Finite Group Databasebeta

← Group #24173

Character table — Group #24173

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444444444444222444444444444444888888
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111-1-111-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111-1-111-1-1-111-111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ81111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ9111111-1-11111-111-1-111-11-1-11-11111-1-1-1-111-1-111-1-11-1
χ10111111-1-11111-111-1-111-11-1-11-1-1-111-1-111-1-111-1-111-11
χ11111111-1-11111-111-1-111-1-11-1-1111-1-111-1-1-1-11111-1-1-11
χ12111111-1-11111-111-1-111-1-11-1-11-1-1-1-1111111-1-1-1-1111-1
χ13111111-1-11111-1-1-1-1-1-1-111-111-111-1-111-1-1-1-111-1-1111-1
χ14111111-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1111111-1-111-1-1-11
χ15111111-1-11111-1-1-1-1-1-1-11-111-111111-1-1-1-111-1-1-1-111-11
χ16111111-1-11111-1-1-1-1-1-1-11-111-11-1-111-1-111-1-11111-1-11-1
χ1722222222-2-2-2-2200-2-200000000002-22-2000000000000
χ1822222222-2-2-2-2200-2-20000000000-22-22000000000000
χ19222222-2-2-2-2-2-2-2002200000000002-2-22000000000000
χ20222222-2-2-2-2-2-2-200220000000000-222-2000000000000
χ212222-2-2222-2-22-2002-2000220-2-2000000000000000000
χ222222-2-2222-2-22-2002-2000-2-2022000000000000000000
χ232222-2-222-222-2-222-22-2-2200-200000000000000000000
χ242222-2-222-222-2-2-2-2-2222-200200000000000000000000
χ252222-2-2-2-22-2-22200-220002-20-22000000000000000000
χ262222-2-2-2-22-2-22200-22000-2202-2000000000000000000
χ272222-2-2-2-2-222-22222-2-2-2-200200000000000000000000
χ282222-2-2-2-2-222-22-2-22-222200-200000000000000000000
χ292-22-22-200-22-2202i−2i002i−2i0000002-200000000002i−2i0000
χ302-22-22-200-22-2202i−2i002i−2i000000-220000000000−2i2i0000
χ312-22-22-200-22-220−2i2i00−2i2i0000002-20000000000−2i2i0000
χ322-22-22-200-22-220−2i2i00−2i2i000000-2200000000002i−2i0000
χ332-22-2-220022-2-202i−2i00−2i2i0000000000002i−2i0000002-200
χ342-22-2-220022-2-202i−2i00−2i2i000000000000−2i2i000000-2200
χ352-22-2-220022-2-20−2i2i002i−2i0000000000002i−2i000000-2200
χ362-22-2-220022-2-20−2i2i002i−2i000000000000−2i2i0000002-200
χ3744-4-4004-400000000000000000000000002-22-2000000
χ3844-4-4004-40000000000000000000000000-22-22000000
χ3944-4-400-4400000000000000000000000002-2-22000000
χ4044-4-400-440000000000000000000000000-222-2000000
χ414-44-44-4004-44-40000000000000000000000000000000
χ424-44-4-4400-4-4440000000000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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