Finite Group Databasebeta

← Group #25515

Character table — Group #25515

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222222244442444444224444444444448888888844
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-1-1-11-11-1-1-111-1-111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-1-1-111
χ91111-1-1111111-1-1-111111-1-11-1-11-11-111-1-111-1-111-1-11-1
χ101111-1-1111111-1-1-111111-1-11-1-11-11-1-1-111-1-111-1-111-11
χ111111-1-1111111-1-1-11111-111-1-1-1-11-1111-1-1-1-111-1-1111-1
χ121111-1-1111111-1-1-11111-111-1-1-1-11-11-1-11111-1-111-1-1-11
χ131111-1-1111111-1-1-1-1-1-1-111-1-1111-1-1111-1-111-1-1-1-111-11
χ141111-1-1111111-1-1-1-1-1-1-111-1-1111-1-11-1-111-1-11111-1-11-1
χ151111-1-1111111-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-1-11
χ161111-1-1111111-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1111-1
χ1722222222-2-2-2-22-2-222-2-200002-2000000000000000000
χ1822222222-2-2-2-22-2-2-2-2220000-22000000000000000000
χ19222222-2-22-22-2-22-20000020-200002-200000000000000
χ20222222-2-22-22-2-22-200000-2020000-2200000000000000
χ21222222-2-2-22-22-2-22000020-2000-220000000000000000
χ22222222-2-2-22-22-2-220000-2020002-20000000000000000
χ232222-2-222-2-2-2-2-22222-2-20000-22000000000000000000
χ242222-2-222-2-2-2-2-222-2-22200002-2000000000000000000
χ252222-2-2-2-22-22-22-22000002020000-2-200000000000000
χ262222-2-2-2-22-22-22-2200000-20-200002200000000000000
χ272222-2-2-2-2-22-2222-20000202000-2-20000000000000000
χ282222-2-2-2-2-22-2222-20000-20-2000220000000000000000
χ292-22-2002-22-2-220002i−2i2i−2i00000000000000002i−2i002-200
χ302-22-2002-22-2-220002i−2i2i−2i0000000000000000−2i2i00-2200
χ312-22-2002-22-2-22000−2i2i−2i2i00000000000000002i−2i00-2200
χ322-22-2002-22-2-22000−2i2i−2i2i0000000000000000−2i2i002-200
χ332-22-2002-2-222-20002i−2i−2i2i000000000000002-2002i−2i0000
χ342-22-2002-2-222-20002i−2i−2i2i00000000000000-2200−2i2i0000
χ352-22-2002-2-222-2000−2i2i2i−2i000000000000002-200−2i2i0000
χ362-22-2002-2-222-2000−2i2i2i−2i00000000000000-22002i−2i0000
χ374-44-400-4444-4-40000000000000000000000000000000
χ384-44-400-44-4-4440000000000000000000000000000000
χ394-4-444-4000000000000000000000002i−2i2i−2i0000000000
χ404-4-444-400000000000000000000000−2i2i−2i2i0000000000
χ414-4-44-44000000000000000000000002i−2i−2i2i0000000000
χ424-4-44-4400000000000000000000000−2i2i2i−2i0000000000
χ4388-8-8000000000000000000000000000000000000000

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