Finite Group Databasebeta

← Group #502791

Character table — Group #502791

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442244444444444442244444444444888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111-1-1-1-111-1-11111111-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1
χ61111111111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1
χ81111111111111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-11111-1111111-1-1-1-1-111-1-11111-1-11-11-11-1-11-111-1-111-1-11-1
χ10111111-1-11111-1111111-1-1-1-1-111-1-11111-1-1-111-1-11-11-1-1-111-1-111-11
χ11111111-1-11111-1111111-1-1-1-1-1-1-11111-1-1111-1-111-1-1-11-1-111-1-1111-1
χ12111111-1-11111-1111111-1-1-1-1-1-1-11111-1-111-11-11-11-1-1111-1-111-1-1-11
χ13111111-1-11111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1111-1-111-111-111-1-1-1-111-11
χ14111111-1-11111-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-11-11-1111-1-1-11111-1-11-1
χ15111111-1-11111-1-1-1-1-11111-1-1-1-1-111-1-111-1-11-11-11-11-11-1-11111-1-1-11
χ16111111-1-11111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-111-1-111-1111-1-1-1-1111-1
χ17222222222-2-2222222-2-2222-2-20000-2-20000000000-2000000000000
χ18222222222-2-222-2-2-2-2-2-2-2-22-2-200002200000000002000000000000
χ1922222222-222-220000-2-200-22-222220000000000000-2-20000000000
χ2022222222-222-220000-2-200-22-2-2-2-2-20000000000000220000000000
χ2122222222-2-2-2-2200002200-2-22000000222200-2-2000000000000000
χ2222222222-2-2-2-2200002200-2-22000000-2-2-2-20022000000000000000
χ23222222-2-22-2-22-22222-2-2-2-2-2220000-2-200000000002000000000000
χ24222222-2-22-2-22-2-2-2-2-2-2-222-2220000220000000000-2000000000000
χ25222222-2-2-222-2-20000-2-2002-2222-2-20000000000000-220000000000
χ26222222-2-2-222-2-20000-2-2002-22-2-22200000000000002-20000000000
χ27222222-2-2-2-2-2-2-20000220022-200000022-2-200-22000000000000000
χ28222222-2-2-2-2-2-2-20000220022-2000000-2-222002-2000000000000000
χ292-2-222-20022-2-202i2i−2i−2i2-20000000002i−2i0000000000000002i−2i002-200
χ302-2-222-20022-2-202i2i−2i−2i2-20000000002i−2i000000000000000−2i2i00-2200
χ312-2-222-20022-2-20−2i−2i2i2i2-2000000000−2i2i0000000000000002i−2i00-2200
χ322-2-222-20022-2-20−2i−2i2i2i2-2000000000−2i2i000000000000000−2i2i002-200
χ332-2-222-2002-22-202i2i−2i−2i-22000000000−2i2i00000000000002i−2i002-20000
χ342-2-222-2002-22-202i2i−2i−2i-22000000000−2i2i0000000000000−2i2i00-220000
χ352-2-222-2002-22-20−2i−2i2i2i-220000000002i−2i00000000000002i−2i00-220000
χ362-2-222-2002-22-20−2i−2i2i2i-220000000002i−2i0000000000000−2i2i002-20000
χ374444-4-4440000-40000000000000000000002200-2-20000000000000
χ384444-4-4440000-4000000000000000000000-2-200220000000000000
χ394444-4-4-4-4000040000000000000000000002-200-220000000000000
χ404444-4-4-4-400004000000000000000000000-22002-20000000000000
χ4144-4-4004-4000002-22-2002-20002i−2i2i−2i002i−2i2i−2i0000000000000000000
χ4244-4-4004-4000002-22-2002-2000−2i2i−2i2i00−2i2i−2i2i0000000000000000000
χ4344-4-4004-400000-22-2200-220002i−2i2i−2i00−2i2i−2i2i0000000000000000000
χ4444-4-4004-400000-22-2200-22000−2i2i−2i2i002i−2i2i−2i0000000000000000000
χ4544-4-400-44000002-22-200-220002i−2i−2i2i002i−2i−2i2i0000000000000000000
χ4644-4-400-44000002-22-200-22000−2i2i2i−2i00−2i2i2i−2i0000000000000000000
χ4744-4-400-4400000-22-22002-20002i−2i−2i2i00−2i2i2i−2i0000000000000000000
χ4844-4-400-4400000-22-22002-2000−2i2i2i−2i002i−2i−2i2i0000000000000000000
χ494-4-444-400-44-4400000-440000000000000000000000000000000000
χ504-4-444-400-4-444000004-40000000000000000000000000000000000
χ518-88-80000000004i−4i−4i4i000000000000000000000000000000000000
χ528-88-8000000000−4i4i4i−4i000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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