Finite Group Databasebeta

← Group #19932

Character table — Group #19932

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488884444488888888884444448888444488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1
χ311111111111111-1-11-1-111-1-1-1-1-1-1111-11111-1-111-1-1-1-1
χ411111111111111-1-11-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111
χ5111111111111-1-1111-1-111-1-1-1-1-1-111-1111-1-111-1-111-1-1
χ6111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ7111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-11111111-1-111-1-1-1-11-1111-1-1-1-1-11-11-11-1
χ1011111111-1-1-1-11111111-1-111-1-1-1-1-1111-11-1-1-1-1-11-11-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-111111-11-11-1-1-1111-1-11-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-11111-111-1-11-1-111-111-11-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-111-111-1-1-111-1-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-11111-11-11-1111-1-11-1-111-1
χ1511111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-1-11-11111-11-111-1
χ1611111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11-1-1-1111111-11-1-11
χ1722222-22-200002222-22200-2-2000000-2-2000000000000
χ1822222-22-2000022-2-2-2-2-20022000000-22000000000000
χ1922222-22-20000-2-222-2-2-200220000002-2000000000000
χ2022222-22-20000-2-2-2-2-22200-2-200000022000000000000
χ212222-22-2222220000-200-2-20000002200-2-20000000000
χ222222-22-2222220000-200-2-2000000-2-200220000000000
χ232222-22-22-2-2-2-20000-200220000002-200-220000000000
χ242222-22-22-2-2-2-20000-20022000000-22002-20000000000
χ2522-2-220-2022−2−22-22-202-22−20022−2−20000002−22−2000000
χ2622-2-220-2022−2−22-2-220-222−200−2−2220000002−2−22000000
χ2722-2-220-2022−2−2-222-20-222−200−2−222000000−222−2000000
χ2822-2-220-2022−2−2-22-2202-22−20022−2−2000000−22−22000000
χ2922-2-220-20−2−2222-22-202-2−2200−2−222000000−22−22000000
χ3022-2-220-20−2−2222-2-220-22−220022−2−2000000−222−2000000
χ3122-2-220-20−2−222-222-20-22−220022−2−20000002−2−22000000
χ3222-2-220-20−2−222-22-2202-2−2200−2−2220000002−22−2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4-40402222−22−220000000−22220000000000000000000000
χ3544-4-4-4040−22−222222000000022−220000000000000000000000
χ364-44-4040-44-44-40000000000000000000000000000000
χ374-44-4040-4-44-440000000000000000000000000000000
χ384-44-40-4040000000000000002i2−2i22i2−2i20000000000000000
χ394-44-40-404000000000000000−2i22i2−2i22i20000000000000000
χ404-4-44000022−22−22220000000002i2−2i22i−2i−2i2i0000000000000000
χ414-4-44000022−22−2222000000000−2i22i2−2i2i2i−2i0000000000000000
χ424-4-440000−222222−220000000002i2−2i2−2i2i2i−2i0000000000000000
χ434-4-440000−222222−22000000000−2i22i22i−2i−2i2i0000000000000000

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