Finite Group Databasebeta

← Group #11869470

Character table — Group #11869470

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12224444233666666121212126666121212121212222244444444444422441212121212121212288888888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-11111-1-1-1-111111-1-1-1-11-11-1
χ6111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11-111111-1-1-1-11-1-1-1-11111-11-11
χ7111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-1-1-1-1-111111-1-1-1-111111-11-1
χ8111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11-1-1-1-1111111111-1-1-1-1-11-11
χ91111-1-111-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-111-1-111-1-111-1-1
χ101111-1-111-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-111
χ111111-1-111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-111-1-11111-1-1
χ121111-1-111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-111-1-1-1-111
χ131111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-2-2222222222222-2-2-2-222-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-222-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-22222-2-2-2-2-2-2222200000000-2-2-2-20000000000002000000000000
χ2122-2-22i−2i000222-2-22-2-22i2i−2i−2i00002i−2i000022-2-2000000002i−2i0000000000000002−2i2−i22−2i2−i20000
χ2222-2-22i−2i000222-2-22-2-22i2i−2i−2i00002i−2i000022-2-2000000002i−2i000000000000000−22−i2i2−22−i2i20000
χ2322-2-22i−2i000222-2-22-2-22i2i−2i−2i00002i−2i0000-2-22200000000−2i2i0000000000000002−2i2−i2−22−i2i20000
χ2422-2-22i−2i000222-2-22-2-22i2i−2i−2i00002i−2i0000-2-22200000000−2i2i000000000000000−22−i2i22−2i2−i20000
χ2522-2-2−2i2i000222-2-22-2-2−2i−2i2i2i0000−2i2i000022-2-200000000−2i2i0000000000000002−2−i2i22−2−i2i20000
χ2622-2-2−2i2i000222-2-22-2-2−2i−2i2i2i0000−2i2i000022-2-200000000−2i2i000000000000000−22i2−i2−22i2−i20000
χ2722-2-2−2i2i000222-2-22-2-2−2i−2i2i2i0000−2i2i0000-2-222000000002i−2i0000000000000002−2−i2i2−22i2−i20000
χ2822-2-2−2i2i000222-2-22-2-2−2i−2i2i2i0000−2i2i0000-2-222000000002i−2i000000000000000−22i2−i22−2−i2i20000
χ292-22-2002-2022-222-2-2-2000000000022-2-22-22-200002i−2i2i−2i002-20000002i−2i002i−2i0000000000000
χ302-22-2002-2022-222-2-2-2000000000022-2-22-22-20000−2i2i−2i2i002-2000000−2i2i00−2i2i0000000000000
χ312-22-2002-2022-222-2-2-2000000000022-2-2-22-222i−2i2i−2i000000-2200002i−2i002i−2i000000000000000
χ322-22-2002-2022-222-2-2-2000000000022-2-2-22-22−2i2i−2i2i000000-220000−2i2i00−2i2i000000000000000
χ332-22-200-22022-222-2-2-20000000000-2-2222-22-22i−2i−2i2i000000-2200002i−2i00−2i2i000000000000000
χ342-22-200-22022-222-2-2-20000000000-2-2222-22-2−2i2i2i−2i000000-220000−2i2i002i−2i000000000000000
χ352-22-200-22022-222-2-2-20000000000-2-222-22-2200002i−2i−2i2i002-20000002i−2i00−2i2i0000000000000
χ362-22-200-22022-222-2-2-20000000000-2-222-22-220000−2i2i2i−2i002-2000000−2i2i002i−2i0000000000000
χ374444444441-2-21-211-2111111-2-2-2-21-21-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ384444444441-2-21-211-2111111-2-2-2-21-21-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ39444444444-211-21-2-21-2-2-2-2-2-21111-21-210000000000000000222200000000000000000-1-1-1-1
χ40444444444-211-21-2-21-2-2-2-2-2-21111-21-210000000000000000-2-2-2-2000000000000000001111
