Finite Group Databasebeta

← Group #470592

Character table — Group #470592

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222222222222244444444444444244444444444444444444444
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-11-1-111-1-111-1-1-1-111-1-11111
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1111111
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-11111-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ172222222-2-222-2-2-2-22-2-20000002i2i−2i−2i000002-2000002i−2i00000000000000
χ182222222-2-222-2-2-2-22-2-20000002i2i−2i−2i00000-2200000−2i2i00000000000000
χ192222222-2-222-2-2-2-22-2-2000000−2i−2i2i2i000002-200000−2i2i00000000000000
χ202222222-2-222-2-2-2-22-2-2000000−2i−2i2i2i00000-22000002i−2i00000000000000
χ2122222-2-2222-22-2-2-2-22-22222-2-200000000000000000000002i−2i0000002i−2i
χ2222222-2-2222-22-2-2-2-22-22222-2-20000000000000000000000−2i2i000000−2i2i
χ2322222-2-2222-22-2-2-2-22-2-2-2-2-22200000000000000000000002i−2i000000−2i2i
χ2422222-2-2222-22-2-2-2-22-2-2-2-2-2220000000000000000000000−2i2i0000002i−2i
χ252222-22-22-2-22222-2-2-2-200000000002i2i−2i−2i200-2000000000000002i−2i0000
χ262222-22-22-2-22222-2-2-2-200000000002i2i−2i−2i-200200000000000000−2i2i0000
χ272222-22-22-2-22222-2-2-2-20000000000−2i−2i2i2i200-200000000000000−2i2i0000
χ282222-22-22-2-22222-2-2-2-20000000000−2i−2i2i2i-2002000000000000002i−2i0000
χ292-2-22222-2-2-2-222-22-22-222-2-22-2000000000000000000002i−2i0000002i−2i00
χ302-2-22222-2-2-2-222-22-22-222-2-22-200000000000000000000−2i2i000000−2i2i00
χ312-2-22222-2-2-2-222-22-22-2-2-222-22000000000000000000002i−2i000000−2i2i00
χ322-2-22222-2-2-2-222-22-22-2-2-222-2200000000000000000000−2i2i0000002i−2i00
χ332-2-222-2-222-22-22-222-2-20000002i−2i2i−2i00000000002i−2i002-2000000000000
χ342-2-222-2-222-22-22-222-2-20000002i−2i2i−2i0000000000−2i2i00-22000000000000
χ352-2-222-2-222-22-22-222-2-2000000−2i2i−2i2i00000000002i−2i00-22000000000000
χ362-2-222-2-222-22-22-222-2-2000000−2i2i−2i2i0000000000−2i2i002-2000000000000
χ372-2-222-2-2-2-2-222-22-222222-2-2-222-2-222-22-2000000000000000000000000
χ382-2-222-2-2-2-2-222-22-222222-2-2-22-222-2-22-22000000000000000000000000
χ392-2-222-2-2-2-2-222-22-2222-2-2222-22-2-22-22-22000000000000000000000000
χ402-2-222-2-2-2-2-222-22-2222-2-2222-2-222-22-22-2000000000000000000000000
χ412-2-22-2-22-22222-222-2-2-200000000002i−2i−2i2i00002-200000000002i−2i000000
χ422-2-22-2-22-22222-222-2-2-200000000002i−2i−2i2i0000-220000000000−2i2i000000
χ432-2-22-2-22-22222-222-2-2-20000000000−2i2i2i−2i00002-20000000000−2i2i000000
χ442-2-22-2-22-22222-222-2-2-20000000000−2i2i2i−2i0000-2200000000002i−2i000000
χ4544444-4-4-4-44-4-4444-4-4400000000000000000000000000000000000000
χ464444-44-4-44-44-4-4-44-44400000000000000000000000000000000000000
χ474444-4-444-4-4-44-4-444-4400000000000000000000000000000000000000
χ484444-4-44-44-4-4-444-444-400000000000000000000000000000000000000
χ494-4-4444444-4-4-4-44-4-4-4400000000000000000000000000000000000000
χ504-4-44-44-44-44-4-4-44444-400000000000000000000000000000000000000
χ514-4-44-44-4-444-444-4-44-4400000000000000000000000000000000000000
χ524-4-44-4-444-444-44-4-4-44400000000000000000000000000000000000000
χ5388-8-8000000000000004i−4i4i−4i0000000000000000000000000000000000
χ5488-8-800000000000000−4i4i−4i4i0000000000000000000000000000000000
χ558-88-8000000000000004i−4i−4i4i0000000000000000000000000000000000
χ568-88-800000000000000−4i4i4i−4i0000000000000000000000000000000000

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