Finite Group Databasebeta

← Group #347347

Character table — Group #347347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222222222444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-11-1-1
χ411111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111-1-1-1-1-1-1111-1-1-1111-1111-1-1-11-1-11-1111111-1-111-1-1-11-1
χ611111111111111111-1-1-1-1-1-1111-1-1-1111-1111-1-1-11-1-11-1-1-1-1-1-1-111-1-1111-11
χ711111111111111111-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-11111111-1-1-1-111-1-11
χ811111111111111111-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-11-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-11111111-1-111-11-1-1-1-1-1111-11-1-1-1-1-1-111111-1-1-1-1-1-11111-1
χ10111111111111-1-11111111-1-111-11-1-1-1-1-1111-11-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11
χ11111111111111-1-11111111-1-1-1-11-111-1-11-1-1-11-111-1-1-11-11111-1-1-1-111-1-11-11
χ12111111111111-1-11111111-1-1-1-11-111-1-11-1-1-11-111-1-1-11-1-1-1-1-11111-1-111-11-1
χ13111111111111-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-111-1-11111-1-111-1-1-1-1-111
χ14111111111111-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-111-1-1-1-1-1-111-1-111111-1-1
χ15111111111111-1-1111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-111111111-1-1111111-1-1-1
χ16111111111111-1-1111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ1722222222-222-200-2-2-2000022002-20000-22002-2000-2-2-22000000000000000
χ1822222222-222-200-2-2-200002200-2200002-200-22000-2-22-2000000000000000
χ1922222222-222-200-2-2-20000-2-200220000-2-2002200022-2-2000000000000000
χ2022222222-222-200-2-2-20000-2-200-2-200002200-2-20002222000000000000000
χ21222222-2-22-2-2222-2-2222-2-22-2000000-2-20000000022-200000000000000000
χ22222222-2-22-2-2222-2-22-2-222-22000000-2-2000000002-2200000000000000000
χ23222222-2-22-2-22-2-2-2-2222-2-2-220000002200000000-2-2200000000000000000
χ24222222-2-22-2-22-2-2-2-22-2-2222-20000002200000000-22-200000000000000000
χ25222222-2-2-2-2-2-20022-200002-22-2002-200002-2002-20-2200000000000000000
χ26222222-2-2-2-2-2-20022-200002-2-2200-220000-2200-220-2200000000000000000
χ27222222-2-2-2-2-2-20022-20000-222-200-2200002-200-2202-200000000000000000
χ28222222-2-2-2-2-2-20022-20000-22-22002-20000-22002-202-200000000000000000
χ292222-2-22-222-22222-2-20000000002222-20-2000-2-2-2-20002000000000000000
χ302222-2-22-222-22222-2-2000000000-2-2-22-202000222-2000-2000000000000000
χ312222-2-22-222-22-2-22-2-20000000002-2-2-220-2000-22220002000000000000000
χ322222-2-22-222-22-2-22-2-2000000000-222-22020002-2-22000-2000000000000000
χ332222-2-22-2-22-2-200-2222-22-2002-202000002-220-2000000-2000000000000000
χ342222-2-22-2-22-2-200-2222-22-200-220-200000-22-2020000002000000000000000
χ352222-2-22-2-22-2-200-222-22-22002-20-200000-2-22020000002000000000000000
χ362222-2-22-2-22-2-200-222-22-2200-22020000022-20-2000000-2000000000000000
χ372222-2-2-222-22222-22-2000000222000-22-20-2-2-2000-20020000000000000000
χ382222-2-2-222-22222-22-2000000-2-2-2000-2220222000-200-20000000000000000
χ392222-2-2-222-222-2-2-22-200000022-20002-220-2-22000200-20000000000000000
χ402222-2-2-222-222-2-2-22-2000000-2-220002-2-2022-200020020000000000000000
χ412222-2-2-22-2-22-2002-222-2-22000020-22002000-202-2000-20000000000000000
χ422222-2-2-22-2-22-2002-222-2-220000-202-200-200020-2200020000000000000000
χ432222-2-2-22-2-22-2002-22-222-20000202-2002000-20-22000-20000000000000000
χ442222-2-2-22-2-22-2002-22-222-20000-20-2200-2000202-200020000000000000000
χ454-44-44-44-40-4400000000000000000000000000000000000000000002i2−2i2000
χ464-44-44-44-40-440000000000000000000000000000000000000000000−2i22i2000
χ474-44-44-4-4404-4000000000000000000000000000000000000000002i2−2i200000
χ484-44-44-4-4404-400000000000000000000000000000000000000000−2i22i200000
χ494-44-4-44440-4-40000000000000000000000000000000002i22i2−2i2−2i200000000000
χ504-44-4-44440-4-4000000000000000000000000000000000−2i2−2i22i22i200000000000
χ514-44-4-44-4-404400000000000000000000000000000000000000022−220000000
χ524-44-4-44-4-4044000000000000000000000000000000000000000−22220000000
χ534-4-440000-40044-40000000000000000000000000000002-22-22-2000000000
χ544-4-440000-40044-4000000000000000000000000000000-22-22-22000000000
χ554-4-440000-4004-440000000000000000000000000000002-22-2-22000000000
χ564-4-440000-4004-44000000000000000000000000000000-22-222-2000000000
χ5788-8-800000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ5888-8-80000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ598-8-880000800-800000000000000000000000000000000000000000000000

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