Finite Group Databasebeta

← Group #19929

Character table — Group #19929

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488882244488888888884444448888444488
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111-1-11-1-111-1-1-1-1-1-11-1111111-1-111-1-1-1-1
χ411111111111111-1-11-1-111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111
χ5111111111111-1-1111-1-111-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ6111111111111-1-1111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-11-11-11-1
χ1011111111-1-1-1-11111111-1-111-1-1-1-111-1-111-1-1-1-1-11-11-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-111111-111-1-1-1-1111-1-11-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-1-111-1-111-111-11-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1111-1-111-1-1-111-1-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11111-1-11-1-111-1
χ1511111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11111-11-111-1
χ1611111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-11-1-11
χ1722222-2-2200002222-22200-2-20000-2-200000000000000
χ1822222-2-22000022-2-2-2-2-200220000-2200000000000000
χ1922222-2-220000-2-222-2-2-2002200002-200000000000000
χ2022222-2-220000-2-2-2-2-22200-2-200002200000000000000
χ212222-222-222220000-200-2-2000000002-22-20000000000
χ222222-222-222220000-200-2-200000000-22-220000000000
χ232222-222-2-2-2-2-20000-20022000000002-2-220000000000
χ242222-222-2-2-2-2-20000-2002200000000-222-20000000000
χ2522-2-2200-222−2−22-22-202-22−20022−2−20000002−22−2000000
χ2622-2-2200-222−2−22-2-220-222−200−2−2220000002−2−22000000
χ2722-2-2200-222−2−2-222-20-222−200−2−222000000−222−2000000
χ2822-2-2200-222−2−2-22-2202-22−20022−2−2000000−22−22000000
χ2922-2-2200-2−2−2222-22-202-2−2200−2−222000000−22−22000000
χ3022-2-2200-2−2−2222-2-220-22−220022−2−2000000−222−2000000
χ3122-2-2200-2−2−222-222-20-22−220022−2−20000002−2−22000000
χ3222-2-2200-2−2−222-22-2202-2−2200−2−2220000002−22−2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4-40042222−22−220000000−22220000000000000000000000
χ3544-4-4-4004−22−222222000000022−220000000000000000000000
χ364-44-400002i2−2i22i2−2i200000000022−222i−2i2i−2i0000000000000000
χ374-44-400002i2−2i22i2−2i2000000000−2222−2i2i−2i2i0000000000000000
χ384-44-40000−2i22i2−2i22i200000000022−22−2i2i−2i2i0000000000000000
χ394-44-40000−2i22i2−2i22i2000000000−22222i−2i2i−2i0000000000000000
χ404-4-4404-400000000000000002i2−2i2−2i22i20000000000000000
χ414-4-4404-40000000000000000−2i22i22i2−2i20000000000000000
χ424-4-440-4404i−4i−4i4i0000000000000000000000000000000
χ434-4-440-440−4i4i4i−4i0000000000000000000000000000000

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