Finite Group Databasebeta

← Group #2513

Character table — Group #2513

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444444444442244
χ111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ41111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ6111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11
χ17222-2-2-2-2222-2-22i2i−2i−2i002i−2i000000000000000000
χ18222-2-2-2-2222-2-2−2i−2i2i2i00−2i2i000000000000000000
χ19222-2-2-2-22-2-2222i2i−2i−2i00−2i2i000000000000000000
χ20222-2-2-2-22-2-222−2i−2i2i2i002i−2i000000000000000000
χ2122-222-2-2-200002-22-20000002i−2i00002i−2i00000000
χ2222-222-2-2-200002-22-2000000−2i2i0000−2i2i00000000
χ2322-222-2-2-20000-22-220000002i−2i0000−2i2i00000000
χ2422-222-2-2-20000-22-22000000−2i2i00002i−2i00000000
χ2522-2-2-222-200002i−2i−2i2i2-2002i−2i0000000000000000
χ2622-2-2-222-200002i−2i−2i2i-2200−2i2i0000000000000000
χ2722-2-2-222-20000−2i2i2i−2i2-200−2i2i0000000000000000
χ2822-2-2-222-20000−2i2i2i−2i-22002i−2i0000000000000000
χ292-222-22-2-22-22-20000000000002i−2i2i−2i0000000000
χ302-222-22-2-22-22-2000000000000−2i2i−2i2i0000000000
χ312-222-22-2-2-22-220000000000002i−2i−2i2i0000000000
χ322-222-22-2-2-22-22000000000000−2i2i2i−2i0000000000
χ332-22-22-22-22-2-220000000000000000002i−2i2i−2i0000
χ342-22-22-22-22-2-22000000000000000000−2i2i−2i2i0000
χ352-22-22-22-2-222-20000000000000000002i−2i−2i2i0000
χ362-22-22-22-2-222-2000000000000000000−2i2i2i−2i0000
χ374-4-44-4-444000000000000000000000000000000
χ384-4-4-444-44000000000000000000000000000000

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