Finite Group Databasebeta

← Group #23713

Character table — Group #23713

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444488888888244444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ31111111111111111111111111111-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11-1-111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-111111-1-1-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-111-1-1-1-11-1-11111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111-1-11111111-1-111-1-1
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111111-1-11-1-1-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111111-1-1-1-111-1-1-111-1-111-1-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-11111-1-1
χ17222222222222-2-2-2-2-2-2-2-200000000200002-200000000-200000000
χ18222222222222-2-2-2-2-2-2-2-200000000-20000-2200000000200000000
χ1922222222-2-2-2-22222-2-2-2-20000000020000-2200000000-200000000
χ2022222222-2-2-2-22222-2-2-2-200000000-200002-200000000200000000
χ2122-2-22-2-222i2i−2i−2i2i2i−2i−2i2-22-2000000000000000002i−2i000002-2000000
χ2222-2-22-2-222i2i−2i−2i2i2i−2i−2i2-22-200000000000000000−2i2i00000-22000000
χ2322-2-22-2-222i2i−2i−2i−2i−2i2i2i-22-22000000000002i−2i000000002-2000000000
χ2422-2-22-2-222i2i−2i−2i−2i−2i2i2i-22-2200000000000−2i2i00000000-22000000000
χ2522-2-22-2-22−2i−2i2i2i2i2i−2i−2i-22-22000000000002i−2i00000000-22000000000
χ2622-2-22-2-22−2i−2i2i2i2i2i−2i−2i-22-2200000000000−2i2i000000002-2000000000
χ2722-2-22-2-22−2i−2i2i2i−2i−2i2i2i2-22-2000000000000000002i−2i00000-22000000
χ2822-2-22-2-22−2i−2i2i2i−2i−2i2i2i2-22-200000000000000000−2i2i000002-2000000
χ292-222-2-2-222i−2i2i−2i2i−2i2i−2i2-2-220000000002-200002i−2i000000000000000
χ302-222-2-2-222i−2i2i−2i2i−2i2i−2i2-2-22000000000-220000−2i2i000000000000000
χ312-222-2-2-222i−2i2i−2i−2i2i−2i2i-222-200000000000000000002i−2i000002-20000
χ322-222-2-2-222i−2i2i−2i−2i2i−2i2i-222-20000000000000000000−2i2i00000-220000
χ332-222-2-2-22−2i2i−2i2i2i−2i2i−2i-222-200000000000000000002i−2i00000-220000
χ342-222-2-2-22−2i2i−2i2i2i−2i2i−2i-222-20000000000000000000−2i2i000002-20000
χ352-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-2-220000000002-20000−2i2i000000000000000
χ362-222-2-2-22−2i2i−2i2i−2i2i−2i2i2-2-22000000000-2200002i−2i000000000000000
χ372-2-2-2-22222-2-222-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ382-2-2-2-22222-2-222-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ392-2-2-2-22222-2-22-222-2-2-22200000000000000000000000000002-22-2
χ402-2-2-2-22222-2-22-222-2-2-2220000000000000000000000000000-22-22
χ412-2-2-2-2222-222-22-2-22-2-22200000000000000000000000000002-2-22
χ422-2-2-2-2222-222-22-2-22-2-2220000000000000000000000000000-222-2
χ432-2-2-2-2222-222-2-222-222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ442-2-2-2-2222-222-2-222-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ45444-4-44-4-4000000000000000022−2222−22000000000000000000000000
χ46444-4-44-4-40000000000000000−2222−2222000000000000000000000000
χ4744-44-4-44-400000000000022−2222−220000000000000000000000000000
χ4844-44-4-44-4000000000000−2222−22220000000000000000000000000000
χ494-44-44-44-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ504-44-44-44-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ514-4-4444-4-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-4444-4-40000000000000000−2i22i22i2−2i2000000000000000000000000

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