Finite Group Databasebeta

← Group #19902

Character table — Group #19902

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488882244488888888882224448888444488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1
χ311111111111111-1-1111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ411111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111
χ5111111111111-1-111111-1-1-1-1-1-1-1-1111-111-1-111-1-111-1-1
χ6111111111111-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111111111111-111-111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-111111-1-11111-1-1-1-111-111-1-1-1-1-11-11-11-1
χ1011111111-1-1-1-111111-1-11111-1-1-1-11-111-11-1-1-1-1-11-11-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-11111-11-111-1-1-1111-1-11-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-11111-1-111-11-1-111-111-11-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11-111-1-1-111-1-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-111111-11-1-1111-1-11-1-111-1
χ1511111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-11-1-11-11111-11-111-1
χ1611111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1111111-11-1-11
χ1722222-22-200002222-200-2-2220000-200-2000000000000
χ1822222-22-2000022-2-2-20022-2-20000200-2000000000000
χ1922222-22-20000-2-222-20022-2-20000-2002000000000000
χ2022222-22-20000-2-2-2-2-200-2-22200002002000000000000
χ212222-22-2222220000-2-2-2000000000220-2-20000000000
χ222222-22-2222220000-2-2-2000000000-2-20220000000000
χ232222-22-22-2-2-2-20000-2220000000002-20-220000000000
χ242222-22-22-2-2-2-20000-222000000000-2202-20000000000
χ252-22-220-2022−2−22-22i−2i02−2002i−2ii2i2−i2−i20000002−2i2−i2000000
χ262-22-220-2022−2−22-2−2i2i02−200−2i2i−i2−i2i2i20000002−2−i2i2000000
χ272-22-220-2022−2−2-222i−2i02−200−2i2i−i2−i2i2i2000000−22i2−i2000000
χ282-22-220-2022−2−2-22−2i2i02−2002i−2ii2i2−i2−i2000000−22−i2i2000000
χ292-22-220-20−2−2222-22i−2i0−22002i−2i−i2−i2i2i2000000−22−i2i2000000
χ302-22-220-20−2−2222-2−2i2i0−2200−2i2ii2i2−i2−i2000000−22i2−i2000000
χ312-22-220-20−2−222-222i−2i0−2200−2i2ii2i2−i2−i20000002−2−i2i2000000
χ322-22-220-20−2−222-22−2i2i0−22002i−2i−i2−i2i2i20000002−2i2−i2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4000022−2222−22000000022−22002-22-20000000000000000
χ3544-4-4000022−2222−220000000−222200-22-220000000000000000
χ3644-4-40000−2222−2222000000022−2200-22-220000000000000000
χ3744-4-40000−2222−22220000000−2222002-22-20000000000000000
χ384-44-4-40402222−22−2200000−2222000000000000000000000000
χ394-44-4-4040−22−2222220000022−22000000000000000000000000
χ404-4-44040-40000000000000002i2−2i2−2i22i20000000000000000
χ414-4-44040-4000000000000000−2i22i22i2−2i20000000000000000
χ424-4-440-4044-4-440000000000000000000000000000000
χ434-4-440-404-444-40000000000000000000000000000000

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