Finite Group Databasebeta

← Group #11790732

Character table — Group #11790732

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888888899991616161616161616181836363636363636363636727272727272
order12224433446666664412121212121212121212121222221212121212121212444488888888444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
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
χ911111111-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1011111111-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1111-1-11-11
χ1111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ1211111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i
χ1311111111-1-1111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-111-1-1-11-11-11
χ1411111111-1-1111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-111-11-1
χ1511111111-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i
χ1611111111-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1i−i−ii
χ172222-2-2222-2222222002222-2-2-2-2-2-2-2-2222200000000-2-22-200000000000000
χ182222-2-2222-2222222002222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2200000000000000
χ192222-2-222-2222222200-2-2-2-22222-2-2-2-2222200000000-2-2-2200000000000000
χ202222-2-222-2222222200-2-2-2-22222-2-2-2-2-2-2-2-200000000222-200000000000000
χ212-2-222-22200-2-2-2-222000000000022-2-222-2-2000000002-200002i−2i002i−2i000000
χ222-2-222-22200-2-2-2-222000000000022-2-222-2-2000000002-20000−2i2i00−2i2i000000
χ232-2-222-22200-2-2-2-222000000000022-2-2-2-22200000000-2200002-200-22000000
χ242-2-222-22200-2-2-2-222000000000022-2-2-2-22200000000-220000-22002-2000000
χ252-2-22-222200-2-2-2-2220000000000-2-22222-2-200000000-22002i−2i002i−2i00000000
χ262-2-22-222200-2-2-2-2220000000000-2-22222-2-200000000-2200−2i2i00−2i2i00000000
χ272-2-22-222200-2-2-2-2220000000000-2-222-2-222000000002-2002-200-2200000000
χ282-2-22-222200-2-2-2-2220000000000-2-222-2-222000000002-200-22002-200000000
χ294444441-24411-2-21-24411-2-211-2-21-21-2000011-2-211-2-2000000000000000000
χ304444441-24411-2-21-2-4-411-2-211-2-21-21-20000-1-122-1-122000000000000000000
χ314444441-2-4-411-2-21-24-4-1-122-1-1221-21-2000011-2-2-1-122000000000000000000
χ324444441-2-4-411-2-21-2-44-1-122-1-1221-21-20000-1-12211-2-2000000000000000000
χ33444444-2144-2-211-2144-2-211-2-211-21-210000-2-211-2-211000000000000000000
χ34444444-2144-2-211-21-4-4-2-211-2-211-21-21000022-1-122-1-1000000000000000000
χ35444444-21-4-4-2-211-214-422-1-122-1-1-21-210000-2-21122-1-1000000000000000000
χ36444444-21-4-4-2-211-21-4422-1-122-1-1-21-21000022-1-1-2-211000000000000000000
χ374444-4-41-24-411-2-21-20011-2-2-1-122-12-1200003-3003-300000000000000000000
χ384444-4-41-24-411-2-21-20011-2-2-1-122-12-120000-3300-3300000000000000000000
χ394444-4-41-2-4411-2-21-200-1-12211-2-2-12-1200003-300-3300000000000000000000
χ404444-4-41-2-4411-2-21-200-1-12211-2-2-12-120000-33003-300000000000000000000
χ414444-4-4-214-4-2-211-2100-2-21122-1-12-12-10000003-3003-3000000000000000000
χ424444-4-4-214-4-2-211-2100-2-21122-1-12-12-1000000-3300-33000000000000000000
χ434444-4-4-21-44-2-211-210022-1-1-2-2112-12-10000003-300-33000000000000000000
χ444444-4-4-21-44-2-211-210022-1-1-2-2112-12-1000000-33003-3000000000000000000
χ4544-4-40044004-44-4-4-4000000000000004-44-400000000000000000000000000
χ4644-4-40044004-44-4-4-400000000000000-44-4400000000000000000000000000
χ474-44-4004400-44-44-4-4000000000000004-4-4400000000000000000000000000
χ484-44-4004400-44-44-4-400000000000000-444-400000000000000000000000000
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
χ538-88-8002-400-224-4-240000006-6000000000000000000000000000000000000
χ548-88-8002-400-224-4-24000000-66000000000000000000000000000000000000
χ558-88-800-42004-4-224-2000000006-60000000000000000000000000000000000
χ568-88-800-42004-4-224-200000000-660000000000000000000000000000000000
χ578-8-888-82-400-2-2442-400000000002-4-24000000000000000000000000000000
χ588-8-888-8-420044-2-2-420000000000-424-2000000000000000000000000000000
χ598-8-88-882-400-2-2442-40000000000-242-4000000000000000000000000000000
χ608-8-88-88-420044-2-2-4200000000004-2-42000000000000000000000000000000

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