Finite Group Databasebeta

← Group #349428

Character table — Group #349428

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444222222444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-11-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-11-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111111-1-1-1-1-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-1-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-111-11
χ1211111111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-11-1
χ1311111111111-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1111-1
χ1511111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-11
χ17222222222-2-22222-2-22-2-2002200-200-2-200002200-2-2000000000000000000
χ18222222222-2-22222-2-22-2-200-2-200-200220000-2-20022000000000000000000
χ19222222222-2-2-2-2-2-2222-2-2002200200-2-20000-2-20022000000000000000000
χ20222222222-2-2-2-2-2-2222-2-200-2-2002002200002200-2-2000000000000000000
χ2122222222-22-222-2-222-22-2220000-2-2-20000-2-2002200000000000000000000
χ2222222222-22-222-2-222-22-2-2-20000-22200002200-2-200000000000000000000
χ2322222222-22-2-2-222-2-2-22-22200002-2-200002200-2-200000000000000000000
χ2422222222-22-2-2-222-2-2-22-2-2-200002220000-2-2002200000000000000000000
χ2522222222-2-2222-2-2-2-2-2-2200002220000-2-20000000022-2-200000000000000
χ2622222222-2-2222-2-2-2-2-2-220000-2-2200002200000000-2-22200000000000000
χ2722222222-2-22-2-22222-2-22000022-20000-2-200000000-2-22200000000000000
χ2822222222-2-22-2-22222-2-220000-2-2-20000220000000022-2-200000000000000
χ292-2222-2-2-2222000000-2-2-22-22-22-202-22-22-200000000000000000000000000
χ302-2222-2-2-2222000000-2-2-22-2-22-2202-2-22-2200000000000000000000000000
χ312-2222-2-2-2222000000-2-2-2-222-2-220-222-2-2200000000000000000000000000
χ322-2222-2-2-2222000000-2-2-2-22-222-20-22-222-200000000000000000000000000
χ332-2222-2-2-22-2-2000000-222002-200000-22002i−2i002i−2i002i−2i2i−2i00000000000000
χ342-2222-2-2-22-2-2000000-222002-200000-2200−2i2i00−2i2i00−2i2i−2i2i00000000000000
χ352-2222-2-2-22-2-2000000-22200-22000002-2002i−2i002i−2i00−2i2i−2i2i00000000000000
χ362-2222-2-2-22-2-2000000-22200-22000002-200−2i2i00−2i2i002i−2i2i−2i00000000000000
χ372-2222-2-2-2-22-20000002-222-200000-220000002i−2i002i−2i2i−2i−2i2i00000000000000
χ382-2222-2-2-2-22-20000002-222-200000-22000000−2i2i00−2i2i−2i2i2i−2i00000000000000
χ392-2222-2-2-2-22-20000002-22-22000002-20000002i−2i002i−2i−2i2i2i−2i00000000000000
χ402-2222-2-2-2-22-20000002-22-22000002-2000000−2i2i00−2i2i2i−2i−2i2i00000000000000
χ412-2222-2-2-2-2-2200000022-200002-200000-222i−2i−2i2i−2i2i2i−2i000000000000000000
χ422-2222-2-2-2-2-2200000022-200002-200000-22−2i2i2i−2i2i−2i−2i2i000000000000000000
χ432-2222-2-2-2-2-2200000022-20000-22000002-22i−2i2i−2i−2i2i−2i2i000000000000000000
χ442-2222-2-2-2-2-2200000022-20000-22000002-2−2i2i−2i2i2i−2i2i−2i000000000000000000
χ45444-4-4-44-4000004i−4i00000000000000000000000000000000002-22i−2i000000
χ46444-4-4-44-4000004i−4i0000000000000000000000000000000000-22−2i2i000000
χ47444-4-4-44-400000−4i4i00000000000000000000000000000000002-2−2i2i000000
χ48444-4-4-44-400000−4i4i0000000000000000000000000000000000-222i−2i000000
χ4944-44-4-4-440004i−4i00000000000000000000000000000000000000002i−2i2-200
χ5044-44-4-4-440004i−4i0000000000000000000000000000000000000000−2i2i-2200
χ5144-44-4-4-44000−4i4i00000000000000000000000000000000000000002i−2i-2200
χ5244-44-4-4-44000−4i4i0000000000000000000000000000000000000000−2i2i2-200
χ534-4-4-44-44400000004-400000000000000000000000000002-22-20000000000
χ544-4-4-44-44400000004-40000000000000000000000000000-22-220000000000
χ554-4-4-44-4440000000-4400000000000000000000000000002-2-220000000000
χ564-4-4-44-4440000000-440000000000000000000000000000-222-20000000000
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-88-8-88-88000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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