Finite Group Databasebeta

← Group #24311

Character table — Group #24311

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222244442244444444444444444444444488888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-111-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-111-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-1-1-1-11111-111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-111-1-1-1-111
χ1722222222-2-2-2-222-2-222-2-20000-2000020000000000000000
χ1822222222-2-2-2-222-2-2-2-222000020000-20000000000000000
χ1922222222-2-2-2-2-2-22222-2-2000020000-20000000000000000
χ2022222222-2-2-2-2-2-222-2-2220000-2000020000000000000000
χ2122-22-22-2-222-2-22-22-200002-20002-20000000000000000000
χ2222-22-22-2-222-2-22-22-20000-22000-220000000000000000000
χ2322-22-22-2-222-2-2-22-2200002-2000-220000000000000000000
χ2422-22-22-2-222-2-2-22-220000-220002-20000000000000000000
χ2522-22-22-2-2-2-2222-2-220000002i−2i0000002i−2i00000000000000
χ2622-22-22-2-2-2-2222-2-22000000−2i2i000000−2i2i00000000000000
χ2722-22-22-2-2-2-222-222-20000002i−2i000000−2i2i00000000000000
χ2822-22-22-2-2-2-222-222-2000000−2i2i0000002i−2i00000000000000
χ292-2-2-2-22222-22-200002-22-20000000000002-2002-200000000
χ302-2-2-2-22222-22-200002-22-2000000000000-2200-2200000000
χ312-2-2-2-22222-22-20000-22-220000000000002-200-2200000000
χ322-2-2-2-22222-22-20000-22-22000000000000-22002-200000000
χ332-2-2-2-2222-22-2200002-2-2200000002-2000002-20000000000
χ342-2-2-2-2222-22-2200002-2-220000000-2200000-220000000000
χ352-2-2-2-2222-22-220000-222-200000002-200000-220000000000
χ362-2-2-2-2222-22-220000-222-20000000-22000002-20000000000
χ37444-4-4-4-440000000000000000000000000000000000002i2−2i2
χ38444-4-4-4-44000000000000000000000000000000000000−2i22i2
χ3944-4-44-44-4000000000000000000000000000000000022−2200
χ4044-4-44-44-40000000000000000000000000000000000−222200
χ414-444-4-44-400000000000000000000000000000022−22000000
χ424-444-4-44-4000000000000000000000000000000−2222000000
χ434-44-444-4-44-4-440000000000000000000000000000000000
χ444-44-444-4-4-444-40000000000000000000000000000000000
χ454-4-444-4-440000000000000000000000000000000022−220000
χ464-4-444-4-4400000000000000000000000000000000−22220000

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