Finite Group Databasebeta

← Group #11882

Character table — Group #11882

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222224444444444444444488888888228888
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1-1-11-11111iiii−i−i−i−i-1-1ii−i−i
χ611111111111-1-1-1-1-1-11-11111−i−i−i−iiiii-1-1−i−iii
χ711111111111-1-1-1-1-1-11-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111111-1-1-1-1-1-11-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-1-1-111-1-1-1-11111-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-1-1-1-111-1-1-1-11111-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i-11−ii−ii
χ12111111-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iii-11i−ii−i
χ13111111-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-111-1-11
χ14111111-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-11-111-1
χ15111111-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1-111-1
χ16111111-1-1-1-1-1-1-111111-1-1-111-1-11111-1-11-11-1-11
χ17222222222-2-222-222-2-2-2000000000000000000
χ18222222222-2-2-2-22-2-22-22000000000000000000
χ19222222-2-2-222222-2-22-2-2000000000000000000
χ20222222-2-2-222-2-2-222-2-22000000000000000000
χ212-22-2-220002-22-2200-2000000i2−i2i2−i2i2−i2i2−i2000000
χ222-22-2-220002-22-2200-2000000−i2i2−i2i2−i2i2−i2i2000000
χ232-22-2-220002-2-22-20020000002−22−2−22−22000000
χ242-22-2-220002-2-22-2002000000−22−222−22−2000000
χ252-22-2-22000-222-2-20020000002−2−222−2−22000000
χ262-22-2-22000-222-2-2002000000−222−2−222−2000000
χ272-22-2-22000-22-22200-2000000i2−i2−i2i2−i2i2i2−i2000000
χ282-22-2-22000-22-22200-2000000−i2i2i2−i2i2−i2−i2i2000000
χ294444-4-444-40000000000000000000000000000
χ304444-4-4-4-440000000000000000000000000000
χ3144-4-4004-4000000000002i−2i2i−2i00000000000000
χ3244-4-4004-400000000000−2i2i−2i2i00000000000000
χ3344-4-400-44000000000002i−2i−2i2i00000000000000
χ3444-4-400-4400000000000−2i2i2i−2i00000000000000
χ354-44-44-4000000004i−4i000000000000000000000
χ364-44-44-400000000−4i4i000000000000000000000
χ378-8-88000000000000000000000000000000000

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