Finite Group Databasebeta

← Group #19949

Character table — Group #19949

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488884444488888888882244448888224488
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1
χ311111111111111-1-1111-1-1-1-1-1-1-1-111-111111-1-11-11-1-1-1
χ411111111111111-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-11-1111
χ5111111111111-1-111111-1-1-1-1-1-1-1-1-111111-1-111-11-11-1-1
χ6111111111111-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-11-111
χ7111111111111-1-1-1-111111111111-11-1111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1
χ1011111111-1-1-1-111111-1-11111-1-1-1-11-11-111-1-1-1-111-1-1-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-1111111-11-1-1-1-111-111-1-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-1-111-1-1111-1-111-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1111-1-111-1-11-1-11-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11-11111-1-1-111-11-1
χ1511111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-11-11-1-1111111-1-11-1
χ1611111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-111-11
χ17222222-2-200002222-20022-2-20000-20-20000000000000
χ18222222-2-2000022-2-2-200-2-2220000-2020000000000000
χ19222222-2-20000-2-222-200-2-222000020-20000000000000
χ20222222-2-20000-2-2-2-2-20022-2-200002020000000000000
χ212222-2-22222220000-2-2-200000000020-2-220000000000
χ222222-2-22222220000-2-2-2000000000-2022-20000000000
χ232222-2-222-2-2-2-20000-22200000000020-22-20000000000
χ242222-2-222-2-2-2-20000-222000000000-202-220000000000
χ2522-2-22-200i2i2−i2−i22i−2i2i−2i0i2−i22-200i2i2−i2−i20000002−22−2000000
χ2622-2-22-200i2i2−i2−i22i−2i−2i2i0i2−i2-2200−i2−i2i2i20000002−2−22000000
χ2722-2-22-200i2i2−i2−i2−2i2i2i−2i0i2−i2-2200−i2−i2i2i2000000−222−2000000
χ2822-2-22-200i2i2−i2−i2−2i2i−2i2i0i2−i22-200i2i2−i2−i2000000−22−22000000
χ2922-2-22-200−i2−i2i2i22i−2i2i−2i0−i2i22-200−i2−i2i2i2000000−22−22000000
χ3022-2-22-200−i2−i2i2i22i−2i−2i2i0−i2i2-2200i2i2−i2−i2000000−222−2000000
χ3122-2-22-200−i2−i2i2i2−2i2i2i−2i0−i2i2-2200i2i2−i2−i20000002−2−22000000
χ3222-2-22-200−i2−i2i2i2−2i2i−2i2i0−i2i22-200−i2−i2i2i20000002−22−2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4-44002i22i2−2i2−2i200000−2i22i2000000000000000000000000
χ3544-4-4-4400−2i2−2i22i22i2000002i2−2i2000000000000000000000000
χ364-44-4004-40000000000000002i2−2i22i2−2i20000000000000000
χ374-44-4004-4000000000000000−2i22i2−2i22i20000000000000000
χ384-44-400-444i−4i4i−4i0000000000000000000000000000000
χ394-44-400-44−4i4i−4i4i0000000000000000000000000000000
χ404-4-44000022−22−222200000000022−222-2-220000000000000000
χ414-4-44000022−22−2222000000000−2222-222-20000000000000000
χ424-4-440000−222222−2200000000022−22-222-20000000000000000
χ434-4-440000−222222−22000000000−22222-2-220000000000000000

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