Finite Group Databasebeta

← Group #307852

Character table — Group #307852

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-111-1-1111-1-1-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-1-111-11
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111-111-1-1-1-1111-1
χ711111111111111111111-1-111-1-1111111111111-11-1-1-1-1-11-1-1-1-11111-1-1
χ811111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ9111111111111111111-1-111-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1
χ10111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111
χ11111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-111-1-11111-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-11111111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-1111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-111-1-1
χ17222222222-2-222-2-22-2-20022002222-2-200000000-20-2000000000000000
χ18222222222-2-222-2-22-2-2002200-2-2-2-22200000000-202000000000000000
χ19222222222-2-222-2-22-2-200-2-20022-2-2220000000020-2000000000000000
χ20222222222-2-222-2-22-2-200-2-200-2-222-2-200000000202000000000000000
χ2122222222-222-2-222-2-2-22200-2-200000022-2-200000200000-20000000000
χ2222222222-222-2-222-2-2-22200-2-2000000-2-22200000-20000020000000000
χ2322222222-222-2-222-2-2-2-2-2002200000022-2-200000-20000020000000000
χ2422222222-222-2-222-2-2-2-2-20022000000-2-22200000200000-20000000000
χ252-2-222-2-22222-2-2-2-222-22i−2i002i−2i00000000002i2i−2i−2i000000000000002-200
χ262-2-222-2-22222-2-2-2-222-22i−2i002i−2i0000000000−2i−2i2i2i00000000000000-2200
χ272-2-222-2-22222-2-2-2-222-2−2i2i00−2i2i00000000002i2i−2i−2i00000000000000-2200
χ282-2-222-2-22222-2-2-2-222-2−2i2i00−2i2i0000000000−2i−2i2i2i000000000000002-200
χ292-2-222-2-22-22222-2-2-2-222i−2i00−2i2i002-22-2000000000000000000002i−2i0000
χ302-2-222-2-22-22222-2-2-2-222i−2i00−2i2i00-22-2200000000000000000000−2i2i0000
χ312-2-222-2-22-22222-2-2-2-22−2i2i002i−2i002-22-200000000000000000000−2i2i0000
χ322-2-222-2-22-22222-2-2-2-22−2i2i002i−2i00-22-22000000000000000000002i−2i0000
χ332-2-222-2-22-2-2-22222-22-2000000002-2-22000000000002i−2i2i−2i00000000000
χ342-2-222-2-22-2-2-22222-22-2000000002-2-2200000000000−2i2i−2i2i00000000000
χ352-2-222-2-22-2-2-22222-22-200000000-222-2000000000002i−2i−2i2i00000000000
χ362-2-222-2-22-2-2-22222-22-200000000-222-200000000000−2i2i2i−2i00000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-404-4004-4000000000000000000022−2222−22000000000000000000
χ394444-4-4-4-404-4004-40000000000000000000−2222−2222000000000000000000
χ404444-4-4-4-40-4400-440000000000000004-4000000000000000000000000
χ414444-4-4-4-40-4400-44000000000000000-44000000000000000000000000
χ4244-4-4-44-444004-400-400004i−4i0000000000000000000000000000000000
χ4344-4-4-44-444004-400-40000−4i4i0000000000000000000000000000000000
χ4444-4-4-44-44-400-4400400000000000000000000000000000022−2200000000
χ4544-4-4-44-44-400-44004000000000000000000000000000000−222200000000
χ464-44-4-4-444400-4400-4000000000000000000000000000000002i2−2i2000000
χ474-44-4-4-444400-4400-400000000000000000000000000000000−2i22i2000000
χ484-44-4-4-444-4004-4004000000004-4000000000000000000000000000000
χ494-44-4-4-444-4004-400400000000-44000000000000000000000000000000
χ504-4-444-4-444-4-4-4-4444-4400000000000000000000000000000000000000
χ514-4-44-444-404-400-4400000000000000000002i2−2i2−2i22i2000000000000000000
χ524-4-44-444-404-400-440000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4-44-444-40-44004-4000000000000000004i−4i0000000000000000000000
χ544-4-44-444-40-44004-400000000000000000−4i4i0000000000000000000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-88-888-8-8000000000000000000000000000000000000000000000000

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