Finite Group Databasebeta

← Group #25519

Character table — Group #25519

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222222244442444444224444444444448888888844
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-1-1-11-11-11-1-1-11-111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11-11-11-1-1-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-11-11-11-1-1-111111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-11-11-11-1-1-11-1-1-1-11111-1-1-1-111
χ91111-1-1111111-1-1-111111-1-111-1-1-1-1111-1-111-1-111-1-11-1
χ101111-1-1111111-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-111-11
χ111111-1-1111111-1-1-11111-111-1-11-1-11-111-1-1-1-111-1-1111-1
χ121111-1-1111111-1-1-11111-111-1-11-1-11-1-1-11111-1-111-1-1-11
χ131111-1-1111111-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-11
χ141111-1-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1
χ151111-1-1111111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-11
χ161111-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111-1
χ1722222222-2-2-2-22-2-222-2-20000002-20000000000000000
χ1822222222-2-2-2-22-2-2-2-222000000-220000000000000000
χ19222222-2-22-22-2-22-2000002020-2000-200000000000000
χ20222222-2-22-22-2-22-200000-20-202000200000000000000
χ21222222-2-2-22-22-2-2200002020-2000-2000000000000000
χ22222222-2-2-22-22-2-220000-20-2020002000000000000000
χ232222-2-222-2-2-2-2-22222-2-2000000-220000000000000000
χ242222-2-222-2-2-2-2-222-2-2220000002-20000000000000000
χ252222-2-2-2-22-22-22-220000020-20-2000200000000000000
χ262222-2-2-2-22-22-22-2200000-20202000-200000000000000
χ272222-2-2-2-2-22-2222-2000020-20-20002000000000000000
χ282222-2-2-2-2-22-2222-20000-20202000-2000000000000000
χ292-22-2002-22-2-220002i−2i2i−2i000000000000002i−2i002-20000
χ302-22-2002-22-2-220002i−2i2i−2i00000000000000−2i2i00-220000
χ312-22-2002-22-2-22000−2i2i−2i2i000000000000002i−2i00-220000
χ322-22-2002-22-2-22000−2i2i−2i2i00000000000000−2i2i002-20000
χ332-22-2002-2-222-20002i−2i−2i2i00000000000000002-2002i−2i00
χ342-22-2002-2-222-20002i−2i−2i2i0000000000000000-2200−2i2i00
χ352-22-2002-2-222-2000−2i2i2i−2i00000000000000002-200−2i2i00
χ362-22-2002-2-222-2000−2i2i2i−2i0000000000000000-22002i−2i00
χ3744-4-44-4000000000000000000000002-22-20000000000
χ3844-4-44-400000000000000000000000-22-220000000000
χ3944-4-4-44000000000000000000000002-2-220000000000
χ4044-4-4-4400000000000000000000000-222-20000000000
χ414-44-400-4444-4-40000000000000000000000000000000
χ424-44-400-44-4-4440000000000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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