Finite Group Databasebeta

← Group #347166

Character table — Group #347166

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111224444444488888888888888888888888888888881616323232323232
order12222244444444222222222444444444444444444888888448888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111-1-1111111-1-111-1-1
χ6111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-111
χ8111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1
χ9111111-1-1111111-111111-11-1-1-1-1-1-111-1-111-1-1-11-11-11111-1-11-11-11-1
χ10111111-1-1111111-111111-11-1-1-1-1-1-111-1-111-1-1-11-11-1-1-1-1-111-11-11-11
χ11111111-1-1111111-11111-11-11-1-1-1-1-1-1-111-1-111-1-11-111111-1-11-1-11-11
χ12111111-1-1111111-11111-11-11-1-1-1-1-1-1-111-1-111-1-11-11-1-1-1-111-111-11-1
χ13111111-1-1111111-1-1-1-1-11-1-11-1111111-1-1-1-111-11-1-111111-1-1-111-1-11
χ14111111-1-1111111-1-1-1-1-11-1-11-1111111-1-1-1-111-11-1-11-1-1-1-1111-1-111-1
χ15111111-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-11111-1-1-11-111-1
χ16111111-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1111-11-1-11
χ172222222222-2-2-2-220000002-2-200000000-2-222-2002-2000000000000
χ182222222222-2-2-2-22000000-22-20000000022-2-2-200-22000000000000
χ1922222222-2-222-2-2-200002-200-20000-2-222000022-200000000000000
χ2022222222-2-222-2-2-20000-2200-2000022-2-200002-2200000000000000
χ2122222222-2-2-2-222-222-2-20000222-2-200000000-20000000000000000
χ2222222222-2-2-2-222-2-2-22200002-2-22200000000-20000000000000000
χ23222222-2-222-2-2-2-2-200000022200000000-2-2-2-220022000000000000
χ24222222-2-222-2-2-2-2-2000000-2-22000000002222200-2-2000000000000
χ25222222-2-2-2-222-2-220000220020000-2-2-2-20000-22200000000000000
χ26222222-2-2-2-222-2-220000-2-2002000022220000-2-2-200000000000000
χ27222222-2-2-2-2-2-222222-2-20000-2-2-2220000000020000000000000000
χ28222222-2-2-2-2-2-2222-2-2220000-222-2-20000000020000000000000000
χ292222-2-2002-22-22-200000022002-22-2002-22-20000-2-20000000000000
χ302222-2-2002-22-22-20000002-200-22-22002-2-220000-220000000000000
χ312222-2-2002-22-22-2000000-2200-22-2200-222-200002-20000000000000
χ322222-2-2002-22-22-2000000-2-2002-22-200-22-220000220000000000000
χ332222-2-2002-2-22-2202-22-22020000002-200-22000-20-20000000000000
χ342222-2-2002-2-22-2202-22-2-20-2000000-22002-20002020000000000000
χ352222-2-2002-2-22-220-22-2220-20000002-2002-2000-2020000000000000
χ362222-2-2002-2-22-220-22-22-202000000-2200-2200020-20000000000000
χ372222-2-200-222-2-2202-2-2202020000000-22002-200-20-2000000000000
χ382222-2-200-222-2-2202-2-220-20-200000002-200-2200202000000000000
χ392222-2-200-222-2-220-222-2020-20000000-2200-2200-202000000000000
χ402222-2-200-222-2-220-222-20-20200000002-2002-20020-2000000000000
χ412222-2-200-22-222-200000200202-2-22-220000-220-200-2000000000000
χ422222-2-200-22-222-200000200-20-222-2-2200002-20-2002000000000000
χ432222-2-200-22-222-200000-20020-222-22-20000-220200-2000000000000
χ442222-2-200-22-222-200000-200-202-2-222-200002-202002000000000000
χ454-4-444-44i−4i00000000000000000000000000000000022-2-22i−2i000000
χ464-4-444-44i−4i000000000000000000000000000000000-2-222−2i2i000000
χ474-4-444-4−4i4i00000000000000000000000000000000022-2-2−2i2i000000
χ484-4-444-4−4i4i000000000000000000000000000000000-2-2222i−2i000000
χ4988-8-800000000000000000000000000000000000002i2−2i22i2−2i200000000
χ5088-8-80000000000000000000000000000000000000−2i22i2−2i22i200000000
χ518-88-800000000000000000000000000000000000002i2−2i2−2i22i200000000
χ528-88-80000000000000000000000000000000000000−2i22i22i2−2i200000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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