Finite Group Databasebeta

← Group #11870693

Character table — Group #11870693

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order1222444423366666612121212666612121212121244442244444444442444661212121212124888888886121212
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
χ5111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-111-1-1-1-11111111-1-1-1-111-1-1
χ6111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1111-1-1-1-1111-1-1-1-11111-1-111
χ7111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1-11111-1-11-1-1-1-1111111-1-1
χ8111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-11111-1-111111-1-1-1-1-1-111
χ91111-1-111-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111-1-111111-1-1-1-1-111-1-111-1-11-11-1
χ101111-1-111-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-111-11111-1-1-1-1-1-1-111-1-111-11-11
χ111111-1-111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111-1-11-1-1-1-11111-1-1-111-1-1111-11-1
χ121111-1-111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-111-1-1-1-1-11111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-111-1-1-1-111-111-1
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
χ212-22-2002i−2i02222-2-2-2-200000000002i2i−2i−2i2i2i−2i−2i002i−2i002-2002-2000000002-22i−2i0000000000000
χ222-22-2002i−2i02222-2-2-2-200000000002i2i−2i−2i2i2i−2i−2i00−2i2i00-22002-200000000-22−2i2i0000000000000
χ232-22-2002i−2i02222-2-2-2-200000000002i2i−2i−2i−2i−2i2i2i2-2002i−2i0000-2200002-22i−2i00000000000000000
χ242-22-2002i−2i02222-2-2-2-200000000002i2i−2i−2i−2i−2i2i2i-2200−2i2i0000-220000-22−2i2i00000000000000000
χ252-22-200−2i2i02222-2-2-2-20000000000−2i−2i2i2i2i2i−2i−2i2-200−2i2i0000-2200002-2−2i2i00000000000000000
χ262-22-200−2i2i02222-2-2-2-20000000000−2i−2i2i2i2i2i−2i−2i-22002i−2i0000-220000-222i−2i00000000000000000
χ272-22-200−2i2i02222-2-2-2-20000000000−2i−2i2i2i−2i−2i2i2i002i−2i00-22002-200000000-222i−2i0000000000000
χ282-22-200−2i2i02222-2-2-2-20000000000−2i−2i2i2i−2i−2i2i2i00−2i2i002-2002-2000000002-2−2i2i0000000000000
χ292-2-222i−2i00022-2-222-2-22i2i−2i−2i00002i−2i00002-22-2000000002i−2i0000000000000002−2i2−i22−2i2−i20000
χ302-2-222i−2i00022-2-222-2-22i2i−2i−2i00002i−2i00002-22-2000000002i−2i000000000000000−22−i2i2−22−i2i20000
χ312-2-222i−2i00022-2-222-2-22i2i−2i−2i00002i−2i0000-22-2200000000−2i2i0000000000000002−2i2−i2−22−i2i20000
χ322-2-222i−2i00022-2-222-2-22i2i−2i−2i00002i−2i0000-22-2200000000−2i2i000000000000000−22−i2i22−2i2−i20000
χ332-2-22−2i2i00022-2-222-2-2−2i−2i2i2i0000−2i2i00002-22-200000000−2i2i0000000000000002−2−i2i22−2−i2i20000
χ342-2-22−2i2i00022-2-222-2-2−2i−2i2i2i0000−2i2i00002-22-200000000−2i2i000000000000000−22i2−i2−22i2−i20000
χ352-2-22−2i2i00022-2-222-2-2−2i−2i2i2i0000−2i2i0000-22-22000000002i−2i0000000000000002−2−i2i2−22i2−i20000
χ362-2-22−2i2i00022-2-222-2-2−2i−2i2i2i0000−2i2i0000-22-22000000002i−2i000000000000000−22i2−i22−2−i2i20000
χ374444444441-21-21-21-2111111-2-2-2-21-21-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ384444444441-21-21-21-2111111-2-2-2-21-21-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ39444444444-21-21-21-21-2-2-2-2-2-21111-21-210000000000000000222200000000000000000-1-1-1-1
