Finite Group Databasebeta

← Group #23751

Character table — Group #23751

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111222222222222228888888888888888888888888888
order1244222222244444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ111111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ121111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111111-1-1-1-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111111-1-1-1-11-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ17222222-2-22-2-22-222-2-2-2000000002i−2i2i−2i0000000000000000
χ18222222-2-22-2-22-222-2-2-200000000−2i2i−2i2i0000000000000000
χ1922222-22-2-22-2-222-22-2-200002i−2i2i−2i00000000000000000000
χ2022222-22-2-22-2-222-22-2-20000−2i2i−2i2i00000000000000000000
χ2122222-2-22-2-22-2-22-2-222000000000000000000002-22-20000
χ2222222-2-22-2-22-2-22-2-22200000000000000000000-22-220000
χ232222-222-2-2-22-2-2-222-22000000000000000000002-2-220000
χ242222-222-2-2-22-2-2-222-2200000000000000000000-222-20000
χ252222-22-22-22-2-22-22-22-200002i−2i−2i2i00000000000000000000
χ262222-22-22-22-2-22-22-22-20000−2i2i2i−2i00000000000000000000
χ272222-2-2222-2-22-2-2-222-2000000002i−2i−2i2i0000000000000000
χ282222-2-2222-2-22-2-2-222-200000000−2i2i2i−2i0000000000000000
χ2922-2-22222222-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ3022-2-22222222-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ3122-2-222-2-22-2-2-22-2-22220000000000002i−2i2i−2i000000000000
χ3222-2-222-2-22-2-2-22-2-2222000000000000−2i2i−2i2i000000000000
χ3322-2-22-22-2-22-22-2-22-22200000000000000002i−2i2i−2i00000000
χ3422-2-22-22-2-22-22-2-22-2220000000000000000−2i2i−2i2i00000000
χ3522-2-22-2-22-2-2222-222-2-22-22-2000000000000000000000000
χ3622-2-22-2-22-2-2222-222-2-2-22-22000000000000000000000000
χ3722-2-2-222-2-2-22222-2-22-22-2-22000000000000000000000000
χ3822-2-2-222-2-2-22222-2-22-2-222-2000000000000000000000000
χ3922-2-2-22-22-22-22-22-22-2200000000000000002i−2i−2i2i00000000
χ4022-2-2-22-22-22-22-22-22-220000000000000000−2i2i2i−2i00000000
χ4122-2-2-2-2222-2-2-2222-2-220000000000002i−2i−2i2i000000000000
χ4222-2-2-2-2222-2-2-2222-2-22000000000000−2i2i2i−2i000000000000
χ4322-2-2-2-2-2-2222-2-22222-20000000000000000000000002i−2i−2i2i
χ4422-2-2-2-2-2-2222-2-22222-2000000000000000000000000−2i2i2i−2i
χ458-88i−8i000000000000000000000000000000000000000000
χ468-8−8i8i000000000000000000000000000000000000000000

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