Finite Group Databasebeta

← Group #24541

Character table — Group #24541

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444444444444444448888888824
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ9111111111111-1-111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-11-1
χ10111111111111-1-111-1-1-1-11111-1-11-111-1-111-1-1-1-1-1-11111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-111111-1
χ12111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-11
χ13111111111111-1-1-1-111-1-1111111-11-1-111-1-1-1-1-1-111-1-111-11
χ14111111111111-1-1-1-111-1-11111-1-1-11-1-11111-1-111-1-111-1-11-1
χ15111111111111-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-11111-1-111-1-1-11
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1111-1
χ1722222222-2-2-2-2222222-2-2000000-2-2000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000022000000000000000000
χ1922222222-2-2-2-2-2-222-2-222000000-22000000000000000000
χ2022222222-2-2-2-2-2-2-2-222220000002-2000000000000000000
χ2122-2-22-2-222-22-20000000022-2-2000000002i−2i0000002i−2i0000
χ2222-2-22-2-222-22-20000000022-2-200000000−2i2i000000−2i2i0000
χ2322-2-22-2-222-22-200000000-2-222000000002i−2i000000−2i2i0000
χ2422-2-22-2-222-22-200000000-2-22200000000−2i2i0000002i−2i0000
χ252-22-2-22-22-222-2000000002-22-22i−2i0000000000002i−2i000000
χ262-22-2-22-22-222-2000000002-22-2−2i2i000000000000−2i2i000000
χ272-22-2-22-22-222-200000000-22-222i−2i000000000000−2i2i000000
χ282-22-2-22-22-222-200000000-22-22−2i2i0000000000002i−2i000000
χ292-2-22-2-22222-2-22-200002-2000000002i−2i2i−2i00000000000000
χ302-2-22-2-22222-2-22-200002-200000000−2i2i−2i2i00000000000000
χ312-2-22-2-22222-2-2-220000-22000000002i−2i−2i2i00000000000000
χ322-2-22-2-22222-2-2-220000-2200000000−2i2i2i−2i00000000000000
χ332-2-22-2-222-2-2222-20000-222-2-2200000000002-20000000000
χ342-2-22-2-222-2-2222-20000-22-222-20000000000-220000000000
χ352-2-22-2-222-2-222-2200002-22-2-220000000000-220000000000
χ362-2-22-2-222-2-222-2200002-2-222-200000000002-20000000000
χ374444-4-4-4-40000004-4000000000000000000000000000000
χ384444-4-4-4-4000000-44000000000000000000000000000000
χ3944-4-44-4-44-44-440000000000000000000000000000000000
χ4044-4-4-444-400000000000000000000000000000000002i2−2i200
χ4144-4-4-444-40000000000000000000000000000000000−2i22i200
χ424-44-44-44-400000000000000000000000000002i2−2i200000000
χ434-44-44-44-40000000000000000000000000000−2i22i200000000
χ444-44-4-44-444-4-440000000000000000000000000000000000
χ454-4-4444-4-4000000004i−4i0000000000000000000000000000
χ464-4-4444-4-400000000−4i4i0000000000000000000000000000

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