Finite Group Databasebeta

← Group #255313

Character table — Group #255313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422224444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-11-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-11111111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-11-1-1-1-1-11111-11111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-1111111-1-1-11-1-11-111-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-1111111-1-1-11-1-11-1-1-1-11-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-11111-1-1-111-11-1-1111-1-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-1111-1-11111-1-1-111-11-1-11-1-1-1-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-1-111-1-1-11-11-11111-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-111-1-1-11-11-11-1-11-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-111-1111-11111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-111-1111-1-1-111-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2000022222-2-20000000000000000000000
χ18222222222222-222-2-2-2-2-20000-2-22-2-2220000000000000000000000
χ19222222222222-2-2-2-2-2-222000022-2-2-2-220000000000000000000000
χ20222222222222-2-2-2-2-2-2220000-2-2-2222-20000000000000000000000
χ2122222222-2-2-2-2222-2-222-222-2-200-20000-2000020000000000000000
χ2222222222-2-2-2-2222-2-222-2-2-22200-2000020000-20000000000000000
χ2322222222-2-2-2-22-2-2-2-22-2222-2-2002000020000-20000000000000000
χ2422222222-2-2-2-22-2-2-2-22-22-2-2220020000-2000020000000000000000
χ2522222222-2-2-2-2-22222-2-22000000-2000002-2000-2200000000000000
χ2622222222-2-2-2-2-22222-2-22000000-200000-220002-200000000000000
χ2722222222-2-2-2-2-2-2-222-22-200000020000022000-2-200000000000000
χ2822222222-2-2-2-2-2-2-222-22-2000000200000-2-20002200000000000000
χ292-22-22-22-22-22-22002-2-2002-22-20000000000000002i−2i00000000002i−2i
χ302-22-22-22-22-22-22002-2-2002-22-2000000000000000−2i2i0000000000−2i2i
χ312-22-22-22-22-22-22002-2-200-22-220000000000000002i−2i0000000000−2i2i
χ322-22-22-22-22-22-22002-2-200-22-22000000000000000−2i2i00000000002i−2i
χ332-22-22-22-2-22-22200-22-2002-2-2200000000002i−2i00000000000002i−2i00
χ342-22-22-22-2-22-22200-22-2002-2-220000000000−2i2i0000000000000−2i2i00
χ352-22-22-22-2-22-22200-22-200-222-200000000002i−2i0000000000000−2i2i00
χ362-22-22-22-2-22-22200-22-200-222-20000000000−2i2i00000000000002i−2i00
χ374444-4-4-4-44-4-440000000000000000000000000000000000022−220000
χ384444-4-4-4-44-4-4400000000000000000000000000000000000−22220000
χ394444-4-4-4-4-444-400000000000000000000000000000000022−22000000
χ404444-4-4-4-4-444-4000000000000000000000000000000000−2222000000
χ4144-4-444-4-4000004i−4i000000000000000000000000002-22i−2i00000000
χ4244-4-444-4-4000004i−4i00000000000000000000000000-22−2i2i00000000
χ4344-4-444-4-400000−4i4i000000000000000000000000002-2−2i2i00000000
χ4444-4-444-4-400000−4i4i00000000000000000000000000-222i−2i00000000
χ454-44-44-44-44-44-4-400-44400000000000000000000000000000000000
χ464-44-44-44-4-44-44-4004-4400000000000000000000000000000000000
χ474-44-4-44-4444-4-40000000000004i−4i000000000000000000000000000
χ484-44-4-44-4444-4-4000000000000−4i4i000000000000000000000000000
χ494-44-4-44-44-4-4440000000000000004-4000000000000000000000000
χ504-44-4-44-44-4-444000000000000000-44000000000000000000000000
χ5188-8-8-8-888000000000000000000000000000000000000000000000
χ528-8-888-8-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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