Finite Group Databasebeta

← Group #2015

Character table — Group #2015

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size11111111222244444444444488888888
order12222222444444448888888822444444
χ111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-2-2-2-222-2-20000000000000000
χ1022222222-2-2-2-2-2-2220000000000000000
χ11222-2-2-2-2222-2-2000000000000002i−2i0000
χ12222-2-2-2-2222-2-200000000000000−2i2i0000
χ13222-2-2-2-22-2-2220000000000000000002-2
χ14222-2-2-2-22-2-222000000000000000000-22
χ1522-2-22-22-20000002i−2i22−2−2i2i2−i2−i200000000
χ1622-2-22-22-20000002i−2i−2−222−i2−i2i2i200000000
χ1722-2-22-22-2000000−2i2i22−2−2−i2−i2i2i200000000
χ1822-2-22-22-2000000−2i2i−2−222i2i2−i2−i200000000
χ192-22-2-222-200002i−2i002−22−2i2−i2i2−i200000000
χ202-22-2-222-200002i−2i00−22−22−i2i2−i2i200000000
χ212-22-2-222-20000−2i2i002−22−2−i2i2−i2i200000000
χ222-22-2-222-20000−2i2i00−22−22i2−i2i2−i200000000
χ232-2-22-2-2222-22-2000000002-2-2200000000
χ242-2-22-2-2222-22-200000000-222-200000000
χ252-2-22-2-222-22-2200002-2-22000000000000
χ262-2-22-2-222-22-220000-222-2000000000000
χ272-2-2-222-222-2-2200000000000000002-200
χ282-2-2-222-222-2-220000000000000000-2200
χ292-2-2-222-22-222-20000000000002-2000000
χ302-2-2-222-22-222-2000000000000-22000000
χ3144-44-44-4-4000000000000000000000000
χ324-4444-4-4-4000000000000000000000000

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