Finite Group Databasebeta

← Group #502680

Character table — Group #502680

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444442224444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1
χ511111111111-1-1-1-11111111-1-111-1-1-1-111-1-11-1111-11-111111-1-1-1-1-1-1
χ611111111111-1-1-1-11111111-1-111-1-1-1-111-1-11-1-1-1-1-11-1-1-1-1-1-1111111
χ711111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-11111-1-111-1-1-1-11111-1-1
χ811111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-11-1-1-1-1-11-11111-1-1-1-111
χ9111111-1-111-111111111-1-1-11111-1-1-1-1-1-1111-11-11-1-11-111-1-111-1-11-1
χ10111111-1-111-111111111-1-1-11111-1-1-1-1-1-1111-1-11-1-1-111-1-111-1-111-11
χ11111111-1-111-111111111-1-1-111-1-111-1-111-1-1-111-11-11-1-1-1-111-1-1111-1
χ12111111-1-111-111111111-1-1-111-1-111-1-111-1-1-11-11-1-11-1111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1111-111-1-1-111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-11-11-1-11-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-11-1111111-1-1-1-1111-1
χ17222222222-220000-2-22-22-2-20000220000220-200000-200000000000
χ18222222222-220000-2-22-22-2-20000-2-20000-2-20200000200000000000
χ1922222222-2220000-2-2-22-22-2002200002200-200000-2000000000000
χ2022222222-2220000-2-2-22-22-200-2-20000-2-2002000002000000000000
χ2122222222-2-22222222-2-2-2-22-2-2000022000000000-20000000000000
χ2222222222-2-22-2-2-2-222-2-2-2-22220000-2-200000000020000000000000
χ23222222-2-22-2-20000-2-22-2-2220000220000-2-20-200000200000000000
χ24222222-2-22-2-20000-2-22-2-2220000-2-20000220200000-200000000000
χ25222222-2-2-22-20000-2-2-222-2200220000-2-200-2000002000000000000
χ26222222-2-2-22-20000-2-2-222-2200-2-200002200200000-2000000000000
χ27222222-2-2-2-2-2222222-2-222-2-2-20000-2-200000000020000000000000
χ28222222-2-2-2-2-2-2-2-2-222-2-222-222000022000000000-20000000000000
χ292-22-22-2002-202i2i−2i−2i2-2-220002i−2i00000000000000000002-2002i−2i0000
χ302-22-22-2002-202i2i−2i−2i2-2-220002i−2i0000000000000000000-2200−2i2i0000
χ312-22-22-2002-20−2i−2i2i2i2-2-22000−2i2i00000000000000000002-200−2i2i0000
χ322-22-22-2002-20−2i−2i2i2i2-2-22000−2i2i0000000000000000000-22002i−2i0000
χ332-22-22-200-2202i2i−2i−2i2-22-2000−2i2i0000000000000000000002i−2i002-200
χ342-22-22-200-2202i2i−2i−2i2-22-2000−2i2i000000000000000000000−2i2i00-2200
χ352-22-22-200-220−2i−2i2i2i2-22-20002i−2i0000000000000000000002i−2i00-2200
χ362-22-22-200-220−2i−2i2i2i2-22-20002i−2i000000000000000000000−2i2i002-200
χ374444-4-44400-400000000000000000000000002-2-200020000000000
χ384444-4-44400-40000000000000000000000000-222000-20000000000
χ394444-4-4-4-4004000000000000000000000000022-2000-20000000000
χ404444-4-4-4-40040000000000000000000000000-2-2200020000000000
χ4144-4-4004i−4i0002i−2i2i−2i0000000002i−2i2i−2i2-22-22-20000000000000000000
χ4244-4-4004i−4i0002i−2i2i−2i000000000−2i2i−2i2i2-2-22-220000000000000000000
χ4344-4-4004i−4i000−2i2i−2i2i0000000002i−2i−2i2i-222-2-220000000000000000000
χ4444-4-4004i−4i000−2i2i−2i2i000000000−2i2i2i−2i-22-222-20000000000000000000
χ4544-4-400−4i4i0002i−2i2i−2i0000000002i−2i−2i2i-22-222-20000000000000000000
χ4644-4-400−4i4i0002i−2i2i−2i000000000−2i2i2i−2i-222-2-220000000000000000000
χ4744-4-400−4i4i000−2i2i−2i2i0000000002i−2i2i−2i2-2-22-220000000000000000000
χ4844-4-400−4i4i000−2i2i−2i2i000000000−2i2i−2i2i2-22-22-20000000000000000000
χ494-44-44-4004400000-44-4-40000000000000000000000000000000000
χ504-44-44-400-4-400000-44440000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000004-4-4400000000000000000000000000000000000000
χ538-8-880000000-444-400000000000000000000000000000000000000

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