-2002i−2i−2i2i0000−2i2i−2i2i000000000000000
χ402222-2-2-2-2-22-20000002-2200-2200002-200−2i2i2i−2i00002i−2i2i−2i000000000000000
χ412222-2-2-2-2-2-2200000022-22-20000-22000000002i−2i−2i2i2i−2i−2i2i000000000000000
χ422222-2-2-2-2-2-2200000022-22-20000-2200000000−2i2i2i−2i−2i2i2i−2i000000000000000
χ432222-2-2-2-2-2-2200000022-2-2200002-2000000002i−2i−2i2i−2i2i2i−2i000000000000000
χ442222-2-2-2-2-2-2200000022-2-2200002-200000000−2i2i2i−2i2i−2i−2i2i000000000000000
χ4544-4-444-4-4000004-40000000000000000000000000000002i−2i2i−2i0000000000
χ4644-4-444-4-4000004-4000000000000000000000000000000−2i2i−2i2i0000000000
χ4744-4-444-4-400000-440000000000000000000000000000002i−2i−2i2i0000000000
χ4844-4-444-4-400000-44000000000000000000000000000000−2i2i2i−2i0000000000
χ494-44-44-44-40004-40000000000000000000000000000000000002i−2i2i−2i000000
χ504-44-44-44-40004-4000000000000000000000000000000000000−2i2i−2i2i000000
χ514-44-44-44-4000-440000000000000000000000000000000000002i−2i−2i2i000000
χ524-44-44-44-4000-44000000000000000000000000000000000000−2i2i2i−2i000000
χ534-4-44-444-400000004-40000000000000000000000000000000000002i−2i2i−2i00
χ544-4-44-444-400000004-4000000000000000000000000000000000000−2i2i−2i2i00
χ554-4-44-444-40000000-440000000000000000000000000000000000002i−2i−2i2i00
χ564-4-44-444-40000000-44000000000000000000000000000000000000−2i2i2i−2i00
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-88-8-88-88000000000000000000000000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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