Finite Group Databasebeta

← Group #335261

Character table — Group #335261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888882444444488888888244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-111-11-1
χ511111111111111111111-1-1111111111111-111-1-11-1-1-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111-1
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1111-11
χ9111111111111111111-1-1111111111111111-1-111-1-1-11111-1-1-1-1-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1111111-1
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-111-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-11
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-1111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-11111-1-111-1-1-11-1
χ1722222222222-2-2-2-22-2-20022000022-2-20000-2002-200000000000000
χ1822222222222-2-2-2-22-2-200220000-2-2220000-200-2200000000000000
χ1922222222222-2-2-2-22-2-200-2-2000022-2-20000200-2200000000000000
χ2022222222222-2-2-2-22-2-200-2-20000-2-22200002002-200000000000000
χ2122222222-2-2-22222-2-2-2220022-2-20000000002-200-20000000000000
χ2222222222-2-2-22222-2-2-22200-2-222000000000-2200-20000000000000
χ2322222222-2-2-22222-2-2-2-2-20022-2-2000000000-220020000000000000
χ2422222222-2-2-22222-2-2-2-2-200-2-2220000000002-20020000000000000
χ252-22-2-2-222-22222-2-2-22-200000000000000000000002-2002i−2i002i−2i000
χ262-22-2-2-222-22222-2-2-22-200000000000000000000002-200−2i2i00−2i2i000
χ272-22-2-2-222-22222-2-2-22-20000000000000000000000-22002i−2i00−2i2i000
χ282-22-2-2-222-22222-2-2-22-20000000000000000000000-2200−2i2i002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ3044-44-4-44-40004-44-40000000004i−4i000000000000000000000000000
χ3144-44-4-44-40004-44-4000000000−4i4i000000000000000000000000000
χ3244-44-4-44-4000-44-440000000000000002i22i2−2i2−2i20000000000000000000
χ3344-44-4-44-4000-44-44000000000000000−2i2−2i22i22i20000000000000000000
χ3444-4-4-44-4444-40000-400004i−4i0000000000000000000000000000000
χ3544-4-4-44-4444-40000-40000−4i4i0000000000000000000000000000000
χ3644-4-4-44-44-4-44000040000000000000000000000000022−22000000000
χ3744-4-4-44-44-4-440000400000000000000000000000000−2222000000000
χ384-444-44-4-40000000000000022−2200002i2−2i22i−2i2i−2i0000000000000000000
χ394-444-44-4-40000000000000022−220000−2i22i2−2i2i−2i2i0000000000000000000
χ404-444-44-4-400000000000000−222200002i2−2i2−2i2i−2i2i0000000000000000000
χ414-444-44-4-400000000000000−22220000−2i22i22i−2i2i−2i0000000000000000000
χ424-44-4-4-4444-4-444-4-44-4400000000000000000000000000000000000
χ434-44-4-4-4444-4-4-4-44444-400000000000000000000000000000000000
χ444-44-4-4-444-444-4-444-4-4400000000000000000000000000000000000
χ454-4-444-4-444-440000-400000000004i−4i0000000000000000000000000
χ464-4-444-4-444-440000-40000000000−4i4i0000000000000000000000000
χ474-4-444-4-44-44-4000040000000000000022−22−22220000000000000000000
χ484-4-444-4-44-44-40000400000000000000−222222−220000000000000000000
χ494-4-4-4444-40004-4-44000000000000000000000000000000022−2200000
χ504-4-4-4444-40004-4-440000000000000000000000000000000−222200000
χ514-4-4-4444-4000-444-40004-4000000000000000000000000000000000
χ524-4-4-4444-4000-444-4000-44000000000000000000000000000000000
χ53888-88-8-8-8000000000000000000000000000000000000000000000

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