Finite Group Databasebeta

← Group #2477

Character table — Group #2477

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444442222444444444444444444
χ111111111111111111111111111111111111111
χ2111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111-1-111-1-111-1-11111-1-111-1-1-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11-11
χ6111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111-11-1
χ7111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-11-1
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11
χ911111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1
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
χ1211111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-111-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1
χ17222-2-2-2-222i2i−2i−2i0000000000002i−2i00002-2000000
χ18222-2-2-2-222i2i−2i−2i000000000000−2i2i0000-22000000
χ19222-2-2-2-22−2i−2i2i2i0000000000002i−2i0000-22000000
χ20222-2-2-2-22−2i−2i2i2i000000000000−2i2i00002-2000000
χ2122-2-22-22-200002i2i−2i−2i002-20000002i−2i0000000000
χ2222-2-22-22-200002i2i−2i−2i00-22000000−2i2i0000000000
χ2322-2-22-22-20000−2i−2i2i2i002-2000000−2i2i0000000000
χ2422-2-22-22-20000−2i−2i2i2i00-220000002i−2i0000000000
χ252-222-2-22-22-22-22i−2i2i−2i0000002i−2i00000000000000
χ262-222-2-22-22-22-2−2i2i−2i2i000000−2i2i00000000000000
χ272-222-2-22-2-22-222i−2i2i−2i000000−2i2i00000000000000
χ282-222-2-22-2-22-22−2i2i−2i2i0000002i−2i00000000000000
χ292-22-222-2-22i−2i−2i2i00002-2002i−2i0000000000000000
χ302-22-222-2-22i−2i−2i2i0000-2200−2i2i0000000000000000
χ312-22-222-2-2−2i2i2i−2i00002-200−2i2i0000000000000000
χ322-22-222-2-2−2i2i2i−2i0000-22002i−2i0000000000000000
χ332-2-2-2-222200002-2-220000000000002-2002-20000
χ342-2-2-2-222200002-2-22000000000000-2200-220000
χ352-2-2-2-22220000-222-20000000000002-200-220000
χ362-2-2-2-22220000-222-2000000000000-22002-20000
χ3744-44-44-4-4000000000000000000000000000000
χ384-4-444-4-44000000000000000000000000000000

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