Finite Group Databasebeta

← Group #28283

Character table — Group #28283

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1111-1-1-1-11-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-22222-2-2-2-2-2-2-222000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-22222-22222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ21222-22-2-2-222-2-222-20000-22-20000000000000000002-22-200000000
χ22222-22-2-2-222-2-222-20000-22-2000000000000000000-22-2200000000
χ23222-22-2-2-222-2-2-2-2200002-22000000000000002i−2i2i−2i000000000000
χ24222-22-2-2-222-2-2-2-2200002-2200000000000000−2i2i−2i2i000000000000
χ25222-22-2-2-2-2-22222-20000-2-220000000000000000002-2-2200000000
χ26222-22-2-2-2-2-22222-20000-2-22000000000000000000-222-200000000
χ27222-22-2-2-2-2-222-2-22000022-2000000000000002i−2i−2i2i000000000000
χ28222-22-2-2-2-2-222-2-22000022-200000000000000−2i2i2i−2i000000000000
χ2922-2-2-222-22-22-200022-2-200000002-20000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-2-2-222-22-22-200022-2-200000002-20000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-2-2-222-22-22-2000-2-2220000000-220000000000000000i2−i2i2−i2−i2i2−i2i2
χ3222-2-2-222-22-22-2000-2-2220000000-220000000000000000−i2i2−i2i2i2−i2i2−i2
χ3322-2-2-222-2-22-2200022-2-20000000-220000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-2-2-222-2-22-2200022-2-20000000-220000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-2-2-222-2-22-22000-2-22200000002-20000000000000000i2−i2−i2i2−i2i2i2−i2
χ3622-2-2-222-2-22-22000-2-22200000002-20000000000000000−i2i2i2−i2i2−i2−i2i2
χ372-2-2-222-2200002-222-22-2-200002-200002i−2i002i−2i0000000000000000
χ382-2-2-222-2200002-222-22-2-200002-20000−2i2i00−2i2i0000000000000000
χ392-2-2-222-2200002-22-22-22-20000-2200002i−2i00−2i2i0000000000000000
χ402-2-2-222-2200002-22-22-22-20000-220000−2i2i002i−2i0000000000000000
χ412-2-2-222-220000-22-22-22-220000-22002-2002-2000000000000000000
χ422-2-2-222-220000-22-22-22-220000-2200-2200-22000000000000000000
χ432-2-2-222-220000-22-2-22-22200002-2002-200-22000000000000000000
χ442-2-2-222-220000-22-2-22-22200002-200-22002-2000000000000000000
χ4544-44-4-4-444-4-440000000000000000000000000000000000000000
χ4644-44-4-4-44-444-40000000000000000000000000000000000000000
χ474-444-44-4-400000004-4-44000000000000000000000000000000000
χ484-444-44-4-40000000-444-4000000000000000000000000000000000
χ494-44-4-4-444000000000000004i−4i0000000000000000000000000000
χ504-44-4-4-44400000000000000−4i4i0000000000000000000000000000
χ514-4-444-44-400004-4-40000400000000000000000000000000000000
χ524-4-444-44-40000-4440000-400000000000000000000000000000000

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