Finite Group Databasebeta

← Group #24592

Character table — Group #24592

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444444444444444448888888824
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ51111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ9111111111111-1-1-1-1111111-1-11-111-1-1-1-111-1-11111-1-1-1-11-1
χ10111111111111-1-1-1-1111111-1-11-111-1-1-1-1-1-111-1-1-1-11111-11
χ11111111111111-1-1-1-11111-1-111-11-1-111-1-111-1-1-1-111-1-111-11
χ12111111111111-1-1-1-11111-1-111-11-1-111-1-1-1-11111-1-111-1-11-1
χ13111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-111111-1
χ14111111111111-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1111111-1-1-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-111-1-111-1-1-11
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-111-1-1111-1
χ1722222222-2-2-2-222-2-2000022-2-2-2200000000000000000000
χ1822222222-2-2-2-222-2-20000-2-2222-200000000000000000000
χ1922222222-2-2-2-2-2-22200002222-2-200000000000000000000
χ2022222222-2-2-2-2-2-2220000-2-2-2-22200000000000000000000
χ2122-22-22-2-22-2-2200002i2i−2i−2i000000000000002i−2i00002-20000
χ2222-22-22-2-22-2-2200002i2i−2i−2i00000000000000−2i2i0000-220000
χ2322-22-22-2-22-2-220000−2i−2i2i2i000000000000002i−2i0000-220000
χ2422-22-22-2-22-2-220000−2i−2i2i2i00000000000000−2i2i00002-20000
χ252-222-2-22-2-22-2200002i−2i2i−2i0000000000002i−2i00002-2000000
χ262-222-2-22-2-22-2200002i−2i2i−2i000000000000−2i2i0000-22000000
χ272-222-2-22-2-22-220000−2i2i−2i2i0000000000002i−2i0000-22000000
χ282-222-2-22-2-22-220000−2i2i−2i2i000000000000−2i2i00002-2000000
χ292-2-222-2-2222-2-22-22-200000000002i−2i2i−2i0000000000000000
χ302-2-222-2-2222-2-22-22-20000000000−2i2i−2i2i0000000000000000
χ312-2-222-2-2222-2-2-22-2200000000002i−2i−2i2i0000000000000000
χ322-2-222-2-2222-2-2-22-220000000000−2i2i2i−2i0000000000000000
χ332-2-222-2-22-2-2222-2-222-2-2200000000002-200000000000000
χ342-2-222-2-22-2-2222-2-22-222-20000000000-2200000000000000
χ352-2-222-2-22-2-222-222-22-2-220000000000-2200000000000000
χ362-2-222-2-22-2-222-222-2-222-200000000002-200000000000000
χ37444-44-4-4-4000000000000000000000000000022−2200000000
χ38444-44-4-4-40000000000000000000000000000−222200000000
χ3944-44-44-4-4-444-40000000000000000000000000000000000
χ4044-4-4-4-444000000000000004-40000000000000000000000
χ4144-4-4-4-44400000000000000-440000000000000000000000
χ424-444-4-44-44-44-40000000000000000000000000000000000
χ434-44-4-44-440000000000004-4000000000000000000000000
χ444-44-4-44-44000000000000-44000000000000000000000000
χ454-4-4-4444-400000000000000000000000000000000002i2−2i200
χ464-4-4-4444-40000000000000000000000000000000000−2i22i200

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