Finite Group Databasebeta

← Group #30625

Character table — Group #30625

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111122222244448888888888888888881616161616
order1222224444888822244444444488888824488
χ11111111111111111111111111111111111111
χ21111111111111111-1-1-1-111-1-1111111-1-1-1-1-11-1
χ311111111111111-1-111-1-1-1-111111-1-1111-1-1-1-11
χ411111111111111-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1
χ5111111111111-1-11-111111-111-1-11-1-1-1-1-1-11-11-1
χ6111111111111-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1111-1111
χ7111111111111-1-1-1111-1-1-1111-1-1111-1-1-11-11-1-1
χ8111111111111-1-1-11-1-111-11-1-1-1-1111-111-11-1-11
χ91111111111-1-111111-1-1-1111-1-1-1-1-1-1111-111-1-1
χ101111111111-1-11111-111111-11-1-1-1-1-11-1-11-1-1-11
χ111111111111-1-111-1-11-111-1-11-1-1-1-1111111-1-11-1
χ121111111111-1-111-1-1-11-1-1-1-1-11-1-1-1111-1-1-11111
χ131111111111-1-1-1-11-11-1-1-11-11-111-111-1-1-111-1-11
χ141111111111-1-1-1-11-1-11111-1-1111-111-111-1-11-1-1
χ151111111111-1-1-1-1-111-111-111-111-1-1-1-1-1-1-1-1111
χ161111111111-1-1-1-1-11-11-1-1-11-1111-1-1-1-11111-11-1
χ172222-2-22-2-220022220000-2-20000000-20000000
χ182222-2-22-2-220022-2-20000220000000-20000000
χ192222-2-22-2-2200-2-22-20000-22000000020000000
χ202222-2-22-2-2200-2-2-2200002-2000000020000000
χ212222-2-2-222-22200002-20000-2200-20000000000
χ222222-2-2-222-2220000-2200002-200-20000000000
χ232222-2-2-222-2-2-20000220000-2-20020000000000
χ242222-2-2-222-2-2-20000-2-20000220020000000000
χ252-22-2-222-22-2000000002i−2i00000002-202i−2i00000
χ262-22-2-222-22-2000000002i−2i0000000-220−2i2i00000
χ272-22-2-222-22-200000000−2i2i00000002-20−2i2i00000
χ282-22-2-222-22-200000000−2i2i0000000-2202i−2i00000
χ29444444-4-4-4-4000000000000000000000000000
χ3044-4-40000002i2−2i222−2200000000002i−2i00000000000
χ3144-4-40000002i2−2i2−22220000000000−2i2i00000000000
χ3244-4-4000000−2i22i222−220000000000−2i2i00000000000
χ3344-4-4000000−2i22i2−222200000000002i−2i00000000000
χ344-44-44-444-4-4000000000000000000000000000
χ354-44-44-4-4-444000000000000000000000000000
χ364-44-4-44-44-44000000000000000000000000000
χ378-8-88000000000000000000000000000000000

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