Finite Group Databasebeta

← Group #10901331

Character table — Group #10901331

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222222444444668888888888881212121616161616161616161616161616162424242424242424484848
order1222222222366666666644222244446666444444661212121212121212121222244444444
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-1-1-111111111-1-11-1-1-11-111-1-1-1-111-1-11-11-11-1-1
χ3111111111111111111111111-11-11-1-11111111-11-1-11-1-1-11-1-111-1-111-1-1-11-11-11-1
χ4111111111111111111111111-1-1-1-1111111111-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11
χ51111111111111111111111-1-1111111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1
χ61111111111111111111111-1-11-11-1-1-1-1-1-1-1111-1111-1-1-11-1-1-11111-1-1-1-11-11-1-111
χ71111111111111111111111-1-1-11-11-1-1-1-1-1-11111-11-11-1-1-1111-1-111-1-1-1-1-11-111-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11111-1-1-1-111-1-1-1-111-1
χ911111111111111111111-1-1111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1111-11-1-1-11111-1-1-11-1-11-1-1-11-111-1-1-1-1-1-111-11-11-111
χ1111111111111111111111-1-111-11-11-1-11111-1-1-1-11-1-11-1-1-11-1-111-1-1-1-1111-11-11-11
χ1211111111111111111111-1-111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1
χ1311111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111
χ1411111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-111111111-11-111-1-1
χ1511111111111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11-11-11-1-1-1111-1-11111111-11-1-11-1
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-11111-1-111-1-11111-1-11
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
χ182222222222-1-1-1-1-1-1-1-1-1-100222-22-2-2-2-1-1-1-10002-2-2-1111-11-1-1111100000000000
χ192222222222-1-1-1-1-1-1-1-1-1-10022-22-22-2-2-1-1-1-1000-22-21-1111-111-1-11100000000000
χ202222222222-1-1-1-1-1-1-1-1-1-10022-2-2-2-222-1-1-1-1000-2-2211-1-1111111-1-100000000000
χ212222222222-1-1-1-1-1-1-1-1-1-100-2-22222221111000-2-2-2-1-1-1-1-1-111111100000000000
χ222222222222-1-1-1-1-1-1-1-1-1-100-2-22-22-2-2-21111000-222-1111-1111-1-1-1-100000000000
χ232222222222-1-1-1-1-1-1-1-1-1-100-2-2-22-22-2-211110002-221-1111-1-1-111-1-100000000000
χ242222222222-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-222111100022-211-1-111-1-1-1-11100000000000
χ2522222-2-22-2-222222-2-22-2-2220000002-200002-2-2000002-20000000000-220000000
χ2622222-2-22-2-222222-2-22-2-222000000-2200002-2-200000-2200000000002-20000000
χ2722222-2-22-2-222222-2-22-2-2-2-20000002-20000-222000002-200000000002-20000000
χ2822222-2-22-2-222222-2-22-2-2-2-2000000-220000-22200000-220000000000-220000000
χ292222-22-2-22-22222-22-2-22-22200020-2000000-22-200002000-200000000000-202000
χ302222-22-2-22-22222-22-2-22-222000-202000000-22-20000-200020000000000020-2000
χ312222-22-2-22-22222-22-2-22-2-2-200020-20000002-2200002000-20000000000020-2000
χ322222-22-2-22-22222-22-2-22-2-2-2000-2020000002-220000-2000200000000000-202000
χ332222-2-22-2-222222-2-22-2-22220020-20000000-2-220002000-200000000000-2020000
χ342222-2-22-2-222222-2-22-2-222200-2020000000-2-22000-200020000000000020-20000
χ352222-2-22-2-222222-2-22-2-22-2-20020-2000000022-20002000-20000000000020-20000
χ362222-2-22-2-222222-2-22-2-22-2-200-202000000022-2000-2000200000000000-2020000
χ3744444-4-44-4-4-2-2-2-2-222-222000000004-4000000000000-220000000000000000000
χ3844444-4-44-4-4-2-2-2-2-222-22200000000-440000000000002-20000000000000000000
χ394444-44-4-44-4-2-2-2-22-222-220000040-40000000000000-2000200000000000000000
χ404444-44-4-44-4-2-2-2-22-222-2200000-40400000000000002000-200000000000000000
χ414444-4-44-4-44-2-2-2-222-222-2000040-40000000000000-20002000000000000000000
χ424444-4-44-4-44-2-2-2-222-222-20000-40400000000000002000-2000000000000000000
χ4344-4-4444-4-4-44-4-44444-4-4-40000000000000000000000000000000000000000000
χ4444-4-4444-4-4-4-222-2-2-2-222200000000000000000000000000000023−2300000000000
χ4544-4-4444-4-4-4-222-2-2-2-2222000000000000000000000000000000−232300000000000
χ4644-4-44-4-4-4444-4-444-4-4-4440000000000000000000000000000000000000000000
χ4744-4-44-4-4-444-222-2-2222-2-20000000000−2i3−2i32i32i300000000000000000000000000000
χ4844-4-44-4-4-444-222-2-2222-2-200000000002i32i3−2i3−2i300000000000000000000000000000
χ4944-4-4-44-44-444-4-44-44-44-440000000000000000000000000000000000000000000
χ5044-4-4-44-44-44-222-22-22-22-200000000000000000000000000−2i32i3000000000000000
χ5144-4-4-44-44-44-222-22-22-22-2000000000000000000000000002i3−2i3000000000000000
χ5244-4-4-4-4444-44-4-44-4-4444-40000000000000000000000000000000000000000000
χ5344-4-4-4-4444-4-222-222-2-2-220000000000000000000000000000−2i32i30000000000000
χ5444-4-4-4-4444-4-222-222-2-2-2200000000000000000000000000002i3−2i30000000000000
χ554-4-4400000044-4-40000004-42-20000002-22-20000000000000000002-2000000000
χ564-4-4400000044-4-40000004-4-22000000-22-22000000000000000000-22000000000
χ574-4-4400000044-4-4000000-442-20000002-22-2000000000000000000-22000000000
χ584-4-4400000044-4-4000000-44-22000000-22-220000000000000000002-2000000000
χ598-88-80000008-88-80000000000000000000000000000000000000000000000000
χ608-88-8000000-44-440000000000000000−2i32i32i3−2i300000000000000000000000000000
χ618-88-8000000-44-4400000000000000002i3−2i3−2i32i300000000000000000000000000000
χ628-8-88000000-4-444000000004-4000000-22-2200000000000000000000000000000
χ638-8-88000000-4-44400000000-440000002-22-200000000000000000000000000000

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