Finite Group Databasebeta

← Group #350030

Character table — Group #350030

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222222244444444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-111-1-1-111-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-111-1-1-111-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-111-111-1-1-1-111-1-1-1-11111-111-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-111-111-1-1-1-111-1-1-1-11111-111-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ1722222222222222-2-2-2-220000-22222000000000000-2-2-2-2-200000000000000
χ1822222222222222-2-2-2-220000-2-2-2-2-2000000000000-2222200000000000000
χ19222222222222-2-222-2-2-2222220000-2-2-2-200000000-2000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-220000222200000000-2000000000000000000
χ21222222222222-2-2-2-222-20000-20000000022-2-222-2-22000000000000000000
χ22222222222222-2-2-2-222-20000-200000000-2-222-2-2222000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-20000222-2-20000000000002-2-22200000000000000
χ2422222222-2-2-2-222-2-2-2-2-200002-2-222000000000000222-2-200000000000000
χ2522222222-2-2-2-2-2-222-2-2222-2-2-20000-2-222000000002000000000000000000
χ2622222222-2-2-2-2-2-222-2-22-2-222-2000022-2-2000000002000000000000000000
χ2722222222-2-2-2-2-2-2-2-2222000020000000022-2-2-2-222-2000000000000000000
χ2822222222-2-2-2-2-2-2-2-22220000200000000-2-22222-2-2-2000000000000000000
χ292-22-22-2-2200002-22-22-20002i−2i0002-2002i−2i2i−2i2i−2i00000002-200000000000000
χ302-22-22-2-2200002-22-22-20002i−2i000-22002i−2i−2i2i−2i2i0000000-2200000000000000
χ312-22-22-2-2200002-22-22-2000−2i2i0002-200−2i2i−2i2i−2i2i00000002-200000000000000
χ322-22-22-2-2200002-22-22-2000−2i2i000-2200−2i2i2i−2i2i−2i0000000-2200000000000000
χ332-22-22-2-2200002-2-22-2202i−2i000002-22i−2i0000002i−2i2i−2i000-2200000000000000
χ342-22-22-2-2200002-2-22-2202i−2i00000-222i−2i000000−2i2i−2i2i0002-200000000000000
χ352-22-22-2-2200002-2-22-220−2i2i000002-2−2i2i000000−2i2i−2i2i000-2200000000000000
χ362-22-22-2-2200002-2-22-220−2i2i00000-22−2i2i0000002i−2i2i−2i0002-200000000000000
χ372-22-22-2-220000-222-2-220002i−2i02-20000−2i2i00002i−2i−2i2i02-20000000000000000
χ382-22-22-2-220000-222-2-220002i−2i0-220000−2i2i0000−2i2i2i−2i0-220000000000000000
χ392-22-22-2-220000-222-2-22000−2i2i02-200002i−2i0000−2i2i2i−2i02-20000000000000000
χ402-22-22-2-220000-222-2-22000−2i2i0-2200002i−2i00002i−2i−2i2i0-220000000000000000
χ412-22-22-2-220000-22-222-202i−2i0002-200−2i2i002i−2i−2i2i00000-220000000000000000
χ422-22-22-2-220000-22-222-202i−2i000-2200−2i2i00−2i2i2i−2i000002-20000000000000000
χ432-22-22-2-220000-22-222-20−2i2i0002-2002i−2i00−2i2i2i−2i00000-220000000000000000
χ442-22-22-2-220000-22-222-20−2i2i000-22002i−2i002i−2i−2i2i000002-20000000000000000
χ45444-4-44-4-444-4-400000000000000000000000000000000000002-22-2000000
χ46444-4-44-4-444-4-40000000000000000000000000000000000000-22-22000000
χ47444-4-44-4-4-4-44400000000000000000000000000000000000002-2-22000000
χ48444-4-44-4-4-4-4440000000000000000000000000000000000000-222-2000000
χ494-4-4444-4-44-44-4000000000000000000000000000000000000000002i−2i2i−2i00
χ504-4-4444-4-44-44-400000000000000000000000000000000000000000−2i2i−2i2i00
χ514-4-4444-4-4-44-44000000000000000000000000000000000000000002i−2i−2i2i00
χ524-4-4444-4-4-44-4400000000000000000000000000000000000000000−2i2i2i−2i00
χ534-4-4-4-44444-4-440000000000000000000000000000000002-22-20000000000
χ544-4-4-4-44444-4-44000000000000000000000000000000000-22-220000000000
χ554-4-4-4-4444-444-40000000000000000000000000000000002-2-220000000000
χ564-4-4-4-4444-444-4000000000000000000000000000000000-222-20000000000
χ5788-88-8-8-88000000000000000000000000000000000000000000000000000
χ5888-8-88-88-8000000000000000000000000000000000000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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