Finite Group Databasebeta

← Group #24313

Character table — Group #24313

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222224444444444444444444444224444444444448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-11-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-1-11
χ17222222-2-22222-2-222-2-2-2-200000000002-200000000000000
χ18222222-2-22222-2-2-2-222-2-20000000000-2200000000000000
χ19222222-2-2-2-2-2-2-2-222-2-2220000000000-2200000000000000
χ20222222-2-2-2-2-2-2-2-2-2-2222200000000002-200000000000000
χ212222-2-22-222-2-22-200002-20000000000000000002-22-20000
χ222222-2-22-222-2-22-200002-2000000000000000000-22-220000
χ232222-2-22-2-2-2222-20000-220000000000000000002-2-220000
χ242222-2-22-2-2-2222-20000-22000000000000000000-222-20000
χ252222-2-2-2222-2-2-220000-22000000000000002-22-200000000
χ262222-2-2-2222-2-2-220000-2200000000000000-22-2200000000
χ272222-2-2-22-2-222-2200002-2000000000000002-2-2200000000
χ282222-2-2-22-2-222-2200002-200000000000000-222-200000000
χ2922-2-22-2220000-2-22-22-20022-2-200002-20000000000000000
χ3022-2-22-2220000-2-22-22-200-2-2220000-220000000000000000
χ3122-2-22-2220000-2-2-22-220022-2-20000-220000000000000000
χ3222-2-22-2220000-2-2-22-2200-2-22200002-20000000000000000
χ3322-2-22-2-2-20000222-2-220000002i2i−2i−2i00002i−2i000000000000
χ3422-2-22-2-2-20000222-2-22000000−2i−2i2i2i0000−2i2i000000000000
χ3522-2-22-2-2-2000022-222-20000002i2i−2i−2i0000−2i2i000000000000
χ3622-2-22-2-2-2000022-222-2000000−2i−2i2i2i00002i−2i000000000000
χ3744-4-4-444-40000-4400000000000000000000000000000000
χ3844-4-4-44-4400004-400000000000000000000000000000000
χ394-44-40000004-4000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ404-44-40000004-400000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ414-44-4000000-44000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ424-44-4000000-4400000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ434-4-4400004i−4i00000000002i−2i−2i2i2-2-22000000000000000000
χ444-4-4400004i−4i0000000000−2i2i2i−2i-222-2000000000000000000
χ454-4-440000−4i4i00000000002i−2i−2i2i-222-2000000000000000000
χ464-4-440000−4i4i0000000000−2i2i2i−2i2-2-22000000000000000000

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