Finite Group Databasebeta

← Group #348630

Character table — Group #348630

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882224444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-11-11-1-1-1-11-1-111-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-1-1-11-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1111111-1-1111-1-111-1
χ911111111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11-1-11-11
χ1011111111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-111-111-11-1
χ1111111111111-1-111-1-111111-1-1-1-1-1-1-1-11-11-11-1-11-1-1-111-1-1111111-1-1-11-111-1
χ1211111111111-1-111-1-111111-1-1-1-1-1-1-1-11-11-11-1-11-1-1-111-1-11111-1-1111-11-1-11
χ1311111111111-1-111-1-11-1-1-1-111111111-1-1-1-1-111-11-1-1-1-1-1-11111111111-1-1-1-1
χ1411111111111-1-111-1-11-1-1-1-111111111-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1511111111111-1-111-1-11-1-1-1-1111111-1-11-11-11-1-11111-1-111-1-1-1-11111-1-1-1-111
χ1611111111111-1-111-1-11-1-1-1-1111111-1-11-11-11-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1
χ1722222222-2-2-222-2-2-2-2200000000002222-2-22-2-2-2000000000000000000000
χ1822222222-2-2-222-2-2-2-220000000000-2-2-222-2-2222000000000000000000000
χ1922222222-2-2-2-2-2-2-2222000000000022-2-222-2-2-22000000000000000000000
χ2022222222-2-2-2-2-2-2-22220000000000-2-22-2-22222-2000000000000000000000
χ21222222-2-222-200-2200-200002222-2-20020-20-2002-2-2-2002200000000000000
χ22222222-2-222-200-2200-200002222-2-200-2020200-2-22200-2-200000000000000
χ23222222-2-222-200-2200-20000-2-2-2-2220020-20-200222200-2-200000000000000
χ24222222-2-222-200-2200-20000-2-2-2-22200-2020200-22-2-2002200000000000000
χ25222222-2-2-2-22002-200-22i2i−2i−2i000000002020-200-20002i−2i002i2i−2i−2i0000000000
χ26222222-2-2-2-22002-200-22i2i−2i−2i00000000-20-2020020002i−2i00−2i−2i2i2i0000000000
χ27222222-2-2-2-22002-200-2−2i−2i2i2i000000002020-200-2000−2i2i00−2i−2i2i2i0000000000
χ28222222-2-2-2-22002-200-2−2i−2i2i2i00000000-20-202002000−2i2i002i2i−2i−2i0000000000
χ292222-2-22222-2222-222-2222222-2-222000-20-20000-200-2-20000000000000000
χ302222-2-22222-2222-222-2-2-2-2-2-2-222-2-2000-20-20000200220000000000000000
χ312222-2-22222-2-2-22-2-2-2-22222-2-222-2-20002020000200-2-20000000000000000
χ322222-2-22222-2-2-22-2-2-2-2-2-2-2-222-2-2220002020000-200220000000000000000
χ332222-2-222-2-2222-22-2-2-20000000000000-202000002i−2i002i−2i2i−2i2i−2i0000000000
χ342222-2-222-2-2222-22-2-2-20000000000000-20200000−2i2i00−2i2i−2i2i−2i2i0000000000
χ352222-2-222-2-22-2-2-2222-2000000000000020-2000002i−2i002i−2i−2i2i−2i2i0000000000
χ362222-2-222-2-22-2-2-2222-2000000000000020-200000−2i2i00−2i2i2i−2i2i−2i0000000000
χ372222-2-2-2-222200-2-2002000022-2-2-2-22-2000002-2020000002-2-220000000000
χ382222-2-2-2-222200-2-2002000022-2-2-2-2-2200000-2202000000-222-20000000000
χ392222-2-2-2-222200-2-20020000-2-222222-2000002-20-2000000-222-20000000000
χ402222-2-2-2-222200-2-20020000-2-22222-2200000-220-20000002-2-220000000000
χ412222-2-2-2-2-2-2-200220022i2i−2i−2i0000002-200000-2200−2i2i−2i2i2i−2i00000000000000
χ422222-2-2-2-2-2-2-200220022i2i−2i−2i000000-22000002-2002i−2i−2i2i−2i2i00000000000000
χ432222-2-2-2-2-2-2-20022002−2i−2i2i2i0000002-200000-22002i−2i2i−2i−2i2i00000000000000
χ442222-2-2-2-2-2-2-20022002−2i−2i2i2i000000-22000002-200−2i2i2i−2i2i−2i00000000000000
χ454-44-4004-400000004i−4i022−2222−222i2−2i2002i2−2i20000000000000000000000000000000
χ464-44-4004-400000004i−4i0−2222−2222−2i22i200−2i22i20000000000000000000000000000000
χ474-44-4004-40000000−4i4i022−2222−22−2i22i200−2i22i20000000000000000000000000000000
χ484-44-4004-40000000−4i4i0−2222−22222i2−2i2002i2−2i20000000000000000000000000000000
χ494-44-400-440004-4000002i2−2i2−2i22i22i2−2i200−2i22i20000000000000000000000000000000
χ504-44-400-440004-400000−2i22i22i2−2i2−2i22i2002i2−2i20000000000000000000000000000000
χ514-44-400-44000-44000002i2−2i2−2i22i2−2i22i2002i2−2i20000000000000000000000000000000
χ524-44-400-44000-4400000−2i22i22i2−2i22i2−2i200−2i22i20000000000000000000000000000000
χ534-4-4400004-4000000000000004i−4i000000000000000000000002i−2i2-2000000
χ544-4-4400004-4000000000000004i−4i00000000000000000000000−2i2i-22000000
χ554-4-4400004-400000000000000−4i4i000000000000000000000002i−2i-22000000
χ564-4-4400004-400000000000000−4i4i00000000000000000000000−2i2i2-2000000
χ5788-8-88-800000000000000000000000000000000000000000000000000000
χ5888-8-8-8800000000000000000000000000000000000000000000000000000
χ598-8-880000-880000000000000000000000000000000000000000000000000

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