Finite Group Databasebeta

← Group #32003

Character table — Group #32003

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244442244444488888888222444444488884444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11-1-11
χ51111111111111111-1-1-1-111111111-111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1
χ9111111111111-1-1-1-111-1-11111-1-1-1-1111-111-1-11111-1-1-1-11-1
χ10111111111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-111-11
χ11111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-111
χ12111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1111111-1-111-11-1-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1-1-111-1-1-11
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-111111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-1111111-1-11-1-1-1
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-1-1-111-1-1-1111
χ1722222222-2-2-2-222-2-222-2-200000000-200200000000000000
χ1822222222-2-2-2-222-2-2-2-22200000000200-200000000000000
χ1922222222-2-2-2-2-2-222222200000000-200-200000000000000
χ2022222222-2-2-2-2-2-222-2-2-2-200000000200200000000000000
χ2122-222-2-2-2-22-2200000000000022-2-20000002i−2i2i−2i00000000
χ2222-222-2-2-2-22-2200000000000022-2-2000000−2i2i−2i2i00000000
χ2322-222-2-2-2-22-22000000000000-2-2220000002i−2i−2i2i00000000
χ2422-222-2-2-2-22-22000000000000-2-222000000−2i2i2i−2i00000000
χ252-222-2-22-20000002i−2i2i−2i2-2i2i2−i2−i22−22−200000000002−2i2−i20000
χ262-222-2-22-20000002i−2i2i−2i2-2−i2−i2i2i2−22−220000000000−22−i2i20000
χ272-222-2-22-20000002i−2i−2i2i-22i2i2−i2−i22−22−20000000000−22−i2i20000
χ282-222-2-22-20000002i−2i−2i2i-22−i2−i2i2i2−22−2200000000002−2i2−i20000
χ292-222-2-22-2000000−2i2i2i−2i-22i2i2−i2−i2−22−2200000000002−2−i2i20000
χ302-222-2-22-2000000−2i2i2i−2i-22−i2−i2i2i22−22−20000000000−22i2−i20000
χ312-222-2-22-2000000−2i2i−2i2i2-2i2i2−i2−i2−22−220000000000−22i2−i20000
χ322-222-2-22-2000000−2i2i−2i2i2-2−i2−i2i2i22−22−200000000002−2−i2i20000
χ332-22-22-2-2222-2-2000000002i−2i2i−2i000002-202i−2i000000000000
χ342-22-22-2-2222-2-2000000002i−2i2i−2i00000-220−2i2i000000000000
χ352-22-22-2-2222-2-200000000−2i2i−2i2i000002-20−2i2i000000000000
χ362-22-22-2-2222-2-200000000−2i2i−2i2i00000-2202i−2i000000000000
χ37444-4-44-4-400000000000022−22−22220000000000000000000000
χ38444-4-44-4-4000000000000−222222−220000000000000000000000
χ3944-444-4-4-44-44-40000000000000000000000000000000000
χ4044-4-4-4-44400004-400000000000000000000000000000000
χ4144-4-4-4-4440000-4400000000000000000000000000000000
χ424-44-44-4-44-4-4440000000000000000000000000000000000
χ434-4-44-44-44000000000000000022−22−2222000000000000000000
χ444-4-44-44-440000000000000000−222222−22000000000000000000
χ454-4-4-4444-44-4-440000000000000000000000000000000000
χ464-4-4-4444-4-444-40000000000000000000000000000000000

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