Finite Group Databasebeta

← Group #335253

Character table — Group #335253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-111-111-1-1-1-111-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-1-111-111-1-111-1-111-1-11
χ511111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-11111-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111-1-111-1
χ9111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-11111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-1-1-11111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-111-1-1-1-11
χ1722222222222-2-2-2-22-2-2220022-2-2000000002-20-2000000000000000
χ1822222222222-2-2-2-22-2-22200-2-22200000000-220-2000000000000000
χ1922222222222-2-2-2-22-2-2-2-20022-2-200000000-2202000000000000000
χ2022222222222-2-2-2-22-2-2-2-200-2-222000000002-202000000000000000
χ2122222222-2-2-22222-2-2-20022000022-2-200000020-2-20000000000000
χ2222222222-2-2-22222-2-2-200220000-2-222000000-20-220000000000000
χ2322222222-2-2-22222-2-2-200-2-2000022-2-2000000-20220000000000000
χ2422222222-2-2-22222-2-2-200-2-20000-2-222000000202-20000000000000
χ252-2-2-222-22-22222-2-2-22-200000000000000000000002-2002i−2i002i−2i000
χ262-2-2-222-22-22222-2-2-22-200000000000000000000002-200−2i2i00−2i2i000
χ272-2-2-222-22-22222-2-2-22-20000000000000000000000-22002i−2i00−2i2i000
χ282-2-2-222-22-22222-2-2-22-20000000000000000000000-2200−2i2i002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-44-4-4-444-40000-4000000000000002222−22−220000000000000000000
χ31444-44-4-4-444-40000-400000000000000−22−2222220000000000000000000
χ32444-44-4-4-4-4-4400004000000004i−4i000000000000000000000000000
χ33444-44-4-4-4-4-440000400000000−4i4i000000000000000000000000000
χ3444-44-4-4-44000000000000002i2−2i20022−22002i−2i2i−2i0000000000000000000
χ3544-44-4-4-44000000000000002i2−2i200−222200−2i2i−2i2i0000000000000000000
χ3644-44-4-4-4400000000000000−2i22i20022−2200−2i2i−2i2i0000000000000000000
χ3744-44-4-4-4400000000000000−2i22i200−2222002i−2i2i−2i0000000000000000000
χ3844-4-4-444-40004-44-400000000000004i−4i00000000000000000000000
χ3944-4-4-444-40004-44-40000000000000−4i4i00000000000000000000000
χ4044-4-4-444-4000-44-440000000000000002i2−2i2−2i22i20000000000000000000
χ4144-4-4-444-4000-44-44000000000000000−2i22i22i2−2i20000000000000000000
χ424-444-44-4-40004-4-4400000000000000000000000000000002i2−2i200000
χ434-444-44-4-40004-4-440000000000000000000000000000000−2i22i200000
χ444-444-44-4-4000-444-4000004i−4i0000000000000000000000000000000
χ454-444-44-4-4000-444-400000−4i4i0000000000000000000000000000000
χ464-4-444-44-44-440000-4000000000000000000000000002i2−2i2000000000
χ474-4-444-44-44-440000-400000000000000000000000000−2i22i2000000000
χ484-4-444-44-4-44-400004004-4000000000000000000000000000000000
χ494-4-444-44-4-44-40000400-44000000000000000000000000000000000
χ504-4-4-444-444-4-444-4-44-4400000000000000000000000000000000000
χ514-4-4-444-444-4-4-4-44444-400000000000000000000000000000000000
χ524-4-4-444-44-444-4-444-4-4400000000000000000000000000000000000
χ538-88-8-8-888000000000000000000000000000000000000000000000

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