Finite Group Databasebeta

← Group #11873627

Character table — Group #11873627

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order12224433446666661212121212121212121212122222444444444444888888881212121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ91111-1-1111-1111111-1-111-1-111-1-1-1-1-1-1-1-1111-11-11-11-11-111-1-111-1-11-11-11-11-1
χ101111-1-1111-1111111-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-11-111-1-1-111-1-1111-11-1-11-11
χ111111-1-1111-1111111-1-111-1-111-1-1-1-1-1-1-1-111-11-111-11-11-1-1-111-1-111-11-111-11-1
χ121111-1-1111-1111111-1-111-1-111-1-1-1-1-1-1-1-111-11-11-11-111-111-1-111-1-1-11-11-11-11
χ131111-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-1111-1-111-1-11-1111-1-1-1-1111-1-111-1-11
χ141111-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-1111-1-11-111-1-11-1-11111-1-11-1-11-111-1
χ151111-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-111-111-11-1-11-11-1-11111-1-1-111-11-1-11
χ161111-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-111-111-1-111-1-1111-1-1-1-111-111-1-111-1
χ172222222222222222222222222222-2-2-2-2-2-200000000-2-20000000000000000
χ1822222222-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-200000000220000000000000000
χ192222-2-2222-2222222-2-222-2-222-2-2-2-22222-2-200000000-220000000000000000
χ202222-2-222-22222222-2-2-2-222-2-222-2-22222-2-2000000002-20000000000000000
χ212-2-222-222002-2-2-2-222-2000000002-222-2-22-2000000000000002i−2i2i−2i00000000
χ222-2-222-222002-2-2-2-222-2000000002-222-2-22-200000000000000−2i2i−2i2i00000000
χ232-2-222-222002-2-2-2-222-2000000002-2-2-222-2200000000002i−2i2i−2i000000000000
χ242-2-222-222002-2-2-2-222-2000000002-2-2-222-220000000000−2i2i−2i2i000000000000
χ252-2-22-2222002-2-2-2-22-2200000000-2222-2-2-2200000000002i−2i−2i2i000000000000
χ262-2-22-2222002-2-2-2-22-2200000000-2222-2-2-220000000000−2i2i2i−2i000000000000
χ272-2-22-2222002-2-2-2-22-2200000000-22-2-2222-2000000000000002i−2i−2i2i00000000
χ282-2-22-2222002-2-2-2-22-2200000000-22-2-2222-200000000000000−2i2i2i−2i00000000
χ294444441-2441-2-211-211-2-2-2-21111-2-2000000222200000000000000-1-1-1-10000
χ304444441-2441-2-211-211-2-2-2-21111-2-2000000-2-2-2-20000000000000011110000
χ314444441-2-4-41-2-211-2112222-1-1-1-1-2-200000022-2-200000000000000-1-1110000
χ324444441-2-4-41-2-211-2112222-1-1-1-1-2-2000000-2-2220000000000000011-1-10000
χ33444444-2144-211-2-21-2-21111-2-2-2-2110000000000222200000000000000-1-1-1-1
χ34444444-2144-211-2-21-2-21111-2-2-2-2110000000000-2-2-2-2000000000000001111
χ35444444-21-4-4-211-2-21-2-2-1-1-1-1222211000000000022-2-200000000000000-1-111
χ36444444-21-4-4-211-2-21-2-2-1-1-1-12222110000000000-2-2220000000000000011-1-1
χ374444-4-41-24-41-2-211-2-1-1-2-22211-1-1220000002-22-200000000000000-11-110000
χ384444-4-41-24-41-2-211-2-1-1-2-22211-1-122000000-22-22000000000000001-11-10000
χ394444-4-41-2-441-2-211-2-1-122-2-2-1-111220000002-2-2200000000000000-111-10000
χ404444-4-41-2-441-2-211-2-1-122-2-2-1-11122000000-222-2000000000000001-1-110000
χ414444-4-4-214-4-211-2-212211-1-1-2-222-1-100000000002-22-200000000000000-11-11
χ424444-4-4-214-4-211-2-212211-1-1-2-222-1-10000000000-22-22000000000000001-11-1
χ434444-4-4-21-44-211-2-2122-1-11122-2-2-1-100000000002-2-2200000000000000-111-1
χ444444-4-4-21-44-211-2-2122-1-11122-2-2-1-10000000000-222-2000000000000001-1-11
χ4544-4-4004400-44-44-4-40000000000004-44-40000000000000000000000000000
χ4644-4-4004400-44-44-4-4000000000000-44-440000000000000000000000000000
χ474-44-4004400-4-44-44-40000000000004-4-440000000000000000000000000000
χ484-44-4004400-4-44-44-4000000000000-444-40000000000000000000000000000
χ4988-8-8002-400-2-442-24000000006i−6i0000000000000000000000000000000000
χ5088-8-8002-400-2-442-2400000000−6i6i0000000000000000000000000000000000
χ5188-8-800-420042-2-44-2006-60000000000000000000000000000000000000000
χ5288-8-800-420042-2-44-200-660000000000000000000000000000000000000000
χ538-88-8002-400-24-4-2240000006i−6i000000000000000000000000000000000000
χ548-88-8002-400-24-4-224000000−6i6i000000000000000000000000000000000000
χ558-88-800-42004-224-4-200006-600000000000000000000000000000000000000
χ568-88-800-42004-224-4-20000-6600000000000000000000000000000000000000
χ578-8-888-82-400244-2-2-42-200000000-4400000000000000000000000000000000
χ588-8-888-8-4200-4-2-2442-44000000002-200000000000000000000000000000000
χ598-8-88-882-400244-2-2-4-22000000004-400000000000000000000000000000000
χ608-8-88-88-4200-4-2-24424-400000000-2200000000000000000000000000000000

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