Finite Group Databasebeta

← Group #23521

Character table — Group #23521

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111222222222222228888888888888888888888888888
order1222222222444444442222224444448888888888888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-11-1-1-1-111111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-11-1-1-1-111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111
χ11111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111
χ12111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ14111111-1-1-1-11-1-1-1-1111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1
χ15111111-1-1-1-11-1-1-1-1111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ16111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ182222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ19222222-2-2-2-2-22222-2-2-20000000000000000000000002i−2i−2i2i
χ20222222-2-2-2-2-22222-2-2-2000000000000000000000000−2i2i2i−2i
χ212222-2-222-2-2222-2-2-2-22000000000000000000002-22-20000
χ222222-2-222-2-2222-2-2-2-2200000000000000000000-22-220000
χ232222-2-222-2-2-2-2-22222-20000002-22-2000000000000000000
χ242222-2-222-2-2-2-2-22222-2000000-22-22000000000000000000
χ252222-2-2-2-2222-2-222-2-22000000000000000000002-2-220000
χ262222-2-2-2-2222-2-222-2-2200000000000000000000-222-20000
χ272222-2-2-2-222-222-2-222-20000002-2-22000000000000000000
χ282222-2-2-2-222-222-2-222-2000000-222-2000000000000000000
χ292-2-222-22-22-222-22-22-2-200000000000000002i−2i2i−2i00000000
χ302-2-222-22-22-222-22-22-2-20000000000000000−2i2i−2i2i00000000
χ312-2-222-22-22-2-2-22-22-2222-22-2000000000000000000000000
χ322-2-222-22-22-2-2-22-22-222-22-22000000000000000000000000
χ332-2-222-2-22-222-22-222-2-200000000000000002i−2i−2i2i00000000
χ342-2-222-2-22-222-22-222-2-20000000000000000−2i2i2i−2i00000000
χ352-2-222-2-22-22-22-22-2-2222-2-22000000000000000000000000
χ362-2-222-2-22-22-22-22-2-222-222-2000000000000000000000000
χ372-2-22-222-2-2222-2-22-22-20000000000002i−2i2i−2i000000000000
χ382-2-22-222-2-2222-2-22-22-2000000000000−2i2i−2i2i000000000000
χ392-2-22-222-2-22-2-222-22-2200002-200002-20000000000000000
χ402-2-22-222-2-22-2-222-22-220000-220000-220000000000000000
χ412-2-22-22-222-22-222-2-22-20000000000002i−2i−2i2i000000000000
χ422-2-22-22-222-22-222-2-22-2000000000000−2i2i2i−2i000000000000
χ432-2-22-22-222-2-22-2-222-2200002-20000-220000000000000000
χ442-2-22-22-222-2-22-2-222-220000-2200002-20000000000000000
χ4588-8-8000000000000000000000000000000000000000000
χ468-88-8000000000000000000000000000000000000000000

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