Finite Group Databasebeta

← Group #11775177

Character table — Group #11775177

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888888888161616161616161618181818181818183636363636363636727272727272
order12224433446666664412121212121212121212121212121212121212122244444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ61111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-111-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-11-11-11-1
χ101111-1-111-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11-11
χ111111-1-111-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-11i−i−ii
χ121111-1-111-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-11−iii−i
χ131111-1-111-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-11-11-11
χ141111-1-111-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-111-11-1
χ151111-1-111-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1ii−i−i−i−iii1-1−iii−i
χ161111-1-111-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−iiiii−i−i1-1i−i−ii
χ1722222222-2-2222222002222-2-2-2-2-2-2-2-20000000022-2-222-2-200000000000000
χ1822222222-2-2222222002222-2-2-2-2-2-2-2-200000000-2-222-2-22200000000000000
χ192222-2-2222-222222200-2-2-2-22222-2-2-2-2000000002222-2-2-2-200000000000000
χ202222-2-2222-222222200-2-2-2-22222-2-2-2-200000000-2-2-2-2222200000000000000
χ212-2-222-2220022-2-2-2-20022-2-20000000000000000002i−2i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-2-222-2220022-2-2-2-20022-2-20000000000000000002i−2i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-2-222-2220022-2-2-2-20022-2-2000000000000000000−2i2i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ242-2-222-2220022-2-2-2-20022-2-2000000000000000000−2i2i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ252-2-22-22220022-2-2-2-200-2-2220000000000000000002i−2i00−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ262-2-22-22220022-2-2-2-200-2-2220000000000000000002i−2i00−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ272-2-22-22220022-2-2-2-200-2-222000000000000000000−2i2i002i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ282-2-22-22220022-2-2-2-200-2-222000000000000000000−2i2i002i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ294444441-2441-21-21-2441-21-211-2-211-2-211-2-211-2-20000000000000000000000
χ304444441-2441-21-21-2-4-41-21-211-2-211-2-2-1-122-1-1220000000000000000000000
χ314444441-2-4-41-21-21-2001-21-2-1-122-1-1223-3003-3000000000000000000000000
χ324444441-2-4-41-21-21-2001-21-2-1-122-1-122-3300-33000000000000000000000000
χ33444444-2144-21-21-2144-21-21-2-211-2-211-2-211-2-2110000000000000000000000
χ34444444-2144-21-21-21-4-4-21-21-2-211-2-21122-1-122-1-10000000000000000000000
χ35444444-21-4-4-21-21-2100-21-2122-1-122-1-1003-3003-30000000000000000000000
χ36444444-21-4-4-21-21-2100-21-2122-1-122-1-100-3300-330000000000000000000000
χ374444-4-41-24-41-21-21-200-12-1211-2-2-1-1223-300-33000000000000000000000000
χ384444-4-41-24-41-21-21-200-12-1211-2-2-1-122-33003-3000000000000000000000000
χ394444-4-41-2-441-21-21-24-4-12-12-1-12211-2-211-2-2-1-1220000000000000000000000
χ404444-4-41-2-441-21-21-2-44-12-12-1-12211-2-2-1-12211-2-20000000000000000000000
χ414444-4-4-214-4-21-21-21002-12-1-2-21122-1-1003-300-330000000000000000000000
χ424444-4-4-214-4-21-21-21002-12-1-2-21122-1-100-33003-30000000000000000000000
χ434444-4-4-21-44-21-21-214-42-12-122-1-1-2-211-2-21122-1-10000000000000000000000
χ444444-4-4-21-44-21-21-21-442-12-122-1-1-2-21122-1-1-2-2110000000000000000000000
χ4544-4-4004400-4-444-4-400000000000000000000004-400000000000000000000
χ4644-4-4004400-4-444-4-40000000000000000000000-4400000000000000000000
χ474-44-4004400-4-4-4-444000000000000000000000000004i−4i0000000000000000
χ484-44-4004400-4-4-4-44400000000000000000000000000−4i4i0000000000000000
χ4988-8-8002-400-242-4-240000006-6000000000000000000000000000000000000
χ5088-8-8002-400-242-4-24000000-66000000000000000000000000000000000000
χ5188-8-800-42004-2-424-2000000006-60000000000000000000000000000000000
χ5288-8-800-42004-2-424-200000000-660000000000000000000000000000000000
χ538-88-8002-400-24-242-400000000006-600000000000000000000000000000000
χ548-88-8002-400-24-242-40000000000-6600000000000000000000000000000000
χ558-88-800-42004-24-2-420000000000006-6000000000000000000000000000000
χ568-88-800-42004-24-2-42000000000000-66000000000000000000000000000000
χ578-8-888-82-4002-4-24-24002-4-2400000000000000000000000000000000000000
χ588-8-888-8-4200-424-24-200-424-200000000000000000000000000000000000000
χ598-8-88-882-4002-4-24-2400-242-400000000000000000000000000000000000000
χ608-8-88-88-4200-424-24-2004-2-4200000000000000000000000000000000000000

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