Finite Group Databasebeta

← Group #10554

Character table — Group #10554

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222224444444448888888888888888444488
χ11111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ5111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ92222222-2-22-2-22-2-20000000000002i2i−2i−2i000000
χ102222222-2-22-2-22-2-2000000000000−2i−2i2i2i000000
χ11222222-222-222-2-2-22200000000-2-20000000000
χ12222222-222-222-2-2-2-2-200000000220000000000
χ13222222-2-2-2-2-2-2-222002i2i−2i−2i0000000000000000
χ14222222-2-2-2-2-2-2-22200−2i−2i2i2i0000000000000000
χ152222-2-222-222-2-2-2200000022-2-2000000000000
χ162222-2-222-222-2-2-22000000-2-222000000000000
χ172222-2-22-222-22-22-200000000000000002-20000
χ182222-2-22-222-22-22-20000000000000000-220000
χ192222-2-2-22-2-22-222-2000000000000000000002i−2i
χ202222-2-2-22-2-22-222-200000000000000000000−2i2i
χ212222-2-2-2-22-2-222-220000000000000000002-200
χ222222-2-2-2-22-2-222-22000000000000000000-2200
χ232-2-222-202-20-220002i−2ii2−i2i2−i20000002−22−2000000
χ242-2-222-202-20-220002i−2i−i2i2−i2i2000000−22−22000000
χ252-2-222-202-20-22000−2i2ii2−i2i2−i2000000−22−22000000
χ262-2-222-202-20-22000−2i2i−i2i2−i2i20000002−22−2000000
χ272-2-222-20-2202-2000002−2−2200002i−2ii2−i2−i2i2000000
χ282-2-222-20-2202-2000002−2−220000−2i2i−i2i2i2−i2000000
χ292-2-222-20-2202-200000−222−200002i−2i−i2i2i2−i2000000
χ302-2-222-20-2202-200000−222−20000−2i2ii2−i2−i2i2000000
χ3144-4-400400-4000000000000022−22000000000000
χ3244-4-400400-40000000000000−2222000000000000
χ3344-4-400-4004000000000002i2−2i200000000000000
χ3444-4-400-400400000000000−2i22i200000000000000
χ354-4-44-440440-4-40000000000000000000000000
χ364-4-44-440-4-40440000000000000000000000000
χ378-88-8000000000000000000000000000000000

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