Finite Group Databasebeta

← Group #11866988

Character table — Group #11866988

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order122244233466666666661212121212121212222244222244442488888888666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ5111111-111-1111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111-111-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ7111111-111-1111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ8111111-111-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ91111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-11-1-1111-1-111-1-11-11-11-11-1
χ101111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-11-1-111-1-1111-1-111-1-11
χ111111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11-1-111-1-111-111-1-111-1
χ121111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-11-1111-1-111-1-1-11-11-11-11
χ131111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-11-111-111-1-1-1-1111-11-1-11-11
χ141111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-111-11-1-1-11111-1-11-1-11-111-1
χ151111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-11-1-111-1-1-11111-1-1-111-11-1-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-111-11-11-111-1-1-1-111-11-111-11-1
χ172222222222222222222222222222-2-2-2-2-2-200000000-2-20000000000000000
χ18222222-222-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000220000000000000000
χ192222-2-2222-22222222222-2-2-2-2-2-2-2-22222-2-2000000002-20000000000000000
χ202222-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-200000000-220000000000000000
χ212-2-222-20220-2-222-2-2000022-2-2000022-2-22-2000000000000002i−2i2i−2i00000000
χ222-2-222-20220-2-222-2-2000022-2-2000022-2-22-200000000000000−2i2i−2i2i00000000
χ232-2-222-20220-2-222-2-2000022-2-20000-2-222-2200000000002-22-2000000000000
χ242-2-222-20220-2-222-2-2000022-2-20000-2-222-220000000000-22-22000000000000
χ252-2-22-220220-2-222-2-20000-2-222000022-2-2-2200000000002-2-22000000000000
χ262-2-22-220220-2-222-2-20000-2-222000022-2-2-220000000000-222-2000000000000
χ272-2-22-220220-2-222-2-20000-2-2220000-2-2222-2000000000000002i−2i−2i2i00000000
χ282-2-22-220220-2-222-2-20000-2-2220000-2-2222-200000000000000−2i2i2i−2i00000000
χ2944444441-241-21-21-211-2-21-21-211-2-200000000220022000000000000-1-100-1-1
χ3044444441-241-21-21-211-2-21-21-211-2-200000000-2-200-2-2000000000000110011
χ314444444-214-21-21-21-2-211-21-21-2-211000000220022000000000000-1-100-1-100
χ324444444-214-21-21-21-2-211-21-21-2-211000000-2-200-2-200000000000011001100
χ33444444-41-2-41-21-21-2-1-1221-21-2-1-122000000002200-2-2000000000000-1-10011
χ34444444-41-2-41-21-21-2-1-1221-21-2-1-12200000000-2-200220000000000001100-1-1
χ35444444-4-21-4-21-21-2122-1-1-21-2122-1-10000002200-2-2000000000000-1-1001100
χ36444444-4-21-4-21-21-2122-1-1-21-2122-1-1000000-2-200220000000000001100-1-100
χ374444-4-441-2-41-21-21-211-2-2-12-12-1-122000000002-2002-2000000000000-1100-11
χ384444-4-441-2-41-21-21-211-2-2-12-12-1-12200000000-2200-220000000000001-1001-1
χ394444-4-44-21-4-21-21-21-2-2112-12-122-1-10000002-2002-2000000000000-1100-1100
χ404444-4-44-21-4-21-21-21-2-2112-12-122-1-1000000-2200-220000000000001-1001-100
χ414444-4-4-41-241-21-21-2-1-122-12-1211-2-2000000002-200-22000000000000-11001-1
χ424444-4-4-41-241-21-21-2-1-122-12-1211-2-200000000-22002-20000000000001-100-11
χ434444-4-4-4-214-21-21-2122-1-12-12-1-2-2110000002-200-22000000000000-11001-100
χ444444-4-4-4-214-21-21-2122-1-12-12-1-2-211000000-22002-20000000000001-100-1100
χ4544-4-40004404-4-4-4-440000000000004-44-40000000000000000000000000000
χ4644-4-40004404-4-4-4-44000000000000-44-440000000000000000000000000000
χ474-44-4000440-44-4-44-40000000000004-4-440000000000000000000000000000
χ484-44-4000440-44-4-44-4000000000000-444-40000000000000000000000000000
χ4988-8-80002-4024-24-2-4000000006i−6i0000000000000000000000000000000000
χ5088-8-80002-4024-24-2-400000000−6i6i0000000000000000000000000000000000
χ5188-8-8000-420-4-24-242006-60000000000000000000000000000000000000000
χ5288-8-8000-420-4-24-24200-660000000000000000000000000000000000000000
χ538-88-80002-40-2-4-24246-6000000000000000000000000000000000000000000
χ548-88-80002-40-2-4-2424-66000000000000000000000000000000000000000000
χ558-88-8000-420424-2-4-200000000006i−6i00000000000000000000000000000000
χ568-88-8000-420424-2-4-20000000000−6i6i00000000000000000000000000000000
χ578-8-888-802-40-242-4-2400002-4-24000000000000000000000000000000000000
χ588-8-888-80-4204-2-424-20000-424-2000000000000000000000000000000000000
χ598-8-88-8802-40-242-4-240000-242-4000000000000000000000000000000000000
χ608-8-88-880-4204-2-424-200004-2-42000000000000000000000000000000000000

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