Finite Group Databasebeta

← Group #28566

Character table — Group #28566

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444228888888824444444444488882444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1
χ91111111111-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-1-1111-1-11-1-11
χ101111111111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1111-1-1-111-1
χ111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-1-111-111-1
χ121111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1111-1-11
χ131111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-11-1-1111-11-1
χ141111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1-1-11-1-111-11-11
χ151111111111-1-1-1-111-1-1-1-1-1-11111-111-1-1-1-11111-111-1-1-11-11
χ161111111111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-111-111-1-11-11-1
χ1722222222-2-22222-2-2-2-2000000002000000002-2-200000000
χ1822222222-2-22222-2-2-2-200000000-200000000-22200000000
χ1922222222-2-2-2-2-2-2-2-22200000000200000000-22-200000000
χ2022222222-2-2-2-2-2-2-2-22200000000-2000000002-2200000000
χ21222-2-2-2-222-200002-20000002i2i−2i−2i0002i−2i2-20000000000000
χ22222-2-2-2-222-200002-20000002i2i−2i−2i000−2i2i-220000000000000
χ23222-2-2-2-222-200002-2000000−2i−2i2i2i0002i−2i-220000000000000
χ24222-2-2-2-222-200002-2000000−2i−2i2i2i000−2i2i2-20000000000000
χ252-2-222-2-22-2200002-20000002i−2i2i−2i02-200002i−2i00000000000
χ262-2-222-2-22-2200002-20000002i−2i2i−2i0-220000−2i2i00000000000
χ272-2-222-2-22-2200002-2000000−2i2i−2i2i02-20000−2i2i00000000000
χ282-2-222-2-22-2200002-2000000−2i2i−2i2i0-2200002i−2i00000000000
χ292-2-2-2-22222222-2-2-2-22-2000000000000000000002i−2i2i−2i0000
χ302-2-2-2-22222222-2-2-2-22-200000000000000000000−2i2i−2i2i0000
χ312-2-2-2-222222-2-222-2-2-22000000000000000000002i−2i−2i2i0000
χ322-2-2-2-222222-2-222-2-2-2200000000000000000000−2i2i2i−2i0000
χ332-2-2-2-2222-2-222-2-222-2222-2-22-2-2200000000000000000000
χ342-2-2-2-2222-2-222-2-222-22-2-222-222-200000000000000000000
χ352-2-2-2-2222-2-2-2-222222-222-2-2-222-200000000000000000000
χ362-2-2-2-2222-2-2-2-222222-2-2-2222-2-2200000000000000000000
χ37444-4-4-4-44-440000-44000000000000000000000000000000
χ3844-44-44-4-400000000002i2−2i22i2−2i2000000000000000000000000
χ3944-44-44-4-40000000000−2i22i2−2i22i2000000000000000000000000
χ4044-4-44-44-4004i−4i4i−4i00000000000000000000000000000000
χ4144-4-44-44-400−4i4i−4i4i00000000000000000000000000000000
χ424-444-4-44-4004i−4i−4i4i00000000000000000000000000000000
χ434-444-4-44-400−4i4i4i−4i00000000000000000000000000000000
χ444-44-444-4-400000000002i2−2i2−2i22i2000000000000000000000000
χ454-44-444-4-40000000000−2i22i22i2−2i2000000000000000000000000
χ464-4-444-4-444-40000-44000000000000000000000000000000

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