χ40444444444-21-21-21-21-2-2-2-2-2-21111-21-210000000000000000-2-2-2-2000000000000000001111
χ41444444-4-4-41-21-21-21-21111-1-122-2-2-12-1200002222-2-2-2-200000000-1-11111-1-10000000000000
χ42444444-4-4-41-21-21-21-21111-1-122-2-2-12-120000-2-2-2-222220000000011-1-1-1-1110000000000000
χ43444444-4-4-4-21-21-21-21-2-2-2-222-1-1112-12-100000000000000002-22-200000000000000000-1-111
χ44444444-4-4-4-21-21-21-21-2-2-2-222-1-1112-12-10000000000000000-22-220000000000000000011-1-1
χ454444-4-444-41-21-21-21-2-1-1-1-1-1-122221-21-2000022-2-222-2-200000000-1-1-1-111110000000000000
χ464444-4-444-41-21-21-21-2-1-1-1-1-1-122221-21-20000-2-222-2-222000000001111-1-1-1-10000000000000
χ474444-4-444-4-21-21-21-21222222-1-1-1-1-21-2100000000000000002-2-2200000000000000000-11-11
χ484444-4-444-4-21-21-21-21222222-1-1-1-1-21-210000000000000000-222-2000000000000000001-11-1
χ494444-4-4-4-441-21-21-21-2-1-1-1-111-2-222-12-12000022-2-2-2-22200000000-1-111-1-1110000000000000
χ504444-4-4-4-441-21-21-21-2-1-1-1-111-2-222-12-120000-2-22222-2-20000000011-1-111-1-10000000000000
χ514444-4-4-4-44-21-21-21-212222-2-211-1-12-12-1000000000000000022-2-200000000000000000-111-1
χ524444-4-4-4-44-21-21-21-212222-2-211-1-12-12-10000000000000000-2-222000000000000000001-1-11
χ5344-4-40000044-4-4-4-444000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ5444-4-40000044-4-4-4-44400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-44-4004i−4i01-21-2-12-123i−3i3i−3i3-30000i−2i−i2i00002-22i−2i2i−2i2-200000000-11−ii-11−ii0000000000000
χ564-44-4004i−4i01-21-2-12-123i−3i3i−3i3-30000i−2i−i2i0000-22−2i2i−2i2i-22000000001-1i−i1-1i−i0000000000000
χ574-44-4004i−4i01-21-2-12-12−3i3i−3i3i-330000i−2i−i2i00002-2−2i2i2i−2i-2200000000-11−ii1-1i−i0000000000000
χ584-44-4004i−4i01-21-2-12-12−3i3i−3i3i-330000i−2i−i2i0000-222i−2i−2i2i2-2000000001-1i−i-11−ii0000000000000
χ594-44-400−4i4i01-21-2-12-123i−3i3i−3i-330000−i2ii−2i00002-22i−2i−2i2i-2200000000-11i−i1-1−ii0000000000000
χ604-44-400−4i4i01-21-2-12-123i−3i3i−3i-330000−i2ii−2i0000-22−2i2i2i−2i2-2000000001-1−ii-11i−i0000000000000
χ614-44-400−4i4i01-21-2-12-12−3i3i−3i3i3-30000−i2ii−2i00002-2−2i2i−2i2i2-200000000-11i−i-11i−i0000000000000
χ624-44-400−4i4i01-21-2-12-12−3i3i−3i3i3-30000−i2ii−2i0000-222i−2i2i−2i-22000000001-1−ii1-1−ii0000000000000
χ6388-8-8000002-4-24-242-46-6-66000000000000000000000000000000000000000000000000000
χ6488-8-8000002-4-24-242-4-666-6000000000000000000000000000000000000000000000000000
χ6588-8-800000-424-24-2-420000006-600000000000000000000000000000000000000000000000
χ6688-8-800000-424-24-2-42000000-6600000000000000000000000000000000000000000000000
χ678-88-8008i−8i0-42-424-24-20000000000−4i2i4i−2i00000000000000000000000000000000000000000
χ688-88-800−8i8i0-42-424-24-200000000004i−2i−4i2i00000000000000000000000000000000000000000
χ698-8-888i−8i0002-4-242-4-242i2i−2i−2i0000−4i4i000000000000000000000000000000000000000000000
χ708-8-888i−8i000-424-2-424-2−4i−4i4i4i00002i−2i000000000000000000000000000000000000000000000
χ718-8-88−8i8i0002-4-242-4-24−2i−2i2i2i00004i−4i000000000000000000000000000000000000000000000
χ728-8-88−8i8i000-424-2-424-24i4i−4i−4i0000−2i2i000000000000000000000000000000000000000000000

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