Finite Group Databasebeta

← Group #350092

Character table — Group #350092

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222224444444444224444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11111-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1-111-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-200000000002222-2000000-2-2-2-200000000000000
χ18222222222222-2-222-2-2-2-20000000000-2-2-2-2-2000000222200000000000000
χ192222222222-2-222-2-222-2-200000022-2-20000-200-2-222000000000000000000
χ202222222222-2-222-2-222-2-2000000-2-2220000-20022-2-2000000000000000000
χ212222222222-2-2-2-2-2-2-2-2222222-2-2000000002-2-20000000000000000000000
χ222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000002220000000000000000000000
χ2322222222-2-22222-2-2-2-22222-2-22200000000-2-2-20000000000000000000000
χ2422222222-2-22222-2-2-2-222-2-222-2-200000000-2220000000000000000000000
χ2522222222-2-222-2-2-2-222-2-200000022220000200-2-2-2-2000000000000000000
χ2622222222-2-222-2-2-2-222-2-2000000-2-2-2-200002002222000000000000000000
χ2722222222-2-2-2-22222-2-2-2-2000000000022-2-22000000-2-22200000000000000
χ2822222222-2-2-2-22222-2-2-2-20000000000-2-222200000022-2-200000000000000
χ292-222-2-22-20000002-22-22-2002-22-2002i−2i2i−2i00000002i−2i2i−2i0000000000000000
χ302-222-2-22-20000002-22-22-2002-22-200−2i2i−2i2i0000000−2i2i−2i2i0000000000000000
χ312-222-2-22-20000002-22-22-200-22-22002i−2i−2i2i00000002i−2i−2i2i0000000000000000
χ322-222-2-22-20000002-22-22-200-22-2200−2i2i2i−2i0000000−2i2i2i−2i0000000000000000
χ332-222-2-22-20000002-2-22-222-200002i−2i002i−2i0002-22i−2i00−2i2i0000000000000000
χ342-222-2-22-20000002-2-22-222-20000−2i2i00−2i2i0002-2−2i2i002i−2i0000000000000000
χ352-222-2-22-20000002-2-22-22-2200002i−2i00−2i2i000-222i−2i002i−2i0000000000000000
χ362-222-2-22-20000002-2-22-22-220000−2i2i002i−2i000-22−2i2i00−2i2i0000000000000000
χ372-222-2-22-2000000-222-2-222-20000002i−2i002i−2i0-2200−2i2i002i−2i00000000000000
χ382-222-2-22-2000000-222-2-222-2000000−2i2i00−2i2i0-22002i−2i00−2i2i00000000000000
χ392-222-2-22-2000000-222-2-22-220000002i−2i00−2i2i02-200−2i2i00−2i2i00000000000000
χ402-222-2-22-2000000-222-2-22-22000000−2i2i002i−2i02-2002i−2i002i−2i00000000000000
χ412-222-2-22-2000000-22-222-2002-2-222i−2i0000−2i2i000−2i2i00002i−2i00000000000000
χ422-222-2-22-2000000-22-222-2002-2-22−2i2i00002i−2i0002i−2i0000−2i2i00000000000000
χ432-222-2-22-2000000-22-222-200-222-22i−2i00002i−2i000−2i2i0000−2i2i00000000000000
χ442-222-2-22-2000000-22-222-200-222-2−2i2i0000−2i2i0002i−2i00002i−2i00000000000000
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
χ534-4-4-4444-400004i−4i0000000000000000000000000000000000000002-22i−2i00
χ544-4-4-4444-400004i−4i000000000000000000000000000000000000000-22−2i2i00
χ554-4-4-4444-40000−4i4i0000000000000000000000000000000000000002-2−2i2i00
χ564-4-4-4444-40000−4i4i000000000000000000000000000000000000000-222i−2i00
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-88-8-88-88000000000000000000000000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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