Finite Group Databasebeta

← Group #272576

Character table — Group #272576

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442244444888888882222448888888888288
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111-1-1-11-1111-1-1-1-1-111-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-111-1-1111
χ511111111111111111-11-11-1-111111111-1-1-1-1-1-11-1-111111-1-1-1-11
χ611111111111111111-11-11-1-111-1-11111-1111-111-1-1-1-1-1-1-1-1-111-1
χ711111111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1
χ811111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-11111-1-11
χ9111111111111-1-111-11-11-1111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-11-11
χ10111111111111-1-111-11-11-11111-1-1-1-1-1-1-1-111-1-1111-11111-1-1-11-1
χ11111111111111-1-111-11-11-111-1-1111111-11-1-1-11-1-1-11-1-11111-11-1
χ12111111111111-1-111-11-11-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111-11
χ13111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11-1111-11-1-11-1-1-1-111-111
χ14111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-1-11111111-1-1
χ15111111111111-1-111-1-1-1-1-1-1-1-1-11111111-1111-1-1111-1-111-1-11-1-1
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-111-1-1-1-1-111
χ172222222-2-22-2-222-22-2020-200220022-2-2000000-2000000000000
χ182222222-2-22-2-222-22-2020-200-2-200-2-2220000002000000000000
χ192222222-2-22-2-2-2-2-2220-202002200-2-222000000-2000000000000
χ202222222-2-22-2-2-2-2-2220-20200-2-20022-2-20000002000000000000
χ2122222-2222-2-2-2222-2-22-2-222-2000000002000-200000000000000
χ2222222-2222-2-2-2222-2-2-2-222-2200000000-2000200000000000000
χ2322222-2222-2-2-2-2-22-2222-2-22-200000000-2000200000000000000
χ2422222-2222-2-2-2-2-22-22-222-2-22000000002000-200000000000000
χ2522222-22-2-2-22222-2-220-20-2000000000000000002i−2i000002i−2i000
χ2622222-22-2-2-22222-2-220-20-200000000000000000−2i2i00000−2i2i000
χ2722222-22-2-2-222-2-2-2-2-20202000000000000000002i−2i00000−2i2i000
χ2822222-22-2-2-222-2-2-2-2-2020200000000000000000−2i2i000002i−2i000
χ292222-22-2222-2200-2-2020-20-220022000002000-2000-2000000000
χ302222-22-2222-2200-2-2020-20-2200-2-200000-200020002000000000
χ312222-22-2222-2200-2-20-20202-2002200000-20002000-2000000000
χ322222-22-2222-2200-2-20-20202-200-2-2000002000-20002000000000
χ332222-2-2-222-22-200-2202020-2-200000000002-20000002-20000000
χ342222-2-2-222-22-200-2202020-2-20000000000-22000000-220000000
χ352222-2-2-222-22-200-220-20-202200000000002-2000000-220000000
χ362222-2-2-222-22-200-220-20-20220000000000-220000002-20000000
χ374444-44-4-4-444-4004-40000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4400440000000000000000000000000000000000
χ394-44-40-4000400000000000000022−220022−220000000000002-200000
χ404-44-40-4000400000000000000022−2200−2222000000000000-2200000
χ414-44-40-40004000000000000000−22220022−22000000000000-2200000
χ424-44-40-40004000000000000000−222200−22220000000000002-200000
χ434-4-44-404000004-400000000022−220022−22000000000000000000000
χ444-4-44-404000004-4000000000−222200−2222000000000000000000000
χ454-4-44-40400000-4400000000022−2200−2222000000000000000000000
χ464-4-44-40400000-44000000000−22220022−22000000000000000000000
χ4788-8-80008-800000000000000000000000000000000000000000
χ4888-8-8000-8800000000000000000000000000000000000000000
χ498-88-808000-80000000000000000000000000000000000000000
χ508-8-8880-80000000000000000000000000000000000000000000

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