Finite Group Databasebeta

← Group #11874412

Character table — Group #11874412

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order122244334466666612121212121212121212121222224422444444448888888866121212121212
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
χ511111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ91111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-11-11-111-1-111-1-11-11-11-11-1
χ101111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-111-1-1-111-1-1111-11-1-11-11
χ111111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111-11-11-1-1-111-1-111-11-111-11-1
χ121111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-111-111-1-111-1-1-11-11-11-11
χ131111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11-1111-1-1-1-1111-1-111-1-11
χ141111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-111-1-11-1-11111-1-11-1-11-111-1
χ151111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-11-1-11-11-1-11111-1-1-111-11-1-11
χ161111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-1111-1-1-1-111-111-1-111-1
χ172222222222222222222222222222-2-2-2-2-2-200000000-2-20000000000000000
χ1822222222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000220000000000000000
χ192222-2-2222-22222222222-2-2-2-2-2-2-2-22222-2-200000000-220000000000000000
χ202222-2-222-22222222-2-2-2-22222-2-2-2-22222-2-2000000002-20000000000000000
χ212-2-222-22200-2-2-2-222000000002-22-222-2-22-2000000000000002-22-200000000
χ222-2-222-22200-2-2-2-222000000002-22-222-2-22-200000000000000-22-2200000000
χ232-2-222-22200-2-2-2-222000000002-22-2-2-222-2200000000002-22-2000000000000
χ242-2-222-22200-2-2-2-222000000002-22-2-2-222-220000000000-22-22000000000000
χ252-2-22-222200-2-2-2-22200000000-22-2222-2-2-2200000000002-2-22000000000000
χ262-2-22-222200-2-2-2-22200000000-22-2222-2-2-220000000000-222-2000000000000
χ272-2-22-222200-2-2-2-22200000000-22-22-2-2222-2000000000000002-2-2200000000
χ282-2-22-222200-2-2-2-22200000000-22-22-2-2222-200000000000000-222-200000000
χ294444441-24411-2-2-2111-2-211-2-2-2-2110000000000222200000000000000-1-1-1-1
χ304444441-24411-2-2-2111-2-211-2-2-2-2110000000000-2-2-2-2000000000000001111
χ314444441-2-4-411-2-2-21-1-122-1-122-2-211000000000022-2-200000000000000-1-111
χ324444441-2-4-411-2-2-21-1-122-1-122-2-2110000000000-2-2220000000000000011-1-1
χ33444444-2144-2-2111-2-2-211-2-21111-2-2000000222200000000000000-1-1-1-10000
χ34444444-2144-2-2111-2-2-211-2-21111-2-2000000-2-2-2-20000000000000011110000
χ35444444-21-4-4-2-2111-222-1-122-1-111-2-200000022-2-200000000000000-1-1110000
χ36444444-21-4-4-2-2111-222-1-122-1-111-2-2000000-2-2220000000000000011-1-10000
χ374444-4-41-24-411-2-2-2111-2-2-1-12222-1-100000000002-22-200000000000000-11-11
χ384444-4-41-24-411-2-2-2111-2-2-1-12222-1-10000000000-22-22000000000000001-11-1
χ394444-4-41-2-4411-2-2-21-1-12211-2-222-1-100000000002-2-2200000000000000-111-1
χ404444-4-41-2-4411-2-2-21-1-12211-2-222-1-10000000000-222-2000000000000001-1-11
χ414444-4-4-214-4-2-2111-2-2-21122-1-1-1-1220000002-22-200000000000000-11-110000
χ424444-4-4-214-4-2-2111-2-2-21122-1-1-1-122000000-22-22000000000000001-11-10000
χ434444-4-4-21-44-2-2111-222-1-1-2-211-1-1220000002-2-2200000000000000-111-10000
χ444444-4-4-21-44-2-2111-222-1-1-2-211-1-122000000-222-2000000000000001-1-110000
χ4544-4-40044004-44-4-4-40000000000004-44-40000000000000000000000000000
χ4644-4-40044004-44-4-4-4000000000000-44-440000000000000000000000000000
χ474-44-4004400-44-44-4-40000000000004-4-440000000000000000000000000000
χ484-44-4004400-44-44-4-4000000000000-444-40000000000000000000000000000
χ4988-8-8002-4002-2-444-26-6000000000000000000000000000000000000000000
χ5088-8-8002-4002-2-444-2-66000000000000000000000000000000000000000000
χ5188-8-800-4200-442-2-240000006i−6i000000000000000000000000000000000000
χ5288-8-800-4200-442-2-24000000−6i6i000000000000000000000000000000000000
χ538-88-8002-400-224-44-200006-600000000000000000000000000000000000000
χ548-88-8002-400-224-44-20000-6600000000000000000000000000000000000000
χ558-88-800-42004-4-22-24006i−6i0000000000000000000000000000000000000000
χ568-88-800-42004-4-22-2400−6i6i0000000000000000000000000000000000000000
χ578-8-888-82-400-2-244-4200000000-442-200000000000000000000000000000000
χ588-8-888-8-420044-2-22-4000000002-2-4400000000000000000000000000000000
χ598-8-88-882-400-2-244-42000000004-4-2200000000000000000000000000000000
χ608-8-88-88-420044-2-22-400000000-224-400000000000000000000000000000000

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