Finite Group Databasebeta

← Group #348631

Character table — Group #348631

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442224444488888888882444444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11-1-1-1-11-1-1-111-1-11-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-11-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-111
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
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111-111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111-1111111-1-1111-1-111-1
χ911111111111-1-11-1-111111111-1-1-1-11-11-1-11-11-1-1-1-111111-1-1-1-11111-1-1-1-111
χ1011111111111-1-11-1-111111111-1-1-1-11-11-1-11-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1
χ1111111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-11111111111-1-1-1-1
χ1211111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-11111
χ1311111111111-1-11-1-111-1-1-1-1-1-111111-11-1-11-11-1-111-1-1-1-1-1111111-1-1-11-111-1
χ1411111111111-1-11-1-111-1-1-1-1-1-111111-11-1-11-11-1-111-1-1-1-1-11111-1-1111-11-1-11
χ1511111111111-1-11-1-111-1-1-1-1-1-11111-1-1-111-1-1-1111111-111-1-1-1-111-1-11-1-11-11
χ1611111111111-1-11-1-111-1-1-1-1-1-11111-1-1-111-1-1-1111111-111-1-1-1-1-1-111-111-11-1
χ1722222222-2-2-222-2-2-2-22000000000022-2-2-2-2-2222000000000000000000000
χ1822222222-2-2-222-2-2-2-220000000000-222222-2-2-2-2000000000000000000000
χ1922222222-2-2-2-2-2-222-2200000000002-2-222-222-2-2000000000000000000000
χ2022222222-2-2-2-2-2-222-220000000000-2-22-2-222-222000000000000000000000
χ21222222-2-222-200-2002-222-2-222000020-20020-2000022-2-2-200000000000000
χ22222222-2-222-200-2002-222-2-2220000-20200-2020000-2-2-22200000000000000
χ23222222-2-222-200-2002-2-2-222-2-2000020-20020-20000-2-222200000000000000
χ24222222-2-222-200-2002-2-2-222-2-20000-20200-2020000222-2-200000000000000
χ25222222-2-2-2-2200200-2-20000002i2i−2i−2i20200-20-2002i−2i000002i2i−2i−2i0000000000
χ26222222-2-2-2-2200200-2-20000002i2i−2i−2i-20-200202002i−2i00000−2i−2i2i2i0000000000
χ27222222-2-2-2-2200200-2-2000000−2i−2i2i2i20200-20-200−2i2i00000−2i−2i2i2i0000000000
χ28222222-2-2-2-2200200-2-2000000−2i−2i2i2i-20-20020200−2i2i000002i2i−2i−2i0000000000
χ292222-2-22222-222222-2-222-2-2-2-2-2-2-2-20-20000-2000220020000000000000000
χ302222-2-22222-222222-2-2-2-2222222220-20000-2000-2-200-20000000000000000
χ312222-2-22222-2-2-22-2-2-2-222-2-2-2-222220200002000-2-20020000000000000000
χ322222-2-22222-2-2-22-2-2-2-2-2-22222-2-2-2-202000020002200-20000000000000000
χ332222-2-222-2-2222-2-2-22-200000000000-200002000002i−2i02i−2i2i−2i2i−2i0000000000
χ342222-2-222-2-2222-2-2-22-200000000000-20000200000−2i2i0−2i2i−2i2i−2i2i0000000000
χ352222-2-222-2-22-2-2-2222-20000000000020000-2000002i−2i02i−2i−2i2i−2i2i0000000000
χ362222-2-222-2-22-2-2-2222-20000000000020000-200000−2i2i0−2i2i2i−2i2i−2i0000000000
χ372222-2-2-2-222200-200-222222-2-200000002-20002-20000-2002-2-220000000000
χ382222-2-2-2-222200-200-222222-2-20000000-22000-220000-200-222-20000000000
χ392222-2-2-2-222200-200-22-2-2-2-22200000002-20002-20000200-222-20000000000
χ402222-2-2-2-222200-200-22-2-2-2-2220000000-22000-2200002002-2-220000000000
χ412222-2-2-2-2-2-2-200200220000002i2i−2i−2i0002-2000-22−2i2i2i−2i0−2i2i00000000000000
χ422222-2-2-2-2-2-2-200200220000002i2i−2i−2i000-220002-2−2i2i−2i2i02i−2i00000000000000
χ432222-2-2-2-2-2-2-20020022000000−2i−2i2i2i0002-2000-222i−2i−2i2i02i−2i00000000000000
χ442222-2-2-2-2-2-2-20020022000000−2i−2i2i2i000-220002-22i−2i2i−2i0−2i2i00000000000000
χ454-44-40000-44000000004i−4i000000000000000000000000000002i−2i2-2000000
χ464-44-40000-44000000004i−4i00000000000000000000000000000−2i2i-22000000
χ474-44-40000-4400000000−4i4i000000000000000000000000000002i−2i-22000000
χ484-44-40000-4400000000−4i4i00000000000000000000000000000−2i2i2-2000000
χ494-4-44004-40000004i−4i00002i2−2i22i2−2i222−2222−220000000000000000000000000000000
χ504-4-44004-40000004i−4i0000−2i22i2−2i22i2−2222−22220000000000000000000000000000000
χ514-4-44004-4000000−4i4i00002i2−2i22i2−2i2−2222−22220000000000000000000000000000000
χ524-4-44004-4000000−4i4i0000−2i22i2−2i22i222−2222−220000000000000000000000000000000
χ534-4-4400-440004-400000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000
χ544-4-4400-440004-40000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000
χ554-4-4400-44000-4400000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000
χ564-4-4400-44000-440000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000
χ5788-8-88-800000000000000000000000000000000000000000000000000000
χ5888-8-8-8800000000000000000000000000000000000000000000000000000
χ598-88-800008-80000000000000000000000000000000000000000000000000

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