χ41444444-4-4-41-2-21-211-21111-1-122-2-2-12-12000022-2-222-2-200000000-1-1-1-111110000000000000
χ42444444-4-4-41-2-21-211-21111-1-122-2-2-12-120000-2-222-2-222000000001111-1-1-1-10000000000000
χ43444444-4-4-4-211-21-2-21-2-2-2-222-1-1112-12-100000000000000002-22-200000000000000000-11-11
χ44444444-4-4-4-211-21-2-21-2-2-2-222-1-1112-12-10000000000000000-22-22000000000000000001-11-1
χ454444-4-444-41-2-21-211-2-1-1-1-1-1-122221-21-200002222-2-2-2-200000000-1-111-1-1110000000000000
χ464444-4-444-41-2-21-211-2-1-1-1-1-1-122221-21-20000-2-2-2-222220000000011-1-111-1-10000000000000
χ474444-4-444-4-211-21-2-21222222-1-1-1-1-21-21000000000000000022-2-200000000000000000-1-111
χ484444-4-444-4-211-21-2-21222222-1-1-1-1-21-210000000000000000-2-2220000000000000000011-1-1
χ494444-4-4-4-441-2-21-211-2-1-1-1-111-2-222-12-12000022-2-2-2-22200000000-1-11111-1-10000000000000
χ504444-4-4-4-441-2-21-211-2-1-1-1-111-2-222-12-120000-2-22222-2-20000000011-1-1-1-1110000000000000
χ514444-4-4-4-44-211-21-2-212222-2-211-1-12-12-100000000000000002-2-2200000000000000000-111-1
χ524444-4-4-4-44-211-21-2-212222-2-211-1-12-12-10000000000000000-222-2000000000000000001-1-11
χ534-44-4004-401-221-2-1-123-33-33-300001-2-1200002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000000
χ544-44-4004-401-221-2-1-123-33-33-300001-2-120000−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000000
χ554-44-4004-401-221-2-1-12-33-33-3300001-2-1200002i−2i2i−2i−2i2i−2i2i00000000−iii−i−iii−i0000000000000
χ564-44-4004-401-221-2-1-12-33-33-3300001-2-120000−2i2i−2i2i2i−2i2i−2i00000000i−i−iii−i−ii0000000000000
χ574-44-400-4401-221-2-1-123-33-3-330000-121-200002i−2i−2i2i2i−2i−2i2i00000000−ii−iii−ii−i0000000000000
χ584-44-400-4401-221-2-1-123-33-3-330000-121-20000−2i2i2i−2i−2i2i2i−2i00000000i−ii−i−ii−ii0000000000000
χ594-44-400-4401-221-2-1-12-33-333-30000-121-200002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii0000000000000
χ604-44-400-4401-221-2-1-12-33-333-30000-121-20000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i0000000000000
χ614-4-440000044-4-4-4-444000000000000004-4-440000000000000000000000000000000000000
χ624-4-440000044-4-4-4-44400000000000000-444-40000000000000000000000000000000000000
χ6388-8-88i−8i0002-4-4-242-242i2i−2i−2i0000−4i4i000000000000000000000000000000000000000000000
χ6488-8-88i−8i000-4224-2-44-2−4i−4i4i4i00002i−2i000000000000000000000000000000000000000000000
χ6588-8-8−8i8i0002-4-4-242-24−2i−2i2i2i00004i−4i000000000000000000000000000000000000000000000
χ6688-8-8−8i8i000-4224-2-44-24i4i−4i−4i0000−2i2i000000000000000000000000000000000000000000000
χ678-88-8008-80-42-2-4244-20000000000-424-200000000000000000000000000000000000000000
χ688-88-800-880-42-2-4244-200000000004-2-4200000000000000000000000000000000000000000
χ698-8-88000002-44-24-22-46i−6i−6i6i000000000000000000000000000000000000000000000000000
χ708-8-88000002-44-24-22-4−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ718-8-8800000-42-24-24-420000006-600000000000000000000000000000000000000000000000
χ728-8-8800000-42-24-24-42000000-6600000000000000000000000000000000000000000000000

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