Finite Group Databasebeta

← Group #10826506

Character table — Group #10826506

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222222222244444444444488888888888888888888888121212121616161616161616242424242424242424244848
order122223444461212224444666121212244668888121212121212242424242424242422444461212121212222244444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ511111111111111111-1-1111111-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ611111111111111111-1-1111111-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111-1-1111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1
χ91111111111111-1-1-1-111111111-1-11-1-111-1-1-1-111111111-1-1-1-111111-1-1-111-1-1-1-11-1-1-11-1111-1
χ101111111111111-1-1-1-111111111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1111-11-1-1-11
χ111111111111111-1-1-1-111111111-1-11-1-1-1-111-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-11-1-1-1111-11
χ121111111111111-1-1-1-111111111-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111111-1111-1-1-11-1
χ131111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-11-1111-1-1-1-11
χ141111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-11-1-1-11111-1
χ151111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1111-11-1-11-1
χ161111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1111-1-1-11-111-11
χ17222222-2-2-2-22-2-22-22-200222-2-2-20002-200002-200000000000000000000000000002-2002-200
χ18222222-2-2-2-22-2-22-22-200222-2-2-20002-200002-20000000000000000000000000000-2200-2200
χ19222222-2-2-2-22-2-2-22-2200222-2-2-2000-220000-2200000000000000000000000000002-200-2200
χ20222222-2-2-2-22-2-2-22-2200222-2-2-2000-220000-220000000000000000000000000000-22002-200
χ2122222-12222-1-1-1222222-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1000000000000
χ2222222-12222-1-1-1222222-1-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1111111110000-2-2-1-11111000000000000
χ2322222-12222-1-1-12222-2-2-1-1-1-1-1-1-2-2-2-1-12222-1-11111-1-1-1-1-1-1-1-10000-2-2111111000000000000
χ2422222-12222-1-1-12222-2-2-1-1-1-1-1-1-2-2-2-1-1-2-2-2-2-1-111111111111100002211-1-1-1-1000000000000
χ2522222-12222-1-1-1-2-2-2-222-1-1-1-1-1-1-2-221122-2-211-1-1-1-1-1-1-1-1111100002-211-1-111000000000000
χ2622222-12222-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2211-2-22211-1-1-1-11111-1-1-1-10000-221111-1-1000000000000
χ2722222-12222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-21122-2-2111111-1-1-1-111110000-22-1-111-1-1000000000000
χ2822222-12222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-211-2-2221111111111-1-1-1-100002-2-1-1-1-111000000000000
χ29222-2-22-222-22220000002-2-22-2-200000002-2000000000022-2-22-22-2000000000002000-20000
χ30222-2-22-222-22220000002-2-22-2-200000002-2000000000022-2-2-22-2200000000000-200020000
χ31222-2-22-222-22220000002-2-22-2-20000000-220000000000-2-2222-22-200000000000-200020000
χ32222-2-22-222-22220000002-2-22-2-20000000-220000000000-2-222-22-22000000000002000-20000
χ3322-22-22-22-22222000000-22-2-22-2000002-20000000022-2-200002-2-2200000000002000-200000
χ3422-22-22-22-22222000000-22-2-22-2000002-20000000022-2-20000-222-20000000000-2000200000
χ3522-22-22-22-22222000000-22-2-22-200000-2200000000-2-22200002-2-220000000000-2000200000
χ3622-22-22-22-22222000000-22-2-22-200000-2200000000-2-2220000-222-200000000002000-200000
