Finite Group Databasebeta

← Group #470998

Character table — Group #470998

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222222222222244444444444444224444444444444444444444
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-1111111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ9111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111111
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1111-1-111-1-111-1-1-1-111-1-111
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1111111-1-111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-1-1-1-1-111-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-1
χ17222222-22222-2-2-2-2-2-2-200000000002i2i−2i−2i20-2000002i−2i00000000000000
χ18222222-22222-2-2-2-2-2-2-200000000002i2i−2i−2i-20200000−2i2i00000000000000
χ19222222-22222-2-2-2-2-2-2-20000000000−2i−2i2i2i20-200000−2i2i00000000000000
χ20222222-22222-2-2-2-2-2-2-20000000000−2i−2i2i2i-202000002i−2i00000000000000
χ2122222-222-2-2-2222-2-2-2-20000002i2i−2i−2i0000020-2000000002i−2i0000000000
χ2222222-222-2-2-2222-2-2-2-20000002i2i−2i−2i00000-20200000000−2i2i0000000000
χ2322222-222-2-2-2222-2-2-2-2000000−2i−2i2i2i0000020-200000000−2i2i0000000000
χ2422222-222-2-2-2222-2-2-2-2000000−2i−2i2i2i00000-202000000002i−2i0000000000
χ252222-222-22-2-22-2-222-2-22222-2-20000000000000000000000002i−2i2i−2i0000
χ262222-222-22-2-22-2-222-2-22222-2-2000000000000000000000000−2i2i−2i2i0000
χ272222-222-22-2-22-2-222-2-2-2-2-2-2220000000000000000000000002i−2i−2i2i0000
χ282222-222-22-2-22-2-222-2-2-2-2-2-222000000000000000000000000−2i2i2i−2i0000
χ292-22-2222-2-22-2-22-22-2-222i2i−2i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000
χ302-22-2222-2-22-2-22-22-2-222i2i−2i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000
χ312-22-2222-2-22-2-22-22-2-22−2i−2i2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000
χ322-22-2222-2-22-2-22-22-2-22−2i−2i2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000
χ332-22-222-2-2-22-22-22-222-200000000002i−2i−2i2i00002i−2i2-20000000000000000
χ342-22-222-2-2-22-22-22-222-200000000002i−2i−2i2i0000−2i2i-220000000000000000
χ352-22-222-2-2-22-22-22-222-20000000000−2i2i2i−2i00002i−2i-220000000000000000
χ362-22-222-2-2-22-22-22-222-20000000000−2i2i2i−2i0000−2i2i2-20000000000000000
χ372-22-22-22-22-22-22-2-222-20000002-2-22000000000000002i−2i000000002i−2i00
χ382-22-22-22-22-22-22-2-222-20000002-2-2200000000000000−2i2i00000000−2i2i00
χ392-22-22-22-22-22-22-2-222-2000000-222-2000000000000002i−2i00000000−2i2i00
χ402-22-22-22-22-22-22-2-222-2000000-222-200000000000000−2i2i000000002i−2i00
χ412-22-2-2222-2-22-2-222-22-22i2i−2i−2i−2i2i00000000000000000000002-20000002i−2i
χ422-22-2-2222-2-22-2-222-22-22i2i−2i−2i−2i2i0000000000000000000000-22000000−2i2i
χ432-22-2-2222-2-22-2-222-22-2−2i−2i2i2i2i−2i00000000000000000000002-2000000−2i2i
χ442-22-2-2222-2-22-2-222-22-2−2i−2i2i2i2i−2i0000000000000000000000-220000002i−2i
χ4544444-4-44-4-4-4-4-4-4444400000000000000000000000000000000000000
χ464444-44-4-44-4-4-444-4-44400000000000000000000000000000000000000
χ474444-4-44-4-4444-4-4-4-44400000000000000000000000000000000000000
χ484444-4-4-4-4-444-44444-4-400000000000000000000000000000000000000
χ494-44-44-4-4-44-444-444-4-4400000000000000000000000000000000000000
χ504-44-4-44-44-4-4444-4-44-4400000000000000000000000000000000000000
χ514-44-4-4-44444-4-4-44-44-4400000000000000000000000000000000000000
χ524-44-4-4-4-4444-444-44-44-400000000000000000000000000000000000000
χ5388-8-8000000000000004i−4i4i−4i0000000000000000000000000000000000
χ5488-8-800000000000000−4i4i−4i4i0000000000000000000000000000000000
χ558-8-88000000000000004-4-440000000000000000000000000000000000
χ568-8-8800000000000000-444-40000000000000000000000000000000000

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