Finite Group Databasebeta

← Group #19925

Character table — Group #19925

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488884444488888888882444448888224488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-11-11111-1-1-1-1-1-1
χ311111111111111-1-11-1-1-1-111-1-1-1-111-111111-1-11-11-1-1-1
χ411111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-11-1111
χ5111111111111-1-1111-1-1-1-111-1-1-1-11111-11-1-111-11-11-1-1
χ6111111111111-1-1111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1111-11-111
χ7111111111111-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-1111111111-1-1-1-1-1-11-1111-1-1-1-1-11-1-111-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-1-111-111-1-1-1-1-111-1-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-111-1-1-11111-1-1-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-11111-11-1-111-1-111-1-1111-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-1111-1-111-1-11-1
χ1511111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-11-1-11111-111-11-1
χ1611111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-1111111-1-11-11
χ1722222-2-2222220000-20000-2-200002-20-2020000000000
χ1822222-2-2222220000-20000-2-20000-22020-20000000000
χ1922222-2-22-2-2-2-20000-20000220000220-20-20000000000
χ2022222-2-22-2-2-2-20000-20000220000-2-202020000000000
χ212222-222-200002222-222-2-200000000-20-200000000000
χ222222-222-2000022-2-2-2-2-2220000000020-200000000000
χ232222-222-20000-2-222-2-2-22200000000-20200000000000
χ242222-222-20000-2-2-2-2-222-2-20000000020200000000000
χ252-22-202-20i2i2−i2−i22-22i−2i02i−2i00i2−i222−2−2000000i2−i22−2000000
χ262-22-202-20i2i2−i2−i22-2−2i2i0−2i2i00i2−i2−2−222000000i2−i2−22000000
χ272-22-202-20i2i2−i2−i2-222i−2i0−2i2i00i2−i2−2−222000000−i2i22−2000000
χ282-22-202-20i2i2−i2−i2-22−2i2i02i−2i00i2−i222−2−2000000−i2i2−22000000
χ292-22-202-20−i2−i2i2i22-22i−2i02i−2i00−i2i2−2−222000000−i2i2−22000000
χ302-22-202-20−i2−i2i2i22-2−2i2i0−2i2i00−i2i222−2−2000000−i2i22−2000000
χ312-22-202-20−i2−i2i2i2-222i−2i0−2i2i00−i2i222−2−2000000i2−i2−22000000
χ322-22-202-20−i2−i2i2i2-22−2i2i02i−2i00−i2i2−2−222000000i2−i22−2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4400-400000000000000022−2222−220000000000000000
χ3544-4-4400-4000000000000000−2222−22220000000000000000
χ3644-4-4-40044i−4i4i−4i0000000000000000000000000000000
χ3744-4-4-4004−4i4i−4i4i0000000000000000000000000000000
χ384-44-40-4402i22i2−2i2−2i2000000000−2i22i200000000000000000000
χ394-44-40-440−2i2−2i22i22i20000000002i2−2i200000000000000000000
χ404-4-44000022−22−2222000000022−22002-2-220000000000000000
χ414-4-44000022−22−22220000000−222200-222-20000000000000000
χ424-4-440000−222222−22000000022−2200-222-20000000000000000
χ434-4-440000−222222−220000000−2222002-2-220000000000000000

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