Finite Group Databasebeta

← Group #19768

Character table — Group #19768

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882444488888888824448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-111-1-111-11-1111-1-1-1-1-1-111-1-1-1
χ3111111111111-1-11111111-11-11-11-1-1111111-1-1-1-1-1
χ4111111111111-1-11-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1111
χ51111111111-1-111111-1-111111-11-1-1-111-1-1-1-1-111-1-1
χ61111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-111
χ71111111111-1-1-1-1111-1-111-11-1-1-1-11111-1-1-1-11-1-111
χ81111111111-1-1-1-11-1-1-1-1-1-1-111-11-111-1-111111-11-1-1
χ911111111-1-11111111-1-1111-1111-1-1-1-1-111-1-11-1-11-1
χ1011111111-1-111111-1-1-1-1-1-11-1-11-1-1-1-111-1-1111-11-11
χ1111111111-1-111-1-1111-1-111-1-1-11-1-111-1-111-1-1-111-11
χ1211111111-1-111-1-11-1-1-1-1-1-1-1-1111-11111-1-111-11-11-1
χ1311111111-1-1-1-11111111111-11-11111-1-1-1-111-1-1-1-11
χ1411111111-1-1-1-1111-1-111-1-11-1-1-1-11111111-1-1-1-111-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-111-1-1-1-11-111-1-11111-1-111-1-11
χ1722222-2-22000022-22200-2-2-2020-200000000000000
χ1822222-2-22000022-2-2-20022-20-20200000000000000
χ1922222-2-220000-2-2-22200-2-220-20200000000000000
χ2022222-2-220000-2-2-2-2-200222020-200000000000000
χ212222-222-2222200-20022000-20-20-20000000000000
χ222222-222-222-2-200-200-2-2000-202020000000000000
χ232222-222-2-2-22200-200-2-200020-2020000000000000
χ242222-222-2-2-2-2-200-200220002020-20000000000000
χ252-22-202-202-22-2000i2−i22-2i2−i200000000i2−i2i2−i2i2−i200000
χ262-22-202-202-22-2000−i2i22-2−i2i200000000−i2i2−i2i2−i2i200000
χ272-22-202-202-2-22000i2−i2-22i2−i200000000i2−i2−i2i2−i2i200000
χ282-22-202-202-2-22000−i2i2-22−i2i200000000−i2i2i2−i2i2−i200000
χ292-22-202-20-222-2000i2−i2-22i2−i200000000−i2i2i2−i2−i2i200000
χ302-22-202-20-222-2000−i2i2-22−i2i200000000i2−i2−i2i2i2−i200000
χ312-22-202-20-22-22000i2−i22-2i2−i200000000−i2i2−i2i2i2−i200000
χ322-22-202-20-22-22000−i2i22-2−i2i200000000i2−i2i2−i2−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-4400-4000000000000000000022−2200000000000
χ3544-4-4400-40000000000000000000−222200000000000
χ3644-4-4-400400004i−4i00000000000000000000000000
χ3744-4-4-40040000−4i4i00000000000000000000000000
χ384-44-40-44000000002i2−2i200−2i22i20000000000000000000
χ394-44-40-4400000000−2i22i2002i2−2i20000000000000000000
χ408-8-88000000000000000000000000000000000000

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