Finite Group Databasebeta

← Group #30173

Character table — Group #30173

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444224444444422444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-11-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-11-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1
χ1311111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-11-1-11
χ17222222222222-2-2-2-222-2-222-2-2-2-200000000000000000000
χ18222222222222-2-2-2-2-2-222-2-2-2-22200000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ2122-22-2-22-22i2i−2i−2i0000002i−2i00002-200000000i2−i22−22−2i2−i20000
χ2222-22-2-22-22i2i−2i−2i0000002i−2i00002-200000000−i2i2−22−22−i2i20000
χ2322-22-2-22-22i2i−2i−2i000000−2i2i0000-2200000000i2−i22−2−22−i2i20000
χ2422-22-2-22-22i2i−2i−2i000000−2i2i0000-2200000000−i2i2−222−2i2−i20000
χ2522-22-2-22-2−2i−2i2i2i0000002i−2i0000-2200000000i2−i2−222−2−i2i20000
χ2622-22-2-22-2−2i−2i2i2i0000002i−2i0000-2200000000−i2i22−2−22i2−i20000
χ2722-22-2-22-2−2i−2i2i2i000000−2i2i00002-200000000i2−i2−22−22i2−i20000
χ2822-22-2-22-2−2i−2i2i2i000000−2i2i00002-200000000−i2i22−22−2−i2i20000
χ2922-2-22-2-222i−2i2i−2i22-2-20000002i−2i00002i−2i002-2000000000000
χ3022-2-22-2-222i−2i2i−2i22-2-20000002i−2i0000−2i2i00-22000000000000
χ3122-2-22-2-222i−2i2i−2i-2-222000000−2i2i002-2002i−2i00000000000000
χ3222-2-22-2-222i−2i2i−2i-2-222000000−2i2i00-2200−2i2i00000000000000
χ3322-2-22-2-22−2i2i−2i2i22-2-2000000−2i2i00002i−2i00-22000000000000
χ3422-2-22-2-22−2i2i−2i2i22-2-2000000−2i2i0000−2i2i002-2000000000000
χ3522-2-22-2-22−2i2i−2i2i-2-2220000002i−2i002-200−2i2i00000000000000
χ3622-2-22-2-22−2i2i−2i2i-2-2220000002i−2i00-22002i−2i00000000000000
χ37444-4-44-4-44-4-440000000000000000000000000000000000
χ38444-4-44-4-4-444-40000000000000000000000000000000000
χ394-4444-4-4-400004-44-4000000000000000000000000000000
χ404-4444-4-4-40000-44-44000000000000000000000000000000
χ414-44-4-4-444000000004-40000000000000000000000000000
χ424-44-4-4-44400000000-440000000000000000000000000000
χ434-4-44-44-440000000000004-4000000000000000000000000
χ444-4-44-44-44000000000000-44000000000000000000000000
χ454-4-4-4444-400004-4-44000000000000000000000000000000
χ464-4-4-4444-40000-444-4000000000000000000000000000000

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