Finite Group Databasebeta

← Group #24784

Character table — Group #24784

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444228888888824444444444488882244
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-11-1
χ91111111111-1-1-1-111-1-11111-1-1-1-11-1111-1-111-1-1-111-1-11-1-11
χ101111111111-1-1-1-111-1-11111-1-1-1-11-11-1-111-1-111-111-1-1-111-1
χ111111111111-1-1-1-111-1-11111-1-1-1-1-11-111-1-111-1-11-1-111-111-1
χ121111111111-1-1-1-111-1-11111-1-1-1-1-11-1-1-111-1-1111-1-1111-1-11
χ131111111111-1-1-1-111-1-1-1-1-1-111111-1111-1-1-1-111-1-1-11111-1-1
χ141111111111-1-1-1-111-1-1-1-1-1-111111-11-1-11111-1-1-1-1-111-1-111
χ151111111111-1-1-1-111-1-1-1-1-1-11111-11-111-1-1-1-111111-1-1-1-111
χ161111111111-1-1-1-111-1-1-1-1-1-11111-11-1-1-11111-1-1111-1-111-1-1
χ1722222222-2-22222-2-2-2-2000000002-2-200000000200000000
χ1822222222-2-22222-2-2-2-200000000-22200000000-200000000
χ1922222222-2-2-2-2-2-2-2-2220000000022-200000000-200000000
χ2022222222-2-2-2-2-2-2-2-22200000000-2-2200000000200000000
χ21222-22-2-2-22-20000-2200000022-2-2000002i−2i2i−2i00000000000
χ22222-22-2-2-22-20000-2200000022-2-200000−2i2i−2i2i00000000000
χ23222-22-2-2-22-20000-22000000-2-222000002i−2i−2i2i00000000000
χ24222-22-2-2-22-20000-22000000-2-22200000−2i2i2i−2i00000000000
χ252-2-222-2-222222-2-2-2-22-2000000000000000000002i−2i2i−2i0000
χ262-2-222-2-222222-2-2-2-22-200000000000000000000−2i2i−2i2i0000
χ272-2-222-2-2222-2-222-2-2-22000000000000000000002i−2i−2i2i0000
χ282-2-222-2-2222-2-222-2-2-2200000000000000000000−2i2i2i−2i0000
χ292-2-222-2-22-2-222-2-222-2222-2-22-22-200000000000000000000
χ302-2-222-2-22-2-222-2-222-22-2-222-22-2200000000000000000000
χ312-2-222-2-22-2-2-2-222222-222-2-2-22-2200000000000000000000
χ322-2-222-2-22-2-2-2-222222-2-2-2222-22-200000000000000000000
χ332-2-2-2222-2-220000-220000002-2-220002-200002-2000000000
χ342-2-2-2222-2-220000-220000002-2-22000-220000-22000000000
χ352-2-2-2222-2-220000-22000000-222-20002-20000-22000000000
χ362-2-2-2222-2-220000-22000000-222-2000-2200002-2000000000
χ37444-44-4-4-4-4400004-4000000000000000000000000000000
χ3844-44-44-4-4004i−4i4i−4i00000000000000000000000000000000
χ3944-44-44-4-400−4i4i−4i4i00000000000000000000000000000000
χ4044-4-4-4-444000000000022−2222−22000000000000000000000000
χ4144-4-4-4-4440000000000−2222−2222000000000000000000000000
χ424-444-4-44-4004i−4i−4i4i00000000000000000000000000000000
χ434-444-4-44-400−4i4i4i−4i00000000000000000000000000000000
χ444-44-4-44-44000000000022−22−2222000000000000000000000000
χ454-44-4-44-440000000000−222222−22000000000000000000000000
χ464-4-4-4444-44-400004-4000000000000000000000000000000

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