Finite Group Databasebeta

← Group #11790743

Character table — Group #11790743

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order12224433666666881212121224242424242424242222444444444444448888881212121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ91-1-111-111-1-1-1-111i−i11-1-1iiii−i−i−i−i-1-1111-1i−ii−i1-11-111-1-1i−iii−i−ii−ii−i1-11-1
χ101-1-111-111-1-1-1-111i−i11-1-1iiii−i−i−i−i-1-1111-1i−i−ii1-1-11-1-111i−i−i−iiii−i−ii1-1-11
χ111-1-111-111-1-1-1-111i−i11-1-1iiii−i−i−i−i-1-1111-1−iii−i-111-1-1-111i−i−i−iii−iii−i-111-1
χ121-1-111-111-1-1-1-111i−i11-1-1iiii−i−i−i−i-1-1111-1−ii−ii-11-1111-1-1i−iii−i−i−ii−ii-11-11
χ131-1-111-111-1-1-1-111−ii11-1-1−i−i−i−iiiii-1-1111-1i−ii−i-11-1111-1-1−ii−i−iiii−ii−i-11-11
χ141-1-111-111-1-1-1-111−ii11-1-1−i−i−i−iiiii-1-1111-1i−i−ii-111-1-1-111−iiii−i−ii−i−ii-111-1
χ151-1-111-111-1-1-1-111−ii11-1-1−i−i−i−iiiii-1-1111-1−iii−i1-1-11-1-111−iiii−i−i−iii−i1-1-11
χ161-1-111-111-1-1-1-111−ii11-1-1−i−i−i−iiiii-1-1111-1−ii−ii1-11-111-1-1−ii−i−iii−ii−ii1-11-1
χ172222222222222222222222222222-2-2-2-2-2-2000000000000-2-2000000000000
χ1822222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000
χ192222-2-22222222200-2-2-2-2000000002222-2-2000000002-22-200000000000000
χ202222-2-22222222200-2-2-2-2000000002222-2-200000000-22-2200000000000000
χ212222-2-22222222200-2-2-2-200000000-2-2-2-222000000000000002-22-200000000
χ222222-2-22222222200-2-2-2-200000000-2-2-2-22200000000000000-22-2200000000
χ232-2-222-222-2-2-2-2222i−2i22-2-22i2i2i2i−2i−2i−2i−2i22-2-2-22000000000000−2i2i000000000000
χ242-2-222-222-2-2-2-222−2i2i22-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-220000000000002i−2i000000000000
χ252-2-22-2222-2-2-2-22200-2-2220000000022-2-22-2000000000000002i−2i−2i2i00000000
χ262-2-22-2222-2-2-2-22200-2-2220000000022-2-22-200000000000000−2i2i2i−2i00000000
χ272-2-22-2222-2-2-2-22200-2-22200000000-2-222-22000000002-2-2200000000000000
χ282-2-22-2222-2-2-2-22200-2-22200000000-2-222-2200000000-222-200000000000000
χ294444441-21-21-21-2441-21-211-2-211-2-200000000220022000000000000-1-100-1-1
χ304444441-21-21-21-2441-21-211-2-211-2-200000000-2-200-2-2000000000000110011
χ314444441-21-21-21-2-4-41-21-2-1-122-1-122000000002200-2-2000000000000-1-10011
χ324444441-21-21-21-2-4-41-21-2-1-122-1-12200000000-2-200220000000000001100-1-1
χ33444444-21-21-21-2144-21-21-2-211-2-211000000220022000000000000-1-100-1-100
χ34444444-21-21-21-2144-21-21-2-211-2-211000000-2-200-2-200000000000011001100
χ35444444-21-21-21-21-4-4-21-2122-1-122-1-10000002200-2-2000000000000-1-1001100
χ36444444-21-21-21-21-4-4-21-2122-1-122-1-1000000-2-200220000000000001100-1-100
χ3744-4-400444-4-44-4-4000000000000004-44-40000000000000000000000000000
χ3844-4-400444-4-44-4-400000000000000-44-440000000000000000000000000000
χ394-44-40044-444-4-4-4000000000000004-4-440000000000000000000000000000
χ404-44-40044-444-4-4-400000000000000-444-40000000000000000000000000000
χ414-4-444-41-2-12-121-24i−4i1-2-12ii−2i−2i−i−i2i2i000000002i−2i002-2000000000000−ii00-11
χ424-4-444-41-2-12-121-24i−4i1-2-12ii−2i−2i−i−i2i2i00000000−2i2i00-22000000000000i−i001-1
χ434-4-444-41-2-12-121-2−4i4i1-2-12−i−i2i2iii−2i−2i000000002i−2i00-22000000000000−ii001-1
χ444-4-444-41-2-12-121-2−4i4i1-2-12−i−i2i2iii−2i−2i00000000−2i2i002-2000000000000i−i00-11
χ454-4-444-4-212-12-1-214i−4i-212-1−2i−2iii2i2i−i−i0000002i−2i002-2000000000000−ii00-1100
χ464-4-444-4-212-12-1-214i−4i-212-1−2i−2iii2i2i−i−i000000−2i2i00-22000000000000i−i001-100
χ474-4-444-4-212-12-1-21−4i4i-212-12i2i−i−i−2i−2iii0000002i−2i00-22000000000000−ii001-100
χ484-4-444-4-212-12-1-21−4i4i-212-12i2i−i−i−2i−2iii000000−2i2i002-2000000000000i−i00-1100
χ498888-8-82-42-42-42-400-24-240000000000000000000000000000000000000000
χ508888-8-8-42-42-42-42004-24-20000000000000000000000000000000000000000
χ5188-8-8002-424-2-4-2400000032−320032−320000000000000000000000000000000000
χ5288-8-8002-424-2-4-24000000−323200−32320000000000000000000000000000000000
χ5388-8-800-42-4-2424-2000000003i2−3i2003i2−3i200000000000000000000000000000000
χ5488-8-800-42-4-2424-200000000−3i23i200−3i23i200000000000000000000000000000000
χ558-88-8002-4-2-424-240000003i2−3i200−3i23i20000000000000000000000000000000000
χ568-88-8002-4-2-424-24000000−3i23i2003i2−3i20000000000000000000000000000000000
χ578-88-800-4242-4-24-20000000032−3200−323200000000000000000000000000000000
χ588-88-800-4242-4-24-200000000−32320032−3200000000000000000000000000000000
χ598-8-88-882-4-24-242-400-242-40000000000000000000000000000000000000000
χ608-8-88-88-424-24-2-42004-2-420000000000000000000000000000000000000000

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