Finite Group Databasebeta

← Group #11876958

Character table — Group #11876958

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222444444444444488888888881818181818182424242424242424242424242424242436363636363636363648484848
order1222444423366666612121212666612121212121244444422444444661212121212124888888886121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-111-1-1-1-111-11111-1-1-1-111-1-1
χ6111111-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1111-111-1-1-1111-1-1-1-111-1-1-1-1-11111-1-111
χ7111111-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-11-1-1111-1-1-11111-1-1-1-1-1-1-1111111-1-1
χ8111111-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1111-11-1-11111-1-1-11111-1-1-1-1-1-111
χ91111-1-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11-1-111111-1-1-1-1-111-1-111-1-11-11-1
χ101111-1-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-111-11-11111-1-1-1-1-1-1-111-1-111-11-11
χ111111-1-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11-11-1-1-1-11111-1-1-111-1-1111-11-1
χ121111-1-111-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-111-1-1-1-1-11111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-11-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1111-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-111111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-2-2-20000000000000000-2000000000000
χ18222222-2-2-2222222222222-2-2-2-222-2-2-2-2-2-222-2-200000000000000002000000000000
χ192222-2-222-222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-22222-2-2-2-2-2-22222-2-20000000000000000-2000000000000
χ212-22-22i−2i0002222-2-2-2-22i2i−2i−2i00002i−2i00002i−2i002-20000000000000000000002-22i−2i0000
χ222-22-22i−2i0002222-2-2-2-22i2i−2i−2i00002i−2i00002i−2i002-2000000000000000000000-22−2i2i0000
χ232-22-22i−2i0002222-2-2-2-22i2i−2i−2i00002i−2i0000−2i2i00-22000000000000000002-22i−2i00000000
χ242-22-22i−2i0002222-2-2-2-22i2i−2i−2i00002i−2i0000−2i2i00-2200000000000000000-22−2i2i00000000
χ252-22-2−2i2i0002222-2-2-2-2−2i−2i2i2i0000−2i2i00002i−2i00-22000000000000000002-2−2i2i00000000
χ262-22-2−2i2i0002222-2-2-2-2−2i−2i2i2i0000−2i2i00002i−2i00-2200000000000000000-222i−2i00000000
χ272-22-2−2i2i0002222-2-2-2-2−2i−2i2i2i0000−2i2i0000−2i2i002-20000000000000000000002-2−2i2i0000
χ282-22-2−2i2i0002222-2-2-2-2−2i−2i2i2i0000−2i2i0000−2i2i002-2000000000000000000000-222i−2i0000
χ294444444441-21-21-21-2111111-2-2-2-211-2-200000020202200-1-1-1-1-1-1-1-10000000000000
χ304444444441-21-21-21-2111111-2-2-2-211-2-2000000-20-20-2-200111111110000000000000
χ31444444444-21-21-21-21-2-2-2-2-2-21111-2-2110000000202002200000000000000000-1-1-1-1
χ32444444444-21-21-21-21-2-2-2-2-2-21111-2-2110000000-20-200-2-2000000000000000001111
χ33444444-4-4-41-21-21-21-21111-1-122-2-2-1-1220000002020-2-200-1-11111-1-10000000000000
χ34444444-4-4-41-21-21-21-21111-1-122-2-2-1-122000000-20-20220011-1-1-1-1110000000000000
χ35444444-4-4-4-21-21-21-21-2-2-2-222-1-11122-1-1000000020-2002-200000000000000000-1-111
χ36444444-4-4-4-21-21-21-21-2-2-2-222-1-11122-1-10000000-20200-220000000000000000011-1-1
χ374444-4-444-41-21-21-21-2-1-1-1-1-1-1222211-2-200000020-202-200-1-1-1-111110000000000000
χ384444-4-444-41-21-21-21-2-1-1-1-1-1-1222211-2-2000000-2020-22001111-1-1-1-10000000000000
χ394444-4-444-4-21-21-21-21222222-1-1-1-1-2-211000000020-200-2200000000000000000-11-11
χ404444-4-444-4-21-21-21-21222222-1-1-1-1-2-2110000000-202002-2000000000000000001-11-1
χ414444-4-4-4-441-21-21-21-2-1-1-1-111-2-222-1-12200000020-20-2200-1-111-1-1110000000000000
χ424444-4-4-4-441-21-21-21-2-1-1-1-111-2-222-1-122000000-20202-20011-1-111-1-10000000000000
χ434444-4-4-4-44-21-21-21-212222-2-211-1-122-1-1000000020200-2-200000000000000000-111-1
χ444444-4-4-4-44-21-21-21-212222-2-211-1-122-1-10000000-20-20022000000000000000001-1-11
χ4544-4-40000044-4-4-4-44400000000000000004i−4i0000000000000000000000000000000
χ4644-4-40000044-4-4-4-4440000000000000000−4i4i0000000000000000000000000000000
χ474-4-44004i−4i01-2-121-2-123i−3i3i−3i3-30000i−i2i−2i00000000000000−i3i33−3−i3i33−30000000000000
χ484-4-44004i−4i01-2-121-2-123i−3i3i−3i3-30000i−i2i−2i00000000000000i3−i3−33i3−i3−330000000000000
χ494-4-44004i−4i01-2-121-2-12−3i3i−3i3i-330000i−i2i−2i00000000000000−i3i33−3i3−i3−330000000000000
χ504-4-44004i−4i01-2-121-2-12−3i3i−3i3i-330000i−i2i−2i00000000000000i3−i3−33−i3i33−30000000000000
χ514-4-44004i−4i044-4-444-4-400000000004i−4i−4i4i00000000000000000000000000000000000
χ524-4-4400−4i4i01-2-121-2-123i−3i3i−3i-330000−ii−2i2i00000000000000−i3i3−33i3−i33−30000000000000
χ534-4-4400−4i4i01-2-121-2-123i−3i3i−3i-330000−ii−2i2i00000000000000i3−i33−3−i3i3−330000000000000
χ544-4-4400−4i4i01-2-121-2-12−3i3i−3i3i3-30000−ii−2i2i00000000000000−i3i3−33−i3i3−330000000000000
χ554-4-4400−4i4i01-2-121-2-12−3i3i−3i3i3-30000−ii−2i2i00000000000000i3−i33−3i3−i33−30000000000000
χ564-4-4400−4i4i044-4-444-4-40000000000−4i4i4i−4i00000000000000000000000000000000000
χ5788-8-8000002-4-24-242-46-6-66000000000000000000000000000000000000000000000
χ5888-8-8000002-4-24-242-4-666-6000000000000000000000000000000000000000000000
χ5988-8-800000-424-24-2-420000006-600000000000000000000000000000000000000000
χ6088-8-800000-424-24-2-42000000-6600000000000000000000000000000000000000000
χ618-88-88i−8i0002-42-4-24-242i2i−2i−2i0000−4i4i000000000000000000000000000000000000000
χ628-88-88i−8i000-42-424-24-2−4i−4i4i4i00002i−2i000000000000000000000000000000000000000
χ638-88-8−8i8i0002-42-4-24-24−2i−2i2i2i00004i−4i000000000000000000000000000000000000000
χ648-88-8−8i8i000-42-424-24-24i4i−4i−4i0000−2i2i000000000000000000000000000000000000000
χ658-8-88008i−8i0-424-2-424-20000000000−4i4i−2i2i00000000000000000000000000000000000
χ668-8-8800−8i8i0-424-2-424-200000000004i−4i2i−2i00000000000000000000000000000000000

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