Finite Group Databasebeta

← Group #11878682

Character table — Group #11878682

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888881818181818181818242424242424242436363636363636364848484848484848
order12224433446666661212121212121212121212122244444422222244888888886666661212
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111
χ711111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ811111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ91111-1-1111-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111-11-11-11-111-1-111-1-11-11-11-11-1
χ101111-1-1111-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111-11-1-11-11-1-111-1-111-111-11-1-11
χ111111-1-1111-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-11-111-11-1-1-111-1-1111-1-11-111-1
χ121111-1-1111-1111111-1-11111-1-1-1-1-1-111-1-1-1-111-11-11-11-1111-1-111-1-1-11-11-11-11
χ131111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1111-11-1-11-11
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-111-1-1-11111-1-1-111-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-11-1-11-1-11111-1-11-1-111-1-11
χ161111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-111-1-1-1-111-11-111-11-1
χ172222222222222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2000000000000000000000000
χ192222-2-2222-2222222-2-22222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000
χ202222-2-222-22222222-2-2-2-2-2-22222-2-22222-2-2-2-2000000000000000000000000
χ212-2-222-22200-2-22-2-222-2000000002-22-2002-200000000002−22−22−22−200000000
χ222-2-222-22200-2-22-2-222-2000000002-22-2002-20000000000−22−22−22−2200000000
χ232-2-222-22200-2-22-2-222-2000000002-2-2200-2200000000002−22−2−22−2200000000
χ242-2-222-22200-2-22-2-222-2000000002-2-2200-220000000000−22−222−22−200000000
χ252-2-22-222200-2-22-2-22-2200000000-222-200-2200000000002−2−222−2−2200000000
χ262-2-22-222200-2-22-2-22-2200000000-222-200-220000000000−222−2−222−200000000
χ272-2-22-222200-2-22-2-22-2200000000-22-22002-200000000002−2−22−222−200000000
χ282-2-22-222200-2-22-2-22-2200000000-22-22002-20000000000−222−22−2−2200000000
χ294444441-24411-2-2-21-2-211-2-211-2-211000000000000222200000000-1-10000-1-1
χ304444441-24411-2-2-21-2-211-2-211-2-211000000000000-2-2-2-20000000011000011
χ314444441-2-4-411-2-2-21-2-2-1-122-1-1221100000000000022-2-200000000-1-1000011
χ324444441-2-4-411-2-2-21-2-2-1-122-1-12211000000000000-2-22200000000110000-1-1
χ33444444-2144-2-2111-211-2-211-2-211-2-200000000222200000000000000-1-1-1-100
χ34444444-2144-2-2111-211-2-211-2-211-2-200000000-2-2-2-200000000000000111100
χ35444444-21-4-4-2-2111-21122-1-122-1-1-2-20000000022-2-200000000000000-1-11100
χ36444444-21-4-4-2-2111-21122-1-122-1-1-2-200000000-2-2220000000000000011-1-100
χ374444-4-41-24-411-2-2-212211-2-2-1-122-1-10000000000002-22-200000000-110000-11
χ384444-4-41-24-411-2-2-212211-2-2-1-122-1-1000000000000-22-22000000001-100001-1
χ394444-4-41-2-4411-2-2-2122-1-12211-2-2-1-10000000000002-2-2200000000-1100001-1
χ404444-4-41-2-4411-2-2-2122-1-12211-2-2-1-1000000000000-222-2000000001-10000-11
χ414444-4-4-214-4-2-2111-2-1-1-2-21122-1-122000000002-22-200000000000000-11-1100
χ424444-4-4-214-4-2-2111-2-1-1-2-21122-1-12200000000-22-22000000000000001-11-100
χ434444-4-4-21-44-2-2111-2-1-122-1-1-2-21122000000002-2-2200000000000000-111-100
χ444444-4-4-21-44-2-2111-2-1-122-1-1-2-2112200000000-222-2000000000000001-1-1100
χ4544-4-40044004-4-44-4-40000000000000000004-4000000000000000000000000
χ4644-4-40044004-4-44-4-4000000000000000000-44000000000000000000000000
χ474-44-4004400-44-4-44-4000000000000004-40000000000000000000000000000
χ484-44-4004400-44-4-44-400000000000000-440000000000000000000000000000
χ4988-8-8002-4002-24-44-20000006i−6i000000000000000000000000000000000000
χ5088-8-8002-4002-24-44-2000000−6i6i000000000000000000000000000000000000
χ5188-8-800-4200-44-22-2400006-600000000000000000000000000000000000000
χ5288-8-800-4200-44-22-240000-6600000000000000000000000000000000000000
χ538-88-8002-400-2244-4-2006i−6i0000000000000000000000000000000000000000
χ548-88-8002-400-2244-4-200−6i6i0000000000000000000000000000000000000000
χ558-88-800-42004-4-2-224000000006-60000000000000000000000000000000000
χ568-88-800-42004-4-2-22400000000-660000000000000000000000000000000000
χ578-8-888-82-400-2-2-4442-44000000002-200000000000000000000000000000000
χ588-8-888-8-4200442-2-2-42-200000000-4400000000000000000000000000000000
χ598-8-88-882-400-2-2-44424-400000000-2200000000000000000000000000000000
χ608-8-88-88-4200442-2-2-4-22000000004-400000000000000000000000000000000

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