Finite Group Databasebeta

← Group #348281

Character table — Group #348281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ17222222222222-2-22-2-22-2-200002200000022-20000-2-200-2-200000000000000
χ18222222222222-2-22-2-22-2-20000-2-2000000-2-2-2000022002200000000000000
χ192222222222-2-222-22-2-22-20022000000-2-200-200-2-200220000000000000000
χ202222222222-2-222-22-2-22-200-2-20000002200-2002200-2-20000000000000000
χ212222222222-2-2-2-2-2-22-2-2222000022-2-200002-2-20000000000000000000000
χ222222222222-2-2-2-2-2-22-2-22-2-20000-2-22200002220000000000000000000000
χ2322222222-2-22222-2-22-2-22220000-2-2220000-2-2-20000000000000000000000
χ2422222222-2-22222-2-22-2-22-2-2000022-2-20000-2220000000000000000000000
χ2522222222-2-222-2-2-22-2-22-200220000002200200-2-200-2-20000000000000000
χ2622222222-2-222-2-2-22-2-22-200-2-2000000-2-2002002200220000000000000000
χ2722222222-2-2-2-2222-2-22-2-2000022000000-2-220000-2-2002200000000000000
χ2822222222-2-2-2-2222-2-22-2-20000-2-200000022200002200-2-200000000000000
χ292-2-2-222-2200000022-2-2-22002i−2i2i−2i2-22-200000002i−2i2i−2i000000000000000000
χ302-2-2-222-2200000022-2-2-22002i−2i−2i2i-22-2200000002i−2i−2i2i000000000000000000
χ312-2-2-222-2200000022-2-2-2200−2i2i2i−2i-22-220000000−2i2i2i−2i000000000000000000
χ322-2-2-222-2200000022-2-2-2200−2i2i−2i2i2-22-20000000−2i2i−2i2i000000000000000000
χ332-2-2-222-220000002-22-22-22i−2i002i−2i00002-20002i−2i00−2i2i2-20000000000000000
χ342-2-2-222-220000002-22-22-22i−2i00−2i2i0000-220002i−2i002i−2i-220000000000000000
χ352-2-2-222-220000002-22-22-2−2i2i002i−2i0000-22000−2i2i00−2i2i-220000000000000000
χ362-2-2-222-220000002-22-22-2−2i2i00−2i2i00002-2000−2i2i002i−2i2-20000000000000000
χ372-2-2-222-22000000-2222-2-22i−2i2i−2i000000002-20−2i2i−2i2i00002-200000000000000
χ382-2-2-222-22000000-2222-2-22i−2i−2i2i00000000-220−2i2i2i−2i0000-2200000000000000
χ392-2-2-222-22000000-2222-2-2−2i2i2i−2i00000000-2202i−2i−2i2i0000-2200000000000000
χ402-2-2-222-22000000-2222-2-2−2i2i−2i2i000000002-202i−2i2i−2i00002-200000000000000
χ412-2-2-222-22000000-2-2-22220000002-2-222-2-220000000-222-200000000000000
χ422-2-2-222-22000000-2-2-22220000002-2-22-222-200000002-2-2200000000000000
χ432-2-2-222-22000000-2-2-2222000000-222-22-22-20000000-22-2200000000000000
χ442-2-2-222-22000000-2-2-2222000000-222-2-22-2200000002-22-200000000000000
χ45444-44-4-4-4004-40000000000000000000000000000000002-22-20000000000
χ46444-44-4-4-4004-4000000000000000000000000000000000-22-220000000000
χ47444-44-4-4-400-440000000000000000000000000000000002-2-220000000000
χ48444-44-4-4-400-44000000000000000000000000000000000-222-20000000000
χ4944-44-44-4-44-40000000000000000000000000000000000000002-22-2000000
χ5044-44-44-4-44-4000000000000000000000000000000000000000-22-22000000
χ5144-44-44-4-4-440000000000000000000000000000000000000002-2-22000000
χ5244-44-44-4-4-44000000000000000000000000000000000000000-222-2000000
χ534-444-4-4-4400004-40000000000000000000000000000000000000002i−2i2i−2i00
χ544-444-4-4-4400004-4000000000000000000000000000000000000000−2i2i−2i2i00
χ554-444-4-4-440000-440000000000000000000000000000000000000002i−2i−2i2i00
χ564-444-4-4-440000-44000000000000000000000000000000000000000−2i2i2i−2i00
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-88-8-888-8000000000000000000000000000000000000000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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