Finite Group Databasebeta

← Group #23831

Character table — Group #23831

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444488888888444444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-111-1-111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111111-1-11-1-1-1-1-1-11111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-111-1-1
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-1-1-11111-1-111-1-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111111-1-111-1-1-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1111-1-11111-1-111
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-111111111-1-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1111111-111-1-1-1-1-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-20000000022-200000000-2000000000000
χ18222222222222-2-2-2-2-2-2-2-200000000-2-22000000002000000000000
χ1922222222-2-2-2-22222-2-2-2-2000000002-2200000000-2000000000000
χ2022222222-2-2-2-22222-2-2-2-200000000-22-2000000002000000000000
χ2122-2-2-2-2222i2i−2i−2i2i2i−2i−2i22-2-2000000000002i−2i00000002-20000000000
χ2222-2-2-2-2222i2i−2i−2i2i2i−2i−2i22-2-200000000000−2i2i0000000-220000000000
χ2322-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-2220000000000000002i−2i00000002-2000000
χ2422-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-222000000000000000−2i2i0000000-22000000
χ2522-2-2-2-222−2i−2i2i2i2i2i−2i−2i-2-2220000000000000002i−2i0000000-22000000
χ2622-2-2-2-222−2i−2i2i2i2i2i−2i−2i-2-222000000000000000−2i2i00000002-2000000
χ2722-2-2-2-222−2i−2i2i2i−2i−2i2i2i22-2-2000000000002i−2i0000000-220000000000
χ2822-2-2-2-222−2i−2i2i2i−2i−2i2i2i22-2-200000000000−2i2i00000002-20000000000
χ292-222-2-22-22-22-22-22-22-22-200000000000000000000000000002i−2i2i−2i
χ302-222-2-22-22-22-22-22-22-22-20000000000000000000000000000−2i2i−2i2i
χ312-222-2-22-22-22-2-22-22-22-222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ322-222-2-22-22-22-2-22-22-22-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ332-222-2-22-2-22-222-22-2-22-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ342-222-2-22-2-22-222-22-2-22-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ352-222-2-22-2-22-22-22-222-22-200000000000000000000000000002i−2i−2i2i
χ362-222-2-22-2-22-22-22-222-22-20000000000000000000000000000−2i2i2i−2i
χ372-2-2-2222-22i−2i−2i2i2i−2i−2i2i2-2-22000000000000000002-200000002i−2i0000
χ382-2-2-2222-22i−2i−2i2i2i−2i−2i2i2-2-2200000000000000000-220000000−2i2i0000
χ392-2-2-2222-22i−2i−2i2i−2i2i2i−2i-222-200000000000002-200000002i−2i00000000
χ402-2-2-2222-22i−2i−2i2i−2i2i2i−2i-222-20000000000000-220000000−2i2i00000000
χ412-2-2-2222-2−2i2i2i−2i2i−2i−2i2i-222-200000000000002-20000000−2i2i00000000
χ422-2-2-2222-2−2i2i2i−2i2i−2i−2i2i-222-20000000000000-2200000002i−2i00000000
χ432-2-2-2222-2−2i2i2i−2i−2i2i2i−2i2-2-22000000000000000002-20000000−2i2i0000
χ442-2-2-2222-2−2i2i2i−2i−2i2i2i−2i2-2-2200000000000000000-2200000002i−2i0000
χ45444-44-4-4-4000000000000000022−2222−22000000000000000000000000
χ46444-44-4-4-40000000000000000−2222−2222000000000000000000000000
χ4744-44-44-4-400000000000022−2222−220000000000000000000000000000
χ4844-44-44-4-4000000000000−2222−22220000000000000000000000000000
χ494-44-4-44-4400000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-4-44-440000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-444-4-440000000000002i2−2i2−2i22i20000000000000000000000000000
χ524-4-444-4-44000000000000−2i22i22i2−2i20000000000000000000000000000

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