Finite Group Databasebeta

← Group #335239

Character table — Group #335239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882244444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-11-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-111-11-1111-1-1-1-111-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11-1
χ511111111111111111111-1-11111111111111-1-11-11-1-11111-1-1-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-11111-111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-11-1-1-1-1-11111-1-11-11
χ9111111111111111111-1-111111111111111-111-11-1-1-1-1-1-1-11111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-111
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-1-1-1111-11
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1111111-1-111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-11-1
χ17222222222-2-222-2-22-2-22200000022-2-20000-20020-20000000000000
χ18222222222-2-222-2-22-2-222000000-2-2220000-200-2020000000000000
χ19222222222-2-222-2-22-2-2-2-200000022-2-20000200-2020000000000000
χ20222222222-2-222-2-22-2-2-2-2000000-2-222000020020-20000000000000
χ2122222222-222-2-222-2-2-2002222-2-2000000000-220-200000000000000
χ2222222222-222-2-222-2-2-20022-2-222000000000-2-20200000000000000
χ2322222222-222-2-222-2-2-200-2-222-2-20000000002-20200000000000000
χ2422222222-222-2-222-2-2-200-2-2-2-222000000000220-200000000000000
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
χ30444-44-4-4-404-4004-40000000000000002222−22−220000000000000000000
χ31444-44-4-4-404-4004-4000000000000000−22−2222220000000000000000000
χ32444-44-4-4-40-4400-440000000004-4000000000000000000000000000
χ33444-44-4-4-40-4400-44000000000-44000000000000000000000000000
χ3444-44-44-4-44004-400-40000000000000000000000000022−22000000000
χ3544-44-44-4-44004-400-400000000000000000000000000−2222000000000
χ3644-44-44-4-4-400-44004004i−4i000000000000000000000000000000000
χ3744-44-44-4-4-400-4400400−4i4i000000000000000000000000000000000
χ384-444-4-4-44000000000000002i2−2i2000022−222i−2i2i−2i0000000000000000000
χ394-444-4-4-44000000000000002i2−2i20000−2222−2i2i−2i2i0000000000000000000
χ404-444-4-4-4400000000000000−2i22i2000022−22−2i2i−2i2i0000000000000000000
χ414-444-4-4-4400000000000000−2i22i20000−22222i−2i2i−2i0000000000000000000
χ424-44-4-444-4400-4400-4000000000000002i2−2i2−2i22i20000000000000000000
χ434-44-4-444-4400-4400-400000000000000−2i22i22i2−2i20000000000000000000
χ444-44-4-444-4-4004-400400000000004-40000000000000000000000000
χ454-44-4-444-4-4004-40040000000000-440000000000000000000000000
χ464-4-444-44-404-400-44000004i−4i0000000000000000000000000000000
χ474-4-444-44-404-400-4400000−4i4i0000000000000000000000000000000
χ484-4-444-44-40-44004-400000000000000000000000000000002i2−2i200000
χ494-4-444-44-40-44004-40000000000000000000000000000000−2i22i200000
χ504-4-4-444-44444-4-4-4-44-4400000000000000000000000000000000000
χ514-4-4-444-444-4-4-4-44444-400000000000000000000000000000000000
χ524-4-4-444-44-4-4-44444-4-4400000000000000000000000000000000000
χ5388-8-8-8-888000000000000000000000000000000000000000000000

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