Finite Group Databasebeta

← Group #30945

Character table — Group #30945

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size111122222244448888888888888888881616161616
order1222224444888824444444444488888824488
χ11111111111111111111111111111111111111
χ21111111111111111-1-11-1-11-1-111-1-11111-1-1-1-11
χ311111111111111-1-111-111-1-1-1111111-1-1-1-1-11-1
χ411111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1
χ5111111111111-1-1111-111-1111-1-1-1-11-1-1-11-1-11-1
χ6111111111111-1-111-111-111-1-1-1-1111-1-1-1-111-1-1
χ7111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11-111-11111
χ8111111111111-1-1-1-1-11-1-11-111-1-1111-1111-1-1-11
χ91111111111-1-1111-111-1111-1-1-1-1-1-1-11111-11-1-1
χ101111111111-1-1111-1-1-1-1-1-1111-1-111-1111-11-11-1
χ111111111111-1-111-1111111-111-1-1-1-1-11-1-1-11-1-11
χ121111111111-1-111-11-1-11-1-1-1-1-1-1-111-11-1-11-1111
χ131111111111-1-1-1-11-11-1-11-11-1-11111-1-1-1-111-1-11
χ141111111111-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1111
χ151111111111-1-1-1-1-111-111-1-1111111-1-111-1-11-1-1
χ161111111111-1-1-1-1-11-111-11-1-1-111-1-1-1-11111-11-1
χ172222-2-22-2-220022002-20-2200000000-20000000
χ182222-2-22-2-22002200-2202-200000000-20000000
χ192222-2-22-2-2200-2-200220-2-20000000020000000
χ202222-2-22-2-2200-2-200-2-20220000000020000000
χ212222-2-2-222-222002200-200-2000000-200000000
χ222222-2-2-222-22200-2-2002002000000-200000000
χ232222-2-2-222-2-2-2002-200200-2000000200000000
χ242222-2-2-222-2-2-200-2200-2002000000200000000
χ252-2-22-222-22-20000000000002-2002i−2i002i−2i00000
χ262-2-22-222-22-20000000000002-200−2i2i00−2i2i00000
χ272-2-22-222-22-2000000000000-22002i−2i00−2i2i00000
χ282-2-22-222-22-2000000000000-2200−2i2i002i−2i00000
χ29444444-4-4-4-4000000000000000000000000000
χ304-44-40000002i2−2i22i2−2i200000000002-200000000000
χ314-44-40000002i2−2i2−2i22i20000000000-2200000000000
χ324-44-4000000−2i22i22i2−2i20000000000-2200000000000
χ334-44-4000000−2i22i2−2i22i200000000002-200000000000
χ344-4-444-444-4-4000000000000000000000000000
χ354-4-444-4-4-444000000000000000000000000000
χ364-4-44-44-44-44000000000000000000000000000
χ3788-8-8000000000000000000000000000000000

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