Finite Group Databasebeta

← Group #24366

Character table — Group #24366

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442222224444442222444444448888888824
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-1111-111-1-1-1-11111-1-1-1-1-11
χ61111111111111111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111111-1
χ71111111111111111-1-1-1-111-1-1-1-111-11-1-111-1-1-1-111-1-1111-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1111111-1-111-1-1-11
χ9111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ11111111111111-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1
χ12111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ13111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-11
χ14111111111111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-111111111-1-1-1-11-1
χ15111111111111-1-1-1-1-1-1-1-111-1-11111-1111-1-1-1-111-1-111-1-11-1
χ16111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-111-1-111-1-111-11
χ1722222222-2-2-2-20000222222-2-20000-2-20000000000000000
χ1822222222-2-2-2-2000022-2-2-2-2-2-20000220000000000000000
χ1922222222-2-2-2-20000-2-222-2-2220000-220000000000000000
χ2022222222-2-2-2-20000-2-2-2-2222200002-20000000000000000
χ2122-2-22-2-2222-2-200002-200002-20000002i−2i2i−2i000000000000
χ2222-2-22-2-2222-2-200002-200002-2000000−2i2i−2i2i000000000000
χ2322-2-22-2-2222-2-20000-220000-220000002i−2i−2i2i000000000000
χ2422-2-22-2-2222-2-20000-220000-22000000−2i2i2i−2i000000000000
χ2522-2-22-2-22-2-22222-2-22-20000-222-200000000000000000000
χ2622-2-22-2-22-2-22222-2-2-2200002-2-2200000000000000000000
χ2722-2-22-2-22-2-222-2-2222-20000-22-2200000000000000000000
χ2822-2-22-2-22-2-222-2-222-2200002-22-200000000000000000000
χ292-22-2-22-222-2-222-22-20000000000000000002-200002-20000
χ302-22-2-22-222-2-222-22-2000000000000000000-220000-220000
χ312-22-2-22-222-2-22-22-220000000000000000002-20000-220000
χ322-22-2-22-222-2-22-22-22000000000000000000-2200002-20000
χ332-2-22-2-222-22-222-2-2200000000002-200000000002-2000000
χ342-2-22-2-222-22-222-2-220000000000-220000000000-22000000
χ352-2-22-2-222-22-22-222-200000000002-20000000000-22000000
χ362-2-22-2-222-22-22-222-20000000000-2200000000002-2000000
χ374444-4-4-4-400000000004i−4i00000000000000000000000000
χ384444-4-4-4-40000000000−4i4i00000000000000000000000000
χ3944-4-4-444-40000000000004-4000000000000000000000000
χ4044-4-4-444-4000000000000-44000000000000000000000000
χ414-44-44-44-4000000000000000000000000000000000022−2200
χ424-44-44-44-40000000000000000000000000000000000−222200
χ434-44-4-44-44-444-40000000000000000000000000000000000
χ444-4-4444-4-4000000000000000000000000000022−2200000000
χ454-4-4444-4-40000000000000000000000000000−222200000000
χ464-4-44-4-4444-44-40000000000000000000000000000000000

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