Finite Group Databasebeta

← Group #28317

Character table — Group #28317

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
χ5111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1
χ911111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1311111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1-11
χ17222222222222-2-2-2-2-2-222-2-222-2-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-222-2-22200000000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000
χ21222-2-2-2-22000022-2-20000002i−2i2i−2i002i−2i002-2000000000000
χ22222-2-2-2-22000022-2-20000002i−2i2i−2i00−2i2i00-22000000000000
χ23222-2-2-2-22000022-2-2000000−2i2i−2i2i002i−2i00-22000000000000
χ24222-2-2-2-22000022-2-2000000−2i2i−2i2i00−2i2i002-2000000000000
χ25222-2-2-2-220000-2-2220000002i−2i−2i2i2-2002i−2i00000000000000
χ26222-2-2-2-220000-2-2220000002i−2i−2i2i-2200−2i2i00000000000000
χ27222-2-2-2-220000-2-222000000−2i2i2i−2i2-200−2i2i00000000000000
χ28222-2-2-2-220000-2-222000000−2i2i2i−2i-22002i−2i00000000000000
χ292-2-22-2-22222-2-22-22-22-2000000000000000000002-22-20000
χ302-2-22-2-22222-2-22-22-22-200000000000000000000-22-220000
χ312-2-22-2-22222-2-2-22-22-2200000000000000002-22-200000000
χ322-2-22-2-22222-2-2-22-22-220000000000000000-22-2200000000
χ332-2-22-2-222-2-2222-22-2-22000000000000000000002-2-220000
χ342-2-22-2-222-2-2222-22-2-2200000000000000000000-222-20000
χ352-2-22-2-222-2-222-22-222-200000000000000002-2-2200000000
χ362-2-22-2-222-2-222-22-222-20000000000000000-222-200000000
χ3744-444-4-4-40000000000004-4000000000000000000000000
χ3844-444-4-4-4000000000000-44000000000000000000000000
χ3944-4-4-444-44i−4i4i−4i0000000000000000000000000000000000
χ4044-4-4-444-4−4i4i−4i4i0000000000000000000000000000000000
χ414-444-44-4-400000000004-400000000000000000000000000
χ424-444-44-4-40000000000-4400000000000000000000000000
χ434-44-44-44-44i−4i−4i4i0000000000000000000000000000000000
χ444-44-44-44-4−4i4i4i−4i0000000000000000000000000000000000
χ454-4-4-444-4400004-4-44000000000000000000000000000000
χ464-4-4-444-440000-444-4000000000000000000000000000000

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