Finite Group Databasebeta

← Group #26812

Character table — Group #26812

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444442224444444448888888824
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-11111-1-1-11111-1-1-11111-1-111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-111-1-111-11111-1-111-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-111-1-111
χ9111111111111-1-1-1-111-1-111111-1-1-1-111-111-1-111-1-1-1-111-11
χ10111111111111-1-1-1-111-1-111111-1-1-1-1-1-1-11111-1-11111-1-11-1
χ11111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-11
χ12111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1111-1
χ13111111111111-1-1-1-1-1-1111111-111-1-1111-1-1-1-11111-1-1-1-11-1
χ14111111111111-1-1-1-1-1-1111111-111-1-1-1-11-1-111-1-1-1-11111-11
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-1-1-1-1-111111-1
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-11
χ1722222222-2-2-2-222-2-222220000-2000000-200000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200002000000200000000000000
χ1922222222-2-2-2-2-2-22222-2-20000-2000000200000000000000
χ2022222222-2-2-2-2-2-222-2-22200002000000-200000000000000
χ212222-2-2-2-2-22-22000000002i2i−2i−2i000002i−2i000002-200000000
χ222222-2-2-2-2-22-22000000002i2i−2i−2i00000−2i2i00000-2200000000
χ232222-2-2-2-2-22-2200000000−2i−2i2i2i000002i−2i00000-2200000000
χ242222-2-2-2-2-22-2200000000−2i−2i2i2i00000−2i2i000002-200000000
χ252-2-2222-2-22-2-222i−2i2i−2i00002i−2i2i−2i0002-200000000000000000
χ262-2-2222-2-22-2-222i−2i2i−2i0000−2i2i−2i2i000-2200000000000000000
χ272-2-2222-2-22-2-22−2i2i−2i2i00002i−2i2i−2i000-2200000000000000000
χ282-2-2222-2-22-2-22−2i2i−2i2i0000−2i2i−2i2i0002-200000000000000000
χ292-2-2222-2-2-222-22i−2i−2i2i0000000002-2000002i−2i000000000000
χ302-2-2222-2-2-222-22i−2i−2i2i000000000-2200000−2i2i000000000000
χ312-2-2222-2-2-222-2−2i2i2i−2i0000000002-200000−2i2i000000000000
χ322-2-2222-2-2-222-2−2i2i2i−2i000000000-22000002i−2i000000000000
χ332-2-22-2-222-2-222000000002-2-2200000000002-200002-20000
χ342-2-22-2-222-2-222000000002-2-220000000000-220000-220000
χ352-2-22-2-222-2-22200000000-222-200000000002-20000-220000
χ362-2-22-2-222-2-22200000000-222-20000000000-2200002-20000
χ374444-4-4-4-44-44-40000000000000000000000000000000000
χ3844-4-44-44-4000000004i−4i0000000000000000000000000000
χ3944-4-44-44-400000000−4i4i0000000000000000000000000000
χ4044-4-4-44-44000000000000000000000000000000000022−2200
χ4144-4-4-44-440000000000000000000000000000000000−222200
χ424-44-44-4-4400000000004-400000000000000000000000000
χ434-44-44-4-440000000000-4400000000000000000000000000
χ444-44-4-444-40000000000000000000000000000002i2−2i2000000
χ454-44-4-444-4000000000000000000000000000000−2i22i2000000
χ464-4-44-4-44444-4-40000000000000000000000000000000000

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