Finite Group Databasebeta

← Group #243213

Character table — Group #243213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244444444444444448888888844444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111
χ121111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111-1-111
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ172222222222-22-2-2-2222-2-222-2-2-2-2000000002222-2-2-2-200000000000000000000
χ182222222222-22-2-2-2222-2-222-2-2-2-200000000-2-2-2-2222200000000000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000
χ2122222222-2-22-2222-222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000
χ2222222222-2-22-2222-222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-222-2-222-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000000000002i−2i2i−2i
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000000000000−2i2i−2i2i
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000000002i−2i−2i2i
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000000000000000−2i2i2i−2i
χ292-2222-2-2-2222-2-2-22-22-22-22-22-22-200000000000000000000000000002-22-20000
χ302-2222-2-2-2222-2-2-22-22-22-22-22-22-20000000000000000000000000000-22-220000
χ312-2222-2-2-2222-2-2-22-2-222-2-22-22-2200000000000000000000000000002-2-220000
χ322-2222-2-2-2222-2-2-22-2-222-2-22-22-220000000000000000000000000000-222-20000
χ332-2222-2-2-222-2-222-2-22-2-222-2-22-220000000000000000000000002-22-200000000
χ342-2222-2-2-222-2-222-2-22-2-222-2-22-22000000000000000000000000-22-2200000000
χ352-2222-2-2-222-2-222-2-2-22-22-222-22-20000000000000000000000002-2-2200000000
χ362-2222-2-2-222-2-222-2-2-22-22-222-22-2000000000000000000000000-222-200000000
χ372-2222-2-2-2-2-222-2-2222-2-22-222-2-22000000000000000000002i−2i2i−2i000000000000
χ382-2222-2-2-2-2-222-2-2222-2-22-222-2-2200000000000000000000−2i2i−2i2i000000000000
χ392-2222-2-2-2-2-222-2-222-22-222-2-222-2000000000000000000002i−2i−2i2i000000000000
χ402-2222-2-2-2-2-222-2-222-22-222-2-222-200000000000000000000−2i2i2i−2i000000000000
χ412-2222-2-2-2-2-2-2222-222-22-2-22-222-200000000000000002i−2i2i−2i0000000000000000
χ422-2222-2-2-2-2-2-2222-222-22-2-22-222-20000000000000000−2i2i−2i2i0000000000000000
χ432-2222-2-2-2-2-2-2222-22-222-22-22-2-2200000000000000002i−2i−2i2i0000000000000000
χ442-2222-2-2-2-2-2-2222-22-222-22-22-2-220000000000000000−2i2i2i−2i0000000000000000
χ45444-4-44-4-400404-4-40000000000000004-4000000000000000000000000000000
χ46444-4-44-4-400404-4-4000000000000000-44000000000000000000000000000000
χ47444-4-44-4-400-40-444000000000000000004i−4i0000000000000000000000000000
χ48444-4-44-4-400-40-44400000000000000000−4i4i0000000000000000000000000000
χ4944-44-4-44-44-404000-4000000000000000000004-4000000000000000000000000
χ5044-44-4-44-44-404000-400000000000000000000-44000000000000000000000000
χ5144-44-4-44-4-440-400040000000000000000004i−4i00000000000000000000000000
χ5244-44-4-44-4-440-40004000000000000000000−4i4i00000000000000000000000000
χ534-44-4-4-4440040-44-4000000000004i−4i0000000000000000000000000000000000
χ544-44-4-4-4440040-44-400000000000−4i4i0000000000000000000000000000000000
χ554-44-4-4-44400-404-4400000000000004-400000000000000000000000000000000
χ564-44-4-4-44400-404-440000000000000-4400000000000000000000000000000000
χ574-4-44-44-444-40-400040000000000000000000000004-400000000000000000000
χ584-4-44-44-444-40-40004000000000000000000000000-4400000000000000000000
χ594-4-44-44-44-4404000-400000000000000000000004i−4i0000000000000000000000
χ604-4-44-44-44-4404000-40000000000000000000000−4i4i0000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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