Finite Group Databasebeta

← Group #350116

Character table — Group #350116

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222224444444444224444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-111-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-20022-20000-2-222-2-2000000000000000000000000
χ18222222222222-2-222-2-2-2-200-2-2-2000022-2-222000000000000000000000000
χ192222222222-2-222-2-2-2-2222200-222-2-200000000000000-2-200000000000000
χ202222222222-2-222-2-2-2-222-2-200-2-2-222000000000000002200000000000000
χ212222222222-2-2-2-2-2-222-2-200002000000000022-2-222-2-20000000000000000
χ222222222222-2-2-2-2-2-222-2-2000020000000000-2-222-2-2220000000000000000
χ2322222222-2-22222-2-222-2-20000-2000000000022-2-2-2-2220000000000000000
χ2422222222-2-22222-2-222-2-20000-20000000000-2-22222-2-20000000000000000
χ2522222222-2-222-2-2-2-2-2-22222002-2-22200000000000000-2-200000000000000
χ2622222222-2-222-2-2-2-2-2-222-2-200222-2-2000000000000002200000000000000
χ2722222222-2-2-2-22222-2-2-2-2002220000-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-22222-2-2-2-200-2-2200002222-2-2000000000000000000000000
χ292-222-2-2-220000002-22-22-2000002-22-2002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ302-222-2-2-220000002-22-22-2000002-22-200−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ312-222-2-2-220000002-22-22-200000-22-22002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ322-222-2-2-220000002-22-22-200000-22-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ332-222-2-2-220000002-2-22-222-20000000002i−2i−2i2i00002i−2i2i−2i2-200000000000000
χ342-222-2-2-220000002-2-22-222-2000000000−2i2i2i−2i0000−2i2i−2i2i2-200000000000000
χ352-222-2-2-220000002-2-22-22-220000000002i−2i−2i2i0000−2i2i−2i2i-2200000000000000
χ362-222-2-2-220000002-2-22-22-22000000000−2i2i2i−2i00002i−2i2i−2i-2200000000000000
χ372-222-2-2-22000000-222-2-222-22i−2i000002i−2i00002i−2i−2i2i0000-2200000000000000
χ382-222-2-2-22000000-222-2-222-2−2i2i00000−2i2i0000−2i2i2i−2i0000-2200000000000000
χ392-222-2-2-22000000-222-2-22-222i−2i000002i−2i0000−2i2i2i−2i00002-200000000000000
χ402-222-2-2-22000000-222-2-22-22−2i2i00000−2i2i00002i−2i−2i2i00002-200000000000000
χ412-222-2-2-22000000-22-222-2002i−2i02-2-22−2i2i000000002i−2i−2i2i0000000000000000
χ422-222-2-2-22000000-22-222-2002i−2i0-222-2−2i2i00000000−2i2i2i−2i0000000000000000
χ432-222-2-2-22000000-22-222-200−2i2i02-2-222i−2i00000000−2i2i2i−2i0000000000000000
χ442-222-2-2-22000000-22-222-200−2i2i0-222-22i−2i000000002i−2i−2i2i0000000000000000
χ4544-4-44-4-44004i−4i000000000000000000000000000000000000000002i−2i2-200
χ4644-4-44-4-44004i−4i00000000000000000000000000000000000000000−2i2i-2200
χ4744-4-44-4-4400−4i4i000000000000000000000000000000000000000002i−2i-2200
χ4844-4-44-4-4400−4i4i00000000000000000000000000000000000000000−2i2i2-200
χ494-44-444-4-400004i−4i000000000000000000000000000000000002i−2i2-2000000
χ504-44-444-4-400004i−4i00000000000000000000000000000000000−2i2i-22000000
χ514-44-444-4-40000−4i4i000000000000000000000000000000000002i−2i-22000000
χ524-44-444-4-40000−4i4i00000000000000000000000000000000000−2i2i2-2000000
χ534-4-444-44-44-4000000000000000000000000000000000002i−2i2i−2i0000000000
χ544-4-444-44-44-400000000000000000000000000000000000−2i2i−2i2i0000000000
χ554-4-444-44-4-44000000000000000000000000000000000002i−2i−2i2i0000000000
χ564-4-444-44-4-4400000000000000000000000000000000000−2i2i2i−2i0000000000
χ57888-8-8-88-8000000000000000000000000000000000000000000000000000
χ5888-88-88-8-8000000000000000000000000000000000000000000000000000
χ598-8-8-8-8888000000000000000000000000000000000000000000000000000

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