Finite Group Databasebeta

← Group #2421

Character table — Group #2421

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444442244444444444444444444
χ111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-11-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-11
χ7111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-11-1
χ911111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1311111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11-1-11
χ1722-2-22-2-222i2i−2i−2i22-2-20000002i−2i00000000000000
χ1822-2-22-2-222i2i−2i−2i-2-222000000−2i2i00000000000000
χ1922-2-22-2-22−2i−2i2i2i22-2-2000000−2i2i00000000000000
χ2022-2-22-2-22−2i−2i2i2i-2-2220000002i−2i00000000000000
χ212-222-2-2-2200002-22-2000000002i−2i2i−2i0000000000
χ222-222-2-2-2200002-22-200000000−2i2i−2i2i0000000000
χ232-222-2-2-220000-22-22000000002i−2i−2i2i0000000000
χ242-222-2-2-220000-22-2200000000−2i2i2i−2i0000000000
χ252-22-222-2-22-22-2000000002i−2i0000002i−2i00000000
χ262-22-222-2-22-22-200000000−2i2i000000−2i2i00000000
χ272-22-222-2-2-22-22000000002i−2i000000−2i2i00000000
χ282-22-222-2-2-22-2200000000−2i2i0000002i−2i00000000
χ292-2-222-22-22i−2i−2i2i00002-22i−2i000000000000000000
χ302-2-222-22-22i−2i−2i2i0000-22−2i2i000000000000000000
χ312-2-222-22-2−2i2i2i−2i00002-2−2i2i000000000000000000
χ322-2-222-22-2−2i2i2i−2i0000-222i−2i000000000000000000
χ332-2-2-2-222200002-2-22000000000000002-22-20000
χ342-2-2-2-222200002-2-2200000000000000-22-220000
χ352-2-2-2-22220000-222-2000000000000002-2-220000
χ362-2-2-2-22220000-222-200000000000000-222-20000
χ37444-4-4-44-4000000000000000000000000000000
χ3844-44-44-4-4000000000000000000000000000000

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