Finite Group Databasebeta

← Group #29262

Character table — Group #29262

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444444444444224444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ17222222222222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ21222-22-2-2-222-2-2220000-2-22-20000002-22-200000000000000000000
χ22222-22-2-2-222-2-2220000-2-22-2000000-22-2200000000000000000000
χ23222-22-2-2-222-2-2-2-2000022-2200000000002i−2i00002i−2i000000000000
χ24222-22-2-2-222-2-2-2-2000022-220000000000−2i2i0000−2i2i000000000000
χ25222-22-2-2-2-2-222220000-2-2-220000002-2-2200000000000000000000
χ26222-22-2-2-2-2-222220000-2-2-22000000-222-200000000000000000000
χ27222-22-2-2-2-2-222-2-20000222-200000000002i−2i0000−2i2i000000000000
χ28222-22-2-2-2-2-222-2-20000222-20000000000−2i2i00002i−2i000000000000
χ2922-22-2-2-222i−2i2i−2i002i2i−2i−2i00002-200000000000000000000i2−i22−22−2i2−i2
χ3022-22-2-2-222i−2i2i−2i002i2i−2i−2i00002-200000000000000000000−i2i2−22−22−i2i2
χ3122-22-2-2-222i−2i2i−2i00−2i−2i2i2i0000-2200000000000000000000i2−i22−2−22−i2i2
χ3222-22-2-2-222i−2i2i−2i00−2i−2i2i2i0000-2200000000000000000000−i2i2−222−2i2−i2
χ3322-22-2-2-22−2i2i−2i2i002i2i−2i−2i0000-2200000000000000000000i2−i2−222−2−i2i2
χ3422-22-2-2-22−2i2i−2i2i002i2i−2i−2i0000-2200000000000000000000−i2i22−2−22i2−i2
χ3522-22-2-2-22−2i2i−2i2i00−2i−2i2i2i00002-200000000000000000000i2−i2−22−22i2−i2
χ3622-22-2-2-22−2i2i−2i2i00−2i−2i2i2i00002-200000000000000000000−i2i22−22−2−i2i2
χ372-2-222-22-200002-22i−2i2i−2i2-20000002i−2i000000002-2002i−2i0000000000
χ382-2-222-22-200002-22i−2i2i−2i2-20000002i−2i00000000-2200−2i2i0000000000
χ392-2-222-22-200002-2−2i2i−2i2i2-2000000−2i2i000000002-200−2i2i0000000000
χ402-2-222-22-200002-2−2i2i−2i2i2-2000000−2i2i00000000-22002i−2i0000000000
χ412-2-222-22-20000-222i−2i2i−2i-22000000−2i2i0000002-20000002i−2i00000000
χ422-2-222-22-20000-222i−2i2i−2i-22000000−2i2i000000-22000000−2i2i00000000
χ432-2-222-22-20000-22−2i2i−2i2i-220000002i−2i0000002-2000000−2i2i00000000
χ442-2-222-22-20000-22−2i2i−2i2i-220000002i−2i000000-220000002i−2i00000000
χ4544-4-4-444-44i−4i−4i4i0000000000000000000000000000000000000000
χ4644-4-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000
χ474-444-44-4-40000004-4-440000000000000000000000000000000000
χ484-444-44-4-4000000-444-40000000000000000000000000000000000
χ494-44-4-4-44400000000000000004-400000000000000000000000000
χ504-44-4-4-4440000000000000000-4400000000000000000000000000
χ514-4-4-444-4400004-40000-4400000000000000000000000000000000
χ524-4-4-444-440000-4400004-400000000000000000000000000000000

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