Finite Group Databasebeta

← Group #10900898

Character table — Group #10900898

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222222444444668888888888881212121616161616161616161616161616162424242424242424484848
order12222222223666666666222244444412121212222444661212121212121212121222444444444
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1
χ311111111111111111111111-1-1-1111-111111111-1-11-1-11-1-111-1-1-1-11-1-1-11-1111-1-1
χ411111111111111111111111-1-1-1-1-11-1-1-1-1-1111-1111-1-11-1-1-1-111111-1-1-11-1-1-1-111
χ51111111111111111111111-11-1-111-111111111-11-1-11-1-11-1-1-111-1-1-11-1-1-1111-11-1
χ61111111111111111111111-11-1-1-1-1-11-1-1-1-11111-11-11-1-11-111-1-111-11-1-1-11-1-11-11
χ71111111111111111111111-1-11111-1-11111111-1-11-1-11-1-11-1-1-1-111-1-111-1-111-1-11
χ81111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-11-1-111111-1-1-1-111-1-1-1-111-1
χ911111111111111111111-1-1111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ1111111111111111111111-1-11-1-1-1111-11111-1-1-11-1-11-1-11-1-111-1-1-1-1-1111-11-1-1-111
χ1211111111111111111111-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-11111-1-1
χ1311111111111111111111-1-1-11-1-111-111111-1-1-1-11-1-11-1-11-1-1-111-1-11-1111-1-1-11-11
χ1411111111111111111111-1-1-11-1-1-1-1-11-1-1-1-1-1-1-11-11-11-1-11-111-1-1111-1111-111-11-1
χ1511111111111111111111-1-1-1-11111-1-11111-1-1-1-1-11-1-11-1-11-1-1-1-11111-1-111-1-111-1
χ1611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111111-1-111-1-11111-1-11
χ172222222222-1-1-1-1-1-1-1-1-1-10022222222-1-1-1-1000222-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ182222222222-1-1-1-1-1-1-1-1-1-1002222-2-2221111000-2-2-2-1-1-1-1-1-111111100000000000
χ192222222222-1-1-1-1-1-1-1-1-1-1002-2-2-2222-2-1-1-1-10002-2-2-111-111-1-1111100000000000
χ202222222222-1-1-1-1-1-1-1-1-1-1002-2-2-2-2-22-21111000-222-111-11111-1-1-1-100000000000
χ212222222222-1-1-1-1-1-1-1-1-1-100-22-2-222-22-1-1-1-1000-22-21-111-1111-1-11100000000000
χ222222222222-1-1-1-1-1-1-1-1-1-100-22-2-2-2-2-2211110002-221-111-11-1-111-1-100000000000
χ232222222222-1-1-1-1-1-1-1-1-1-100-2-22222-2-2-1-1-1-1000-2-2211-111-11111-1-100000000000
χ242222222222-1-1-1-1-1-1-1-1-1-100-2-222-2-2-2-2111100022-211-111-1-1-1-1-11100000000000
χ2522222-2-22-2-222222-2-22-2-222002-2000000002-2-200000200-2000000002-20000000
χ2622222-2-22-2-222222-2-22-2-22200-22000000002-2-200000-200200000000-220000000
χ2722222-2-22-2-222222-2-22-2-2-2-2002-200000000-22200000200-200000000-220000000
χ2822222-2-22-2-222222-2-22-2-2-2-200-2200000000-22200000-2002000000002-20000000
χ292222-22-2-22-22222-22-2-22-2220200000-20000-22-20000200-2000000002000-200000
χ302222-22-2-22-22222-22-2-22-2220-20000020000-22-20000-200200000000-2000200000
χ312222-22-2-22-22222-22-2-22-2-2-20200000-200002-220000200-200000000-2000200000
χ322222-22-2-22-22222-22-2-22-2-2-20-200000200002-220000-2002000000002000-200000
χ332222-2-22-2-222222-2-22-2-2222200000-200000-2-22000200-2000000002000-2000000
χ342222-2-22-2-222222-2-22-2-2222-200000200000-2-22000-200200000000-20002000000
χ352222-2-22-2-222222-2-22-2-22-2-2200000-20000022-2000200-200000000-20002000000
χ362222-2-22-2-222222-2-22-2-22-2-2-20000020000022-2000-2002000000002000-2000000
χ3744444-4-44-4-4-2-2-2-2-222-22200004-40000000000000000-200200000000000000000
χ3844444-4-44-4-4-2-2-2-2-222-2220000-440000000000000000200-200000000000000000
χ394444-44-4-44-4-2-2-2-22-222-22000400000-400000000000-2002000000000000000000
χ404444-44-4-44-4-2-2-2-22-222-22000-400000400000000000200-2000000000000000000
χ414444-4-44-4-44-2-2-2-222-222-200400000-400000000000-20020000000000000000000
χ424444-4-44-4-44-2-2-2-222-222-200-400000400000000000200-20000000000000000000
χ4344-4-400000044-4-40000004-400002i−2i002i2i−2i−2i0000000000000000000000002i−2i000
χ4444-4-400000044-4-40000004-40000−2i2i00−2i−2i2i2i000000000000000000000000−2i2i000
χ4544-4-400000044-4-4000000-4400002i−2i002i2i−2i−2i000000000000000000000000−2i2i000
χ4644-4-400000044-4-4000000-440000−2i2i00−2i−2i2i2i0000000000000000000000002i−2i000
χ474-4-44444-4-4-44-44-4-4-4-44440000000000000000000000000000000000000000000
χ484-4-44444-4-4-4-22-22222-2-2-2000000000000000000000000000000−2i32i300000000000
χ494-4-44444-4-4-4-22-22222-2-2-20000000000000000000000000000002i3−2i300000000000
χ504-4-444-4-4-4444-44-4-4444-4-40000000000000000000000000000000000000000000
χ514-4-444-4-4-444-22-222-2-2-222000000000023−2323−2300000000000000000000000000000
χ524-4-444-4-4-444-22-222-2-2-2220000000000−2323−232300000000000000000000000000000
χ534-4-44-44-44-444-44-44-44-44-40000000000000000000000000000000000000000000
χ544-4-44-44-44-44-22-22-22-22-220000000000000000000000000023−23000000000000000
χ554-4-44-44-44-44-22-22-22-22-2200000000000000000000000000−2323000000000000000
χ564-4-44-4-4444-44-44-444-4-4-440000000000000000000000000000000000000000000
χ574-4-44-4-4444-4-22-22-2-2222-2000000000000000000000000000023−230000000000000
χ584-4-44-4-4444-4-22-22-2-2222-20000000000000000000000000000−23230000000000000
χ5988-8-8000000-4-4440000000000004i−4i00−2i−2i2i2i00000000000000000000000000000
χ6088-8-8000000-4-444000000000000−4i4i002i2i−2i−2i00000000000000000000000000000
χ618-88-80000008-8-880000000000000000000000000000000000000000000000000
χ628-88-8000000-444-40000000000000000−2i32i32i3−2i300000000000000000000000000000
χ638-88-8000000-444-400000000000000002i3−2i3−2i32i300000000000000000000000000000

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