Finite Group Databasebeta

← Group #461421

Character table — Group #461421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422224444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ9111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1
χ10111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ12111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ17222222-2-2-2-22-2222-2-2-2002200-2-20000000000002i−2i00000000002i−2i0000
χ18222222-2-2-2-22-2222-2-2-2002200-2-2000000000000−2i2i0000000000−2i2i0000
χ19222222-2-2-2-22-2222-2-2-200-2-200220000000000002i−2i0000000000−2i2i0000
χ20222222-2-2-2-22-2222-2-2-200-2-20022000000000000−2i2i00000000002i−2i0000
χ21222222-2-2-2-2-22-2-2-22222200-2-20000000000000000002i−2i00000000002i−2i
χ22222222-2-2-2-2-22-2-2-22222200-2-2000000000000000000−2i2i0000000000−2i2i
χ23222222-2-2-2-2-22-2-2-2222-2-200220000000000000000002i−2i0000000000−2i2i
χ24222222-2-2-2-2-22-2-2-2222-2-20022000000000000000000−2i2i00000000002i−2i
χ252222-2-2-222-2-2-222-222-20000000022-2-222-2-22-200000000000000000000
χ262222-2-2-222-2-2-222-222-20000000022-2-2-2-222-2200000000000000000000
χ272222-2-2-222-2-2-222-222-200000000-2-22222-2-2-2200000000000000000000
χ282222-2-2-222-2-2-222-222-200000000-2-222-2-2222-200000000000000000000
χ292-2-222-222-2-22-22-2-22-222-2002-200000000000000002i−2i00000000002i−2i00
χ302-2-222-222-2-22-22-2-22-222-2002-20000000000000000−2i2i0000000000−2i2i00
χ312-2-222-222-2-22-22-2-22-22-2200-2200000000000000002i−2i0000000000−2i2i00
χ322-2-222-222-2-22-22-2-22-22-2200-220000000000000000−2i2i00000000002i−2i00
χ332-2-222-222-2-2-22-222-22-2002-2002-200000000002i−2i00000000002i−2i000000
χ342-2-222-222-2-2-22-222-22-2002-2002-20000000000−2i2i0000000000−2i2i000000
χ352-2-222-222-2-2-22-222-22-200-2200-2200000000002i−2i0000000000−2i2i000000
χ362-2-222-222-2-2-22-222-22-200-2200-220000000000−2i2i00000000002i−2i000000
χ372-2-222-2-2-222-2-2-2222-222-22-2-22-222-22-200000000000000000000000000
χ382-2-222-2-2-222-2-2-2222-222-2-22-222-2-22-2200000000000000000000000000
χ392-2-222-2-2-222-2-2-2222-22-222-22-2-22-22-2200000000000000000000000000
χ402-2-222-2-2-222-2-2-2222-22-22-222-22-22-22-200000000000000000000000000
χ412-2-22-222-22-222-22-22-2-2000000002-2-22000000000000002i−2i2i−2i00000000
χ422-2-22-222-22-222-22-22-2-2000000002-2-2200000000000000−2i2i−2i2i00000000
χ432-2-22-222-22-222-22-22-2-200000000-222-2000000000000002i−2i−2i2i00000000
χ442-2-22-222-22-222-22-22-2-200000000-222-200000000000000−2i2i2i−2i00000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ464444-4-44-4-444-4-4-4444-400000000000000000000000000000000000000
χ474444-4-44-4-44-4444-4-4-4400000000000000000000000000000000000000
χ484444-4-4-444-444-4-44-4-4400000000000000000000000000000000000000
χ494-4-444-4-4-444444-4-4-44-400000000000000000000000000000000000000
χ504-4-44-444-44-4-4-44-44-44400000000000000000000000000000000000000
χ514-4-44-44-44-444-4-44-4-44400000000000000000000000000000000000000
χ524-4-44-44-44-44-444-444-4-400000000000000000000000000000000000000
χ5388-8-800000000000000000000000000004-40000000000000000000000
χ5488-8-80000000000000000000000000000-440000000000000000000000
χ558-88-8000000000000000000000000004i−4i000000000000000000000000
χ568-88-800000000000000000000000000−4i4i000000000000000000000000

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