Finite Group Databasebeta

← Group #10608

Character table — Group #10608

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222224444444448888888888888888448888
χ11111111111111111111111111111111111111
χ21111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ5111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-111
χ6111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ7111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ92222222-2-2-22-22-2-20000000000000000002i−2i00
χ102222222-2-2-22-22-2-2000000000000000000−2i2i00
χ11222222-2222-22-2-2-20022000000-2-20000000000
χ12222222-2222-22-2-2-200-2-2000000220000000000
χ13222222-2-2-2-2-2-2-22200000000000000002-20000
χ14222222-2-2-2-2-2-2-2220000000000000000-220000
χ152222-2-222-2-222-22-222000000-2-2000000000000
χ162222-2-222-2-222-22-2-2-200000022000000000000
χ172222-2-22-2222-2-2-22000022-2-200000000000000
χ182222-2-22-2222-2-2-220000-2-22200000000000000
χ192222-2-2-22-2-2-222-220000000000002i2i−2i−2i000000
χ202222-2-2-22-2-2-222-22000000000000−2i−2i2i2i000000
χ212222-2-2-2-222-2-222-2000000000000000000002i−2i
χ222222-2-2-2-222-2-222-200000000000000000000−2i2i
χ232-2-222-2022-20-2000i2−i2000000i2−i22i−2i2−22−2000000
χ242-2-222-2022-20-2000i2−i2000000i2−i2−2i2i−22−22000000
χ252-2-222-2022-20-2000−i2i2000000−i2i22i−2i−22−22000000
χ262-2-222-2022-20-2000−i2i2000000−i2i2−2i2i2−22−2000000
χ272-2-22-2202-220-2000i2−i22-20000−i2i200i2−i2−i2i2000000
χ282-2-22-2202-220-2000i2−i2-220000−i2i200−i2i2i2−i2000000
χ292-2-22-2202-220-2000−i2i22-20000i2−i200−i2i2i2−i2000000
χ302-2-22-2202-220-2000−i2i2-220000i2−i200i2−i2−i2i2000000
χ3144-4-4004000-4000000000022−2200000000000000
χ3244-4-4004000-40000000000−222200000000000000
χ3344-4-400-40004000000002i2−2i20000000000000000
χ3444-4-400-4000400000000−2i22i20000000000000000
χ354-4-444-40-4-44040000000000000000000000000
χ364-4-44-440-44-4040000000000000000000000000
χ378-88-8000000000000000000000000000000000

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