Finite Group Databasebeta

← Group #23721

Character table — Group #23721

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111222222222222228888888888888888888888888888
order1222224444444444442224444444448888888888888888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-11111-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-1-1-1-1-11111111-1111-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ11111111-1-1-1-1-1-1-1-1111111-11-111-1-11-1-1-1-11111-1-1-1-111-1-111
χ12111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1111-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-1-1-1-1-11111-1-11-111111-1-1-1-1-111-1-11111-1-1-1-111
χ14111111-1-1-1-1-1-1-1-11111-1-11-11-1-111-111-1-11111-1-1-1-11111-1-1
χ15111111-1-1-1-1-1-1-1-11111-1-1-11-111111-1-111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-11111111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ182222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ19222222-2-2-2-22222-2-2-2-20000000000000000000000002i−2i−2i2i
χ20222222-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i2i−2i
χ212222-2-222-2-222-2-222-2-200000000000000002-22-200000000
χ222222-2-222-2-222-2-222-2-20000000000000000-22-2200000000
χ232222-2-222-2-2-2-222-2-2220022-20000-2000000000000000000
χ242222-2-222-2-2-2-222-2-22200-2-2200002000000000000000000
χ252222-2-2-2-22222-2-2-2-222002-2-200002000000000000000000
χ262222-2-2-2-22222-2-2-2-22200-2220000-2000000000000000000
χ272222-2-2-2-222-2-22222-2-200000000000000002-2-2200000000
χ282222-2-2-2-222-2-22222-2-20000000000000000-222-200000000
χ292-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000002-22i−2i0000
χ302-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000-22−2i2i0000
χ312-22-22-22i−2i2i−2i−2i2i−2i2i-22-222-2000002i−2i0000000000000000000
χ322-22-22-22i−2i2i−2i−2i2i−2i2i-22-22-2200000−2i2i0000000000000000000
χ332-22-22-2−2i2i−2i2i2i−2i2i−2i-22-222-200000−2i2i0000000000000000000
χ342-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22-22000002i−2i0000000000000000000
χ352-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000002-2−2i2i0000
χ362-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000-222i−2i0000
χ372-22-2-222i−2i−2i2i2i−2i−2i2i2-2-220000000000002-22i−2i000000000000
χ382-22-2-222i−2i−2i2i2i−2i−2i2i2-2-22000000000000-22−2i2i000000000000
χ392-22-2-222i−2i−2i2i−2i2i2i−2i-222-2000002-20002i−2i0000000000000000
χ402-22-2-222i−2i−2i2i−2i2i2i−2i-222-200000-22000−2i2i0000000000000000
χ412-22-2-22−2i2i2i−2i2i−2i−2i2i-222-2000002-2000−2i2i0000000000000000
χ422-22-2-22−2i2i2i−2i2i−2i−2i2i-222-200000-220002i−2i0000000000000000
χ432-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-220000000000002-2−2i2i000000000000
χ442-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-22000000000000-222i−2i000000000000
χ4588-8-8000000000000000000000000000000000000000000
χ468-8-88000000000000000000000000000000000000000000

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