Finite Group Databasebeta

← Group #241565

Character table — Group #241565

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11-11-1111-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1111-11-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-11-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-11-1-111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-111-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-111-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-222-2-222-2-2000000000202000-20-200000000000000
χ2222222222-2-2-2-222-2-222-2-222-2-2000000000-20-200020200000000000000
χ2322222222-2-2-2-222-2-2-2-222-2-2220000000020-2000-202000000000000000
χ2422222222-2-2-2-222-2-2-2-222-2-22200000000-20200020-2000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-22200000000202000-20-2000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-22200000000-20-2000202000000000000000
χ2722222222-2-2-2-2-2-222-2-22222-2-200000000020-2000-20200000000000000
χ2822222222-2-2-2-2-2-222-2-22222-2-2000000000-20200020-200000000000000
χ292-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002-22i−2i
χ302-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i
χ312-22-22-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i0000
χ322-22-22-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i0000
χ332-22-22-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i0000
χ342-22-22-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i0000
χ352-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i
χ362-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i
χ372-22-22-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2-220000000000002-200002i−2i000000000000
χ382-22-22-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2-22000000000000-220000−2i2i000000000000
χ392-22-22-22-2-22-222i−2i−2i2i−2i2i2i−2i-222-2000000000000000000002i−2i2-200000000
χ402-22-22-22-2-22-222i−2i−2i2i−2i2i2i−2i-222-200000000000000000000−2i2i-2200000000
χ412-22-22-22-2-22-22−2i2i2i−2i2i−2i−2i2i-222-2000000000000000000002i−2i-2200000000
χ422-22-22-22-2-22-22−2i2i2i−2i2i−2i−2i2i-222-200000000000000000000−2i2i2-200000000
χ432-22-22-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-220000000000002-20000−2i2i000000000000
χ442-22-22-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-22000000000000-2200002i−2i000000000000
χ4544-444-4-4-44-4-4400000000000000004-400000000000000000000000000
χ4644-444-4-4-44-4-440000000000000000-4400000000000000000000000000
χ4744-444-4-4-4-444-40000000000004-4000000000000000000000000000000
χ4844-444-4-4-4-444-4000000000000-44000000000000000000000000000000
χ494-4-4-444-4444-4-40000000000000000004i−4i000000000000000000000000
χ504-4-4-444-4444-4-4000000000000000000−4i4i000000000000000000000000
χ514-4-4-444-44-4-444000000000000004-40000000000000000000000000000
χ524-4-4-444-44-4-44400000000000000-440000000000000000000000000000
χ53888-8-8-8-88000000000000000000000000000000000000000000000000
χ5488-8-8-888-8000000000000000000000000000000000000000000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-88-8-888000000000000000000000000000000000000000000000000

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