Finite Group Databasebeta

← Group #11775903

Character table — Group #11775903

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888888888161616161616161618181818181818183636363636363636727272727272
order12224433446666664412121212121212121212121212121212121212122244444488888888448888
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
χ91111-1-1111-11111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-1i−ii−i
χ101111-1-1111-11111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-1−ii−ii
χ111111-1-1111-11111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-11
χ121111-1-1111-11111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-111-1
χ131111-1-1111-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i-11−ii−ii
χ141111-1-1111-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iii-11i−ii−i
χ151111-1-1111-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1
χ161111-1-1111-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-1-11
χ1722222222-2-222222200-2-2-2-2-2-2-2-222220000000022-2-222-2-200000000000000
χ1822222222-2-222222200-2-2-2-2-2-2-2-2222200000000-2-222-2-22200000000000000
χ192222-2-222-2222222200-2-2-2-22222-2-2-2-20000000022-2-2-2-22200000000000000
χ202222-2-222-2222222200-2-2-2-22222-2-2-2-200000000-2-22222-2-200000000000000
χ212-22-22-22200-2-2-2-222000000000022-2-200000000002i−2i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-22-22-22200-2-2-2-222000000000022-2-200000000002i−2i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-22-22-22200-2-2-2-222000000000022-2-20000000000−2i2i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ242-22-22-22200-2-2-2-222000000000022-2-20000000000−2i2i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ252-22-2-222200-2-2-2-2220000000000-2-22200000000002i−2i00−2i2i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000
χ262-22-2-222200-2-2-2-2220000000000-2-22200000000002i−2i00−2i2i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000
χ272-22-2-222200-2-2-2-2220000000000-2-2220000000000−2i2i002i−2i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000
χ282-22-2-222200-2-2-2-2220000000000-2-2220000000000−2i2i002i−2i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000
χ294444441-24411-2-21-24411-2-211-2-21-21-211-2-211-2-20000000000000000000000
χ304444441-24411-2-21-2-4-411-2-211-2-21-21-2-1-122-1-1220000000000000000000000
χ314444441-2-4-411-2-21-200-1-122-1-1221-21-23-3003-3000000000000000000000000
χ324444441-2-4-411-2-21-200-1-122-1-1221-21-2-3300-33000000000000000000000000
χ33444444-2144-2-211-2144-2-211-2-211-21-21-2-211-2-2110000000000000000000000
χ34444444-2144-2-211-21-4-4-2-211-2-211-21-2122-1-122-1-10000000000000000000000
χ35444444-21-4-4-2-211-210022-1-122-1-1-21-21003-3003-30000000000000000000000
χ36444444-21-4-4-2-211-210022-1-122-1-1-21-2100-3300-330000000000000000000000
χ374444-4-41-24-411-2-21-24-411-2-2-1-122-12-1211-2-2-1-1220000000000000000000000
χ384444-4-41-24-411-2-21-2-4411-2-2-1-122-12-12-1-12211-2-20000000000000000000000
χ394444-4-41-2-4411-2-21-200-1-12211-2-2-12-123-300-33000000000000000000000000
χ404444-4-41-2-4411-2-21-200-1-12211-2-2-12-12-33003-3000000000000000000000000
χ414444-4-4-214-4-2-211-214-4-2-21122-1-12-12-1-2-21122-1-10000000000000000000000
χ424444-4-4-214-4-2-211-21-44-2-21122-1-12-12-122-1-1-2-2110000000000000000000000
χ434444-4-4-21-44-2-211-210022-1-1-2-2112-12-1003-300-330000000000000000000000
χ444444-4-4-21-44-2-211-210022-1-1-2-2112-12-100-33003-30000000000000000000000
χ4544-4-40044004-44-4-4-400000000000000000000004-400000000000000000000
χ4644-4-40044004-44-4-4-40000000000000000000000-4400000000000000000000
χ474-4-44004400-44-44-4-4000000000000000000000000004i−4i0000000000000000
χ484-4-44004400-44-44-4-400000000000000000000000000−4i4i0000000000000000
χ4988-8-8002-4002-2-44-24006-60000000000000000000000000000000000000000
χ5088-8-8002-4002-2-44-2400-660000000000000000000000000000000000000000
χ5188-8-800-4200-442-24-200006-600000000000000000000000000000000000000
χ5288-8-800-4200-442-24-20000-6600000000000000000000000000000000000000
χ538-88-88-82-400-2-2442-400000000002-4-24000000000000000000000000000000
χ548-88-88-8-420044-2-2-420000000000-424-2000000000000000000000000000000
χ558-88-8-882-400-2-2442-40000000000-242-4000000000000000000000000000000
χ568-88-8-88-420044-2-2-4200000000004-2-42000000000000000000000000000000
χ578-8-88002-400-224-4-240000006-6000000000000000000000000000000000000
χ588-8-88002-400-224-4-24000000-66000000000000000000000000000000000000
χ598-8-8800-42004-4-224-2000000006-60000000000000000000000000000000000
χ608-8-8800-42004-4-224-200000000-660000000000000000000000000000000000

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