Finite Group Databasebeta

← Group #23957

Character table — Group #23957

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222222244442444444222224444444444444888888
χ11111111111111111111111111111111111111111111
χ211111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111-1-111-1-111111-11-111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ71111111111111-1-111-1-1-1-1-1-11-11-111-1-1-1-111111111-1-1
χ81111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ91111-1-1111111-111-1-11111-1-11-1-1-11-111-1-111-1-111-1-11-1
χ101111-1-1111111-111-1-11111-1-1-1-11-1-11-1-111-1-11111-1-1-11
χ111111-1-1111111-111-1-111-1-1111-1-1-11-111-1-1-1-111-1-111-11
χ121111-1-1111111-111-1-111-1-111-1-11-1-11-1-11111-1-1-1-1111-1
χ131111-1-1111111-1-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-1111-1
χ141111-1-1111111-1-1-1-1-1-1-111-1-1-1111-1111-1-111-1-1-1-111-11
χ151111-1-1111111-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-11
χ161111-1-1111111-1-1-1-1-1-1-1-1-111-1111-1111-1-1-1-11111-1-11-1
χ1722222222-2-2-2-2200-2-20000000000002-22-20000000000
χ1822222222-2-2-2-2200-2-2000000000000-22-220000000000
χ19222222-2-22-2-22-2222-2-2-20000020-20000000000000000
χ20222222-2-22-2-22-2-2-22-22200000-2020000000000000000
χ21222222-2-2-222-2-200-220000002020-2-200000000000000
χ22222222-2-2-222-2-200-22000000-20-202200000000000000
χ232222-2-222-2-2-2-2-200220000000000002-2-220000000000
χ242222-2-222-2-2-2-2-20022000000000000-222-20000000000
χ252222-2-2-2-22-2-22222-22-2-200000-2020000000000000000
χ262222-2-2-2-22-2-222-2-2-22220000020-20000000000000000
χ272222-2-2-2-2-222-22002-200000020-20-2200000000000000
χ282222-2-2-2-2-222-22002-2000000-20202-200000000000000
χ292-22-2002-222-2-202i−2i002i−2i002-200000000000000002i−2i00
χ302-22-2002-222-2-202i−2i002i−2i00-220000000000000000−2i2i00
χ312-22-2002-222-2-20−2i2i00−2i2i002-20000000000000000−2i2i00
χ322-22-2002-222-2-20−2i2i00−2i2i00-2200000000000000002i−2i00
χ332-22-200-222-22-202i−2i00−2i2i2-200000000000000002i−2i0000
χ342-22-200-222-22-202i−2i00−2i2i-220000000000000000−2i2i0000
χ352-22-200-222-22-20−2i2i002i−2i2-20000000000000000−2i2i0000
χ362-22-200-222-22-20−2i2i002i−2i-2200000000000000002i−2i0000
χ3744-4-44-40000000000000000000000000002i−2i2i−2i000000
χ3844-4-44-4000000000000000000000000000−2i2i−2i2i000000
χ3944-4-4-440000000000000000000000000002i−2i−2i2i000000
χ4044-4-4-44000000000000000000000000000−2i2i2i−2i000000
χ414-44-4004-4-4-4440000000000000000000000000000000
χ424-44-400-44-44-440000000000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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