Finite Group Databasebeta

← Group #115358

Character table — Group #115358

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222222224444222244444488888888222444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111-1-1-1-1-111-111-1-1111-1-1-1iiii−i−i−i−i1-11-11-11-1ii−i−iii−i−iii−i−i11-1-1
χ10111111-1-1-1-1-111-111-1-1111-1-1-1iiii−i−i−i−i1-1-111-1-11ii−i−i−i−iii−i−iii-1-111
χ11111111-1-1-1-1-111-111-1-1111-1-1-1iiii−i−i−i−i-111-1-111-1−i−iiiii−i−i−i−iii-1-111
χ12111111-1-1-1-1-111-111-1-1111-1-1-1iiii−i−i−i−i-11-11-11-11−i−iii−i−iiiii−i−i11-1-1
χ13111111-1-1-1-1-111-111-1-1111-1-1-1−i−i−i−iiiii1-11-11-11-1−i−iii−i−iii−i−iii11-1-1
χ14111111-1-1-1-1-111-111-1-1111-1-1-1−i−i−i−iiiii1-1-111-1-11−i−iiiii−i−iii−i−i-1-111
χ15111111-1-1-1-1-111-111-1-1111-1-1-1−i−i−i−iiiii-111-1-111-1ii−i−i−i−iiiii−i−i-1-111
χ16111111-1-1-1-1-111-111-1-1111-1-1-1−i−i−i−iiiii-11-11-11-11ii−i−iii−i−i−i−iii11-1-1
χ1722222222222222-2-2-2-22-2-22-2-2000000002200-2-2000000000000000000
χ1822222222222222-2-2-2-22-2-22-2-200000000-2-20022000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-20000000000000000000000002-22-20000
χ202222222222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000-22-220000
χ212222222222-2-2-2-2-2-2-2-2-222-222000000000000000000002i−2i2i−2i00000000
χ222222222222-2-2-2-2-2-2-2-2-222-22200000000000000000000−2i2i−2i2i00000000
χ23222222-2-2-2-22-2-2222-2-2-2-2-22220000000000000000000000002i−2i−2i2i0000
χ24222222-2-2-2-22-2-2222-2-2-2-2-2222000000000000000000000000−2i2i2i−2i0000
χ25222222-2-2-2-22-2-22-2-222-2222-2-2000000000000000000002-2-2200000000
χ26222222-2-2-2-22-2-22-2-222-2222-2-200000000000000000000-222-200000000
χ27222222-2-2-2-2-222-2-2-2222-2-2-222000000002-200-22000000000000000000
χ28222222-2-2-2-2-222-2-2-2222-2-2-22200000000-22002-2000000000000000000
χ292222-2-222-2-222222-22-2-22-2-22-200000000000000000000000000002-22-2
χ302222-2-222-2-222222-22-2-22-2-22-20000000000000000000000000000-22-22
χ312222-2-222-2-22222-22-22-2-22-2-2200000000002-200-220000000000000000
χ322222-2-222-2-22222-22-22-2-22-2-220000000000-22002-20000000000000000
χ332222-2-222-2-2-2-2-2-22-22-22-222-222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ342222-2-222-2-2-2-2-2-22-22-22-222-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ352222-2-222-2-2-2-2-2-2-22-2222-222-200000000000000002i−2i2i−2i000000000000
χ362222-2-222-2-2-2-2-2-2-22-2222-222-20000000000000000−2i2i−2i2i000000000000
χ372222-2-2-2-2222-2-222-2-222-22-22-222-2-2-2-222000000000000000000000000
χ382222-2-2-2-2222-2-222-2-222-22-22-2-2-22222-2-2000000000000000000000000
χ392222-2-2-2-2222-2-22-222-222-2-2-2200000000000000002-2-22000000000000
χ402222-2-2-2-2222-2-22-222-222-2-2-220000000000000000-222-2000000000000
χ412222-2-2-2-222-222-22-2-22-22-22-2200000000000000000000000000002-2-22
χ422222-2-2-2-222-222-22-2-22-22-22-220000000000000000000000000000-222-2
χ432222-2-2-2-222-222-2-222-2-2-2222-200000000002200-2-20000000000000000
χ442222-2-2-2-222-222-2-222-2-2-2222-20000000000-2-200220000000000000000
χ454-44-4004-40044-4-400000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ464-44-4004-40044-4-40000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ474-44-4004-400-4-44400000000002-2-222-2-22000000000000000000000000
χ484-44-4004-400-4-4440000000000-222-2-222-2000000000000000000000000
χ494-44-400-44004-44-400000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ504-44-400-44004-44-40000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ514-44-400-4400-44-4400000000002-22-2-22-22000000000000000000000000
χ524-44-400-4400-44-440000000000-22-222-22-2000000000000000000000000
χ5388-8-800008-80000000000000000000000000000000000000000000000
χ5488-8-80000-880000000000000000000000000000000000000000000000
χ558-8-888-800000000000000000000000000000000000000000000000000
χ568-8-88-8800000000000000000000000000000000000000000000000000

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