Finite Group Databasebeta

← Group #19821

Character table — Group #19821

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882444488888888824448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-111-1-1-111-11111-1-1-1-1-1-1-111-1-1
χ3111111111111-1-11111111-1-11-111-1-1111111-1-1-1-1-1
χ4111111111111-1-11-1-111-1-11-11111-1-1-1-1-1-1-1-11-1-111
χ51111111111-1-111111-1-11111-111-1-1-111-1-1-1-11-11-1-1
χ61111111111-1-1111-1-1-1-1-1-1-11-1-11-1-1-1-1-11111-1-1111
χ71111111111-1-1-1-1111-1-111-1-1-1-11-11111-1-1-1-1-11-111
χ81111111111-1-1-1-11-1-1-1-1-1-11-1-111-111-1-1111111-1-1-1
χ911111111-1-11111111-1-1111111-1-1-1-1-1-111-1-1-11-11-1
χ1011111111-1-111111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-11
χ1111111111-1-111-1-1111-1-111-1-11-1-1-111-1-111-1-11-11-11
χ1211111111-1-111-1-11-1-1-1-1-1-11-111-1-11111-1-111-1-111-1
χ1311111111-1-1-1-111111111111-11-1111-1-1-1-111-1-1-1-11
χ1411111111-1-1-1-1111-1-111-1-1-11-1-1-11111111-1-11-1-11-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-111-1-11-1-11-11-1-11111-1-1-111-11
χ1722222-2-22000022-22200-2-2-2-202000000000000000
χ1822222-2-22000022-2-2-200222-20-2000000000000000
χ1922222-2-220000-2-2-22200-2-2220-2000000000000000
χ2022222-2-220000-2-2-2-2-20022-2202000000000000000
χ212222-222-2222200-200220000-20-2-20000000000000
χ222222-222-222-2-200-200-2-2000020-220000000000000
χ232222-222-2-2-22200-200-2-20000-20220000000000000
χ242222-222-2-2-2-2-200-200220000202-20000000000000
χ252-22-202-202-22i−2i000i2−i22i−2ii2−i200000000i2−i22−22−200000
χ262-22-202-202-22i−2i000−i2i22i−2i−i2i200000000−i2i2−22−2200000
χ272-22-202-202-2−2i2i000i2−i2−2i2ii2−i200000000i2−i2−22−2200000
χ282-22-202-202-2−2i2i000−i2i2−2i2i−i2i200000000−i2i22−22−200000
χ292-22-202-20-222i−2i000i2−i2−2i2ii2−i200000000−i2i22−2−2200000
χ302-22-202-20-222i−2i000−i2i2−2i2i−i2i200000000i2−i2−222−200000
χ312-22-202-20-22−2i2i000i2−i22i−2ii2−i200000000−i2i2−222−200000
χ322-22-202-20-22−2i2i000−i2i22i−2i−i2i200000000i2−i22−2−2200000
χ334444-4-4-4-400000040000000000000000000000000
χ344-44-40-44000000002i2−2i200−2i22i20000000000000000000
χ354-44-40-4400000000−2i22i2002i2−2i20000000000000000000
χ364-4-44400-400000000000000000002i2−2i200000000000
χ374-4-44400-40000000000000000000−2i22i200000000000
χ384-4-44-400400004-400000000000000000000000000
χ394-4-44-40040000-4400000000000000000000000000
χ4088-8-8000000000000000000000000000000000000

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