Finite Group Databasebeta

← Group #2525

Character table — Group #2525

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444444444442444
χ111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ6111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1
χ7111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1
χ8111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-1-11
χ911111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ1011111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ1111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ1211111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11-1
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11
χ1722-22-2-22-200002i2i−2i−2i000000002-200002i−2i000000
χ1822-22-2-22-200002i2i−2i−2i00000000-220000−2i2i000000
χ1922-22-2-22-20000−2i−2i2i2i000000002-20000−2i2i000000
χ2022-22-2-22-20000−2i−2i2i2i00000000-2200002i−2i000000
χ2122-2-22-2-2222-2-2000000002i−2i0000002i−2i00000000
χ2222-2-22-2-2222-2-200000000−2i2i000000−2i2i00000000
χ2322-2-22-2-22-2-222000000002i−2i000000−2i2i00000000
χ2422-2-22-2-22-2-22200000000−2i2i0000002i−2i00000000
χ252-222-2-2-2200002-22-20000002i−2i000000002i−2i0000
χ262-222-2-2-2200002-22-2000000−2i2i00000000−2i2i0000
χ272-222-2-2-220000-22-220000002i−2i00000000−2i2i0000
χ282-222-2-2-220000-22-22000000−2i2i000000002i−2i0000
χ292-22-22-22-22i−2i2i−2i0000002i−2i0000002-20000000000
χ302-22-22-22-22i−2i2i−2i000000−2i2i000000-220000000000
χ312-22-22-22-2−2i2i−2i2i0000002i−2i000000-220000000000
χ322-22-22-22-2−2i2i−2i2i000000−2i2i0000002-20000000000
χ332-2-2222-2-22i−2i−2i2i2i−2i−2i2i2-200000000000000000000
χ342-2-2222-2-22i−2i−2i2i−2i2i2i−2i-2200000000000000000000
χ352-2-2222-2-2−2i2i2i−2i2i−2i−2i2i-2200000000000000000000
χ362-2-2222-2-2−2i2i2i−2i−2i2i2i−2i2-200000000000000000000
χ37444-4-44-4-4000000000000000000000000000000
χ384-4-4-4-4444000000000000000000000000000000

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