χ3722-2-22222-2-22222-2-2200-2-22-2-220002-20000-2200000000000022-2-2000000002-20000000000
χ3822-2-22222-2-22222-2-2200-2-22-2-220002-20000-22000000000000-2-22200000000-220000000000
χ3922-2-22222-2-2222-222-200-2-22-2-22000-2200002-200000000000022-2-200000000-220000000000
χ4022-2-22222-2-2222-222-200-2-22-2-22000-2200002-2000000000000-2-222000000002-20000000000
χ4122-2-222-2-2222-2-222-2-222-2-2222-2-22-2220000-2-222-2-200000000000000-220000000000000000
χ4222-2-222-2-2222-2-222-2-2-2-2-2-2222-22-22220000-2-2-2-222000000000000002-20000000000000000
χ4322-2-222-2-2222-2-2-2-22222-2-2222-22-2-2-2-200002222-2-2000000000000002-20000000000000000
χ4422-2-222-2-2222-2-2-2-222-2-2-2-2222-2-222-2-2000022-2-22200000000000000-220000000000000000
χ4522-2-22-1-2-222-11122-2-22211-1-1-11-22-2-1-1000011-1-1113−33−33−33−30000001-13−33−3000000000000
χ4622-2-22-1-2-222-11122-2-22211-1-1-11-22-2-1-1000011-1-111−33−33−33−330000001-1−33−33000000000000
χ4722-2-22-1-2-222-11122-2-2-2-211-1-1-112-22-1-100001111-1-13−33−33−33−3000000-11−33−33000000000000
χ4822-2-22-1-2-222-11122-2-2-2-211-1-1-112-22-1-100001111-1-1−33−33−33−33000000-113−33−3000000000000
χ4922-2-22-1-2-222-111-2-2222211-1-1-112-2-2110000-1-1-1-1113−33−3−33−33000000-113−3−33000000000000
χ5022-2-22-1-2-222-111-2-2222211-1-1-112-2-2110000-1-1-1-111−33−333−33−3000000-11−333−3000000000000
χ5122-2-22-1-2-222-111-2-222-2-211-1-1-11-222110000-1-111-1-13−33−3−33−330000001-1−333−3000000000000
χ5222-2-22-1-2-222-111-2-222-2-211-1-1-11-222110000-1-111-1-1−33−333−33−30000001-13−3−33000000000000
χ5344444-2-4-4-4-4-2224-44-400-2-2-2222000-220000-22000000000000000000000000000000000000
χ5444444-2-4-4-4-4-222-44-4400-2-2-22220002-200002-2000000000000000000000000000000000000
χ55444-4-444-4-444-4-40000004-4-4-44400000000000000000000000000000000000000000000000
χ56444-4-4-24-4-44-222000000-2222-2-200000000000000023−23−23230000000000000000000000000000
χ57444-4-4-24-4-44-222000000-2222-2-2000000000000000−232323−230000000000000000000000000000
χ58444-4-4-2-444-4-2-2-2000000-222-22200000004-40000000000-2-222000000000000000000000000
χ59444-4-4-2-444-4-2-2-2000000-222-2220000000-44000000000022-2-2000000000000000000000000
χ6044-44-444-44-44-4-4000000-44-44-4400000000000000000000000000000000000000000000000
χ6144-44-4-24-44-4-2220000002-22-22-2000000000000000000023−23−2323000000000000000000000000
χ6244-44-4-24-44-4-2220000002-22-22-20000000000000000000−232323−23000000000000000000000000
χ6344-44-4-2-44-44-2-2-20000002-222-22000004-400000000-2-2220000000000000000000000000000
χ6444-44-4-2-44-44-2-2-20000002-222-2200000-440000000022-2-20000000000000000000000000000
χ6544-4-44-244-4-4-2-2-24-4-440022-222-2000-2200002-2000000000000000000000000000000000000
χ6644-4-44-244-4-4-2-2-2-444-40022-222-20002-20000-22000000000000000000000000000000000000
χ678-800080000-80000004i−4i000000000000000004i−4i0000000000000000000000000000000000
χ688-800080000-8000000−4i4i00000000000000000−4i4i0000000000000000000000000000000000
χ698-8000-40000443−4300004i−4i00000000000000000−2i2i−2i32i300000000000000000000000000000000
χ708-8000-40000443−430000−4i4i000000000000000002i−2i2i3−2i300000000000000000000000000000000
χ718-8000-400004−434300004i−4i00000000000000000−2i2i2i3−2i300000000000000000000000000000000
χ728-8000-400004−43430000−4i4i000000000000000002i−2i−2i32i300000000000000000000000000000000

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