Finite Group Databasebeta

← Group #348153

Character table — Group #348153

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244888822444444488888822244444448888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111-1-1-1-111-11-11-11-1-11-111-1-111-1-111-1-11111-1-111-1-1
χ611111111111111-1-1-1-1111-1-1-1-111-11-11-11-1-11-111-1-111-1-111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1111-1-1-1-111-1-11-11-11-1-11-1-11111-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1111-1-1-1-111-1-11-11-11-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1
χ911111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ1111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-11-1-11-11
χ1211111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-11111-1-111-111-11-1
χ1311111111-1-1-1-111-1-1-1-11111111-1-1-11-11-11-1-11-1-1-111-1-111-1-11111-1-1-111-1-11
χ1411111111-1-1-1-111-1-1-1-11111111-1-1-11-11-11-1-11-1-1-111-1-111-1-111-1-1111-1-111-1
χ1511111111-1-1-1-111-1-1-1-11111111-1-1-1-11-11-11-1-1111-1-1-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1-1-111-1-1-1-11111111-1-1-1-11-11-11-1-1111-1-1-1-11111-1-1-1-1111-11-1-11
χ17222222222222-2-222222-2-2222222-2000000-2000000-2-2-2-200000000000000
χ18222222222222-2-2-2-2-2-22-2-2-2-2-2-22220000002000000-2-22200000000000000
χ1922222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2000000-2000000222200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22-2-22222-2-22000000200000022-2-200000000000000
χ21222222-2-200002222-2-2-2-2-2000000-20000002002i−2i2i−2i00002i−2i2i−2i0000000000
χ22222222-2-200002222-2-2-2-2-2000000-2000000200−2i2i−2i2i0000−2i2i−2i2i0000000000
χ23222222-2-2000022-2-222-2-2-20000002000000-2002i−2i−2i2i00002i−2i−2i2i0000000000
χ24222222-2-2000022-2-222-2-2-20000002000000-200−2i2i2i−2i0000−2i2i2i−2i0000000000
χ25222222-2-20000-2-222-2-2-22200000022-2-222-2-2-220000000000000000000000
χ26222222-2-20000-2-222-2-2-2220000002-222-2-22-22-20000000000000000000000
χ27222222-2-20000-2-2-2-222-222000000-222-2-2222-2-20000000000000000000000
χ28222222-2-20000-2-2-2-222-222000000-2-2-222-2-22220000000000000000000000
χ292222-2-22222222-20000-22-20000-2-20020-20-200200-2-22-20000220000000000
χ302222-2-22222222-20000-22-20000-2-200-2020200-200222-20000-2-20000000000
χ312222-2-2222222-220000-2-220000-2-2020-20-20020-2-200-220022000000000000
χ322222-2-2222222-220000-2-220000-2-20-2020200-202200-2200-2-2000000000000
χ332222-2-222-2-2-2-22-20000-22-20000220020-20-20020022-220000-2-20000000000
χ342222-2-222-2-2-2-22-20000-22-200002200-2020200-200-2-2-220000220000000000
χ352222-2-222-2-2-2-2-220000-2-22000022020-20-2002022002-200-2-2000000000000
χ362222-2-222-2-2-2-2-220000-2-220000220-2020200-20-2-2002-20022000000000000
χ372222-2-2-2-200002-200002-222i2i−2i−2i0002020-200-20002i−2i002i−2i00−2i2i0000000000
χ382222-2-2-2-200002-200002-222i2i−2i−2i000-20-202002000−2i2i002i−2i002i−2i0000000000
χ392222-2-2-2-200002-200002-22−2i−2i2i2i0002020-200-2000−2i2i00−2i2i002i−2i0000000000
χ402222-2-2-2-200002-200002-22−2i−2i2i2i000-20-2020020002i−2i00−2i2i00−2i2i0000000000
χ412222-2-2-2-20000-22000022-22i2i−2i−2i00002020-200-2−2i2i0000−2i2i2i−2i000000000000
χ422222-2-2-2-20000-22000022-22i2i−2i−2i0000-20-2020022i−2i0000−2i2i−2i2i000000000000
χ432222-2-2-2-20000-22000022-2−2i−2i2i2i00002020-200-22i−2i00002i−2i−2i2i000000000000
χ442222-2-2-2-20000-22000022-2−2i−2i2i2i0000-20-202002−2i2i00002i−2i2i−2i000000000000
χ454-44-44-4002i22i2−2i2−2i200004-40002i2−2i22i2−2i22i2−2i200000000000000000000000000000000
χ464-44-44-4002i22i2−2i2−2i20000-44000−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ474-44-44-400−2i2−2i22i22i200004-4000−2i22i2−2i22i2−2i22i200000000000000000000000000000000
χ484-44-44-400−2i2−2i22i22i20000-440002i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ494-44-4-44002i22i2−2i2−2i2004i−4i0000022−22−2222−2i22i200000000000000000000000000000000
χ504-44-4-44002i22i2−2i2−2i200−4i4i00000−222222−22−2i22i200000000000000000000000000000000
χ514-44-4-4400−2i2−2i22i22i2004i−4i00000−222222−222i2−2i200000000000000000000000000000000
χ524-44-4-4400−2i2−2i22i22i200−4i4i0000022−22−22222i2−2i200000000000000000000000000000000
χ534-4-44004-44i−4i4i−4i00000000000000000000000000000000000002i−2i2-2000000
χ544-4-44004-44i−4i4i−4i0000000000000000000000000000000000000−2i2i-22000000
χ554-4-44004-4−4i4i−4i4i00000000000000000000000000000000000002i−2i-22000000
χ564-4-44004-4−4i4i−4i4i0000000000000000000000000000000000000−2i2i2-2000000
χ5788-8-8000042−42−424200000000000000000000000000000000000000000000000
χ5888-8-80000−424242−4200000000000000000000000000000000000000000000000
χ598-8-8800-88000000000000000000000000000000000000000000000000000

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