Finite Group Databasebeta

← Group #470280

Character table — Group #470280

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222224444444444444488888888222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-111-1-1111111-1-1
χ10111111111111111111-1-1-1-1-1-11111-1-1-1-111-111-1-1-1111111-1-1-1-1-1-1-1-111
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1111111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-11111-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11111-1-111
χ17222222-2-2-2-222-22-2-2-220000002i2i−2i−2i00000002-2000002i−2i000000000000
χ18222222-2-2-2-222-22-2-2-220000002i2i−2i−2i0000000-2200000−2i2i000000000000
χ19222222-2-2-2-222-22-2-2-22000000−2i−2i2i2i00000002-200000−2i2i000000000000
χ20222222-2-2-2-222-22-2-2-22000000−2i−2i2i2i0000000-22000002i−2i000000000000
χ21222222-2-2-2-2-2-22-2222-200000000002i2i−2i−2i0020000-22i−2i00000000000000
χ22222222-2-2-2-2-2-22-2222-200000000002i2i−2i−2i00-200002−2i2i00000000000000
χ23222222-2-2-2-2-2-22-2222-20000000000−2i−2i2i2i0020000-2−2i2i00000000000000
χ24222222-2-2-2-2-2-22-2222-20000000000−2i−2i2i2i00-2000022i−2i00000000000000
χ252222-2-22-2-222-2-2-222-222222-2-2000000002-20002-200000000000000000
χ262222-2-22-2-222-2-2-222-222222-2-200000000-22000-2200000000000000000
χ272222-2-22-2-222-2-2-222-22-2-2-2-222000000002-2000-2200000000000000000
χ282222-2-22-2-222-2-2-222-22-2-2-2-22200000000-220002-200000000000000000
χ292-2-222-222-2-22-2-222-22-200000000002i−2i2i−2i00000000000000002-200002i−2i
χ302-2-222-222-2-22-2-222-22-200000000002i−2i2i−2i0000000000000000-220000−2i2i
χ312-2-222-222-2-22-2-222-22-20000000000−2i2i−2i2i00000000000000002-20000−2i2i
χ322-2-222-222-2-22-2-222-22-20000000000−2i2i−2i2i0000000000000000-2200002i−2i
χ332-2-222-222-2-2-222-2-22-220000002i−2i2i−2i00000000000000000000002-22i−2i00
χ342-2-222-222-2-2-222-2-22-220000002i−2i2i−2i0000000000000000000000-22−2i2i00
χ352-2-222-222-2-2-222-2-22-22000000−2i2i−2i2i00000000000000000000002-2−2i2i00
χ362-2-222-222-2-2-222-2-22-22000000−2i2i−2i2i0000000000000000000000-222i−2i00
χ372-2-222-2-2-222-22-2-22-22222-2-22-22-2-222-2-22000000000000000000000000
χ382-2-222-2-2-222-22-2-22-22222-2-22-2-222-2-222-2000000000000000000000000
χ392-2-222-2-2-222-22-2-22-222-2-222-222-2-22-222-2000000000000000000000000
χ402-2-222-2-2-222-22-2-22-222-2-222-22-222-22-2-22000000000000000000000000
χ412-2-22-22-22-22-2-2222-2-2222-2-2-22000000000000000000002-22-200000000
χ422-2-22-22-22-22-2-2222-2-2222-2-2-2200000000000000000000-22-2200000000
χ432-2-22-22-22-22-2-2222-2-22-2-2222-2000000000000000000002-2-2200000000
χ442-2-22-22-22-22-2-2222-2-22-2-2222-200000000000000000000-222-200000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ464444-4-44-4-44-4444-4-44-400000000000000000000000000000000000000
χ474444-4-4-444-44-44-4-4-44400000000000000000000000000000000000000
χ484444-4-4-444-4-44-4444-4-400000000000000000000000000000000000000
χ494-4-444-4-4-4444-444-44-4-400000000000000000000000000000000000000
χ504-4-44-444-44-4444-44-4-4-400000000000000000000000000000000000000
χ514-4-44-444-44-4-4-4-44-444400000000000000000000000000000000000000
χ524-4-44-44-44-4444-4-4-444-400000000000000000000000000000000000000
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).