Finite Group Databasebeta

← Group #334510

Character table — Group #334510

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882224444488888888244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-111-111-111-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ511111111111111111111-1-11111111111111-1-111-1-1-111-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-1-11-1-1-1-11111-1-1-111
χ9111111111111111111-1-111111111111111-111-1-11-1-1-1-111-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-1-1-111-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11-1-1
χ17222222222-2-22-2-222-2-22200000022-2-20000-2002-200000000000000
χ18222222222-2-22-2-222-2-222000000-2-2220000-200-2200000000000000
χ19222222222-2-22-2-222-2-2-2-200000022-2-20000200-2200000000000000
χ20222222222-2-22-2-222-2-2-2-2000000-2-22200002002-200000000000000
χ2122222222-222-222-2-2-2-2002222-2-2000000000-2200-20000000000000
χ2222222222-222-222-2-2-2-20022-2-222000000000-2-20020000000000000
χ2322222222-222-222-2-2-2-200-2-222-2-20000000002-20020000000000000
χ2422222222-222-222-2-2-2-200-2-2-2-2220000000002200-20000000000000
χ252-2-2-22-222-2-2-2222-22-2200000000000000000000002-200002-22-2000
χ262-2-2-22-222-2-2-2222-22-2200000000000000000000002-20000-22-22000
χ272-2-2-22-222-2-2-2222-22-220000000000000000000000-2200002-2-22000
χ282-2-2-22-222-2-2-2222-22-220000000000000000000000-220000-222-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-44-4400-400-44000000000000000000000000002i2−2i2000000000
χ31444-4-4-44-4400-400-4400000000000000000000000000−2i22i2000000000
χ32444-4-4-44-4-4004004-4004i−4i000000000000000000000000000000000
χ33444-4-4-44-4-4004004-400−4i4i000000000000000000000000000000000
χ3444-4-444-4-404-404-400000000000000002i22i2−2i2−2i20000000000000000000
χ3544-4-444-4-404-404-40000000000000000−2i2−2i22i22i20000000000000000000
χ3644-4-444-4-40-440-44000000004i−4i00000000000000000000000000000
χ3744-4-444-4-40-440-4400000000−4i4i00000000000000000000000000000
χ384-4444-4-4-404-40-440000000000000000000000000000002i2−2i20000000
χ394-4444-4-4-404-40-44000000000000000000000000000000−2i22i20000000
χ404-4444-4-4-40-4404-40000004i−4i0000000000000000000000000000000
χ414-4444-4-4-40-4404-4000000−4i4i0000000000000000000000000000000
χ424-44-4-44-44000000000000000022−2222−22002-22-20000000000000000000
χ434-44-4-44-44000000000000000022−22−222200-22-220000000000000000000
χ444-44-4-44-440000000000000000−222222−2200-22-220000000000000000000
χ454-44-4-44-440000000000000000−2222−2222002-22-20000000000000000000
χ464-4-44-444-4400400-4-4000000000000002i2−2i2−2i22i20000000000000000000
χ474-4-44-444-4400400-4-400000000000000−2i22i22i2−2i20000000000000000000
χ484-4-44-444-4-400-400440000000000004-400000000000000000000000
χ494-4-44-444-4-400-40044000000000000-4400000000000000000000000
χ504-4-4-44-444444-4-4-44-4-4400000000000000000000000000000000000
χ514-4-4-44-4444-4-4-4444-44-400000000000000000000000000000000000
χ524-4-4-44-444-4444-4-4-444-400000000000000000000000000000000000
χ5388-88-8-8-88000000000000000000000000000000000000000000000

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