Finite Group Databasebeta

← Group #19948

Character table — Group #19948

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488884444488888888882244448888444488
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
χ17222222-2-200002222-20022-2-20000-200-2000000000000
χ18222222-2-2000022-2-2-200-2-2220000200-2000000000000
χ19222222-2-20000-2-222-200-2-2220000-2002000000000000
χ20222222-2-20000-2-2-2-2-20022-2-200002002000000000000
χ212222-2-22222220000-2-2-2000000000220-2-20000000000
χ222222-2-22222220000-2-2-2000000000-2-20220000000000
χ232222-2-222-2-2-2-20000-2220000000002-20-220000000000
χ242222-2-222-2-2-2-20000-222000000000-2202-20000000000
χ252-22-22-200i2i2−i2−i22i−2i2i−2i0i2−i22-200i2i2−i2−i20000002−22−2000000
χ262-22-22-200i2i2−i2−i22i−2i−2i2i0i2−i2-2200−i2−i2i2i20000002−2−22000000
χ272-22-22-200i2i2−i2−i2−2i2i2i−2i0i2−i2-2200−i2−i2i2i2000000−222−2000000
χ282-22-22-200i2i2−i2−i2−2i2i−2i2i0i2−i22-200i2i2−i2−i2000000−22−22000000
χ292-22-22-200−i2−i2i2i22i−2i2i−2i0−i2i22-200−i2−i2i2i2000000−22−22000000
χ302-22-22-200−i2−i2i2i22i−2i−2i2i0−i2i2-2200i2i2−i2−i2000000−222−2000000
χ312-22-22-200−i2−i2i2i2−2i2i2i−2i0−i2i2-2200i2i2−i2−i20000002−2−22000000
χ322-22-22-200−i2−i2i2i2−2i2i−2i2i0−i2i22-200−i2−i2i2i20000002−22−2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4000022−2222−2200000000022−222-22-20000000000000000
χ3544-4-4000022−2222−22000000000−2222-22-220000000000000000
χ3644-4-40000−2222−222200000000022−22-22-220000000000000000
χ3744-4-40000−2222−2222000000000−22222-22-20000000000000000
χ384-44-4-44002i22i2−2i2−2i200000−2i22i2000000000000000000000000
χ394-44-4-4400−2i2−2i22i22i2000002i2−2i2000000000000000000000000
χ404-4-44004-40000000000000002i2−2i2−2i22i20000000000000000
χ414-4-44004-4000000000000000−2i22i22i2−2i20000000000000000
χ424-4-4400-444i−4i−4i4i0000000000000000000000000000000
χ434-4-4400-44−4i4i4i−4i0000000000000000000000000000000

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