Finite Group Databasebeta

← Group #11785600

Character table — Group #11785600

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order12224433446666661212121212121212224488884444888824242424242424242288888812121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ511111111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111-1-11111111111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ711111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ911-1-11-1111-1-1-111-1-111-1-111-1-11-1-1111-1-1i−ii−ii−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i
χ1011-1-11-1111-1-1-111-1-111-1-111-1-11-1-1111-1-1−ii−ii−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii
χ1111-1-11-1111-1-1-111-1-111-1-111-1-11-1-11-1-111i−i−iii−i−iiii−i−i−i−iii1-1-11-1-111i−i−ii
χ1211-1-11-1111-1-1-111-1-111-1-111-1-11-1-11-1-111−iii−i−iii−i−i−iiiii−i−i1-1-11-1-111−iii−i
χ1311-1-11-111-11-1-111-1-111-1-1-1-1111-1-1111-1-1i−ii−i−ii−ii−i−iii−i−iii-111-1-1-111i−ii−i
χ1411-1-11-111-11-1-111-1-111-1-1-1-1111-1-1111-1-1−ii−iii−ii−iii−i−iii−i−i-111-1-1-111−ii−ii
χ1511-1-11-111-11-1-111-1-111-1-1-1-1111-1-11-1-111i−i−ii−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii
χ1611-1-11-111-11-1-111-1-111-1-1-1-1111-1-11-1-111−iii−ii−i−iiii−i−i−i−iii-11-1111-1-1−iii−i
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-22200222222-2-2-2-2000022-2-20000000000000000000000002i−2i2i−2i0000
χ202222-2-22200222222-2-2-2-2000022-2-2000000000000000000000000−2i2i−2i2i0000
χ212222-2-22200222222-2-2-2-20000-2-2222222000000000000000000-2-200000000
χ222222-2-22200222222-2-2-2-20000-2-222-2-2-2-20000000000000000002200000000
χ2322-2-22-2222-2-2-222-2-222-2-222-2-2-222-200000000000000000000-220000000000
χ2422-2-22-222-22-2-222-2-222-2-2-2-222-222-2000000000000000000002-20000000000
χ2522-2-2-222200-2-222-2-2-2-22200002-22-20000000000000000000000002i−2i−2i2i0000
χ2622-2-2-222200-2-222-2-2-2-22200002-22-2000000000000000000000000−2i2i2i−2i0000
χ2722-2-2-222200-2-222-2-2-2-2220000-22-2222-2-2000000000000000000-2200000000
χ2822-2-2-222200-2-222-2-2-2-2220000-22-22-2-2220000000000000000002-200000000
χ294444441-2441-21-21-21-21-21-21-200000000002200220000-1-1-1-10000000000-1-1
χ304444441-2441-21-21-21-21-21-21-20000000000-2-200-2-200001111000000000011
χ314444441-2-4-41-21-21-21-21-2-12-1200000000002200-2-2000011110000000000-1-1
χ324444441-2-4-41-21-21-21-21-2-12-120000000000-2-200220000-1-1-1-1000000000011
χ33444444-2144-21-21-21-21-21-21-210000000022002200-1-1-1-1000000000000-1-100
χ34444444-2144-21-21-21-21-21-21-2100000000-2-200-2-20011110000000000001100
χ35444444-21-4-4-21-21-21-21-212-12-1000000002200-2-2001111000000000000-1-100
χ36444444-21-4-4-21-21-21-21-212-12-100000000-2-2002200-1-1-1-10000000000001100
χ3744-4-44-41-24-4-121-2-121-2-121-2-1200000000002i−2i002i−2i0000−i−iii0000000000−ii
χ3844-4-44-41-24-4-121-2-121-2-121-2-120000000000−2i2i00−2i2i0000ii−i−i0000000000i−i
χ3944-4-44-41-2-44-121-2-121-2-12-121-200000000002i−2i00−2i2i0000ii−i−i0000000000−ii
χ4044-4-44-41-2-44-121-2-121-2-12-121-20000000000−2i2i002i−2i0000−i−iii0000000000i−i
χ4144-4-44-4-214-42-1-212-1-212-1-212-1000000002i−2i002i−2i00−i−iii000000000000−ii00
χ4244-4-44-4-214-42-1-212-1-212-1-212-100000000−2i2i00−2i2i00ii−i−i000000000000i−i00
χ4344-4-44-4-21-442-1-212-1-212-12-1-21000000002i−2i00−2i2i00ii−i−i000000000000−ii00
χ4444-4-44-4-21-442-1-212-1-212-12-1-2100000000−2i2i002i−2i00−i−iii000000000000i−i00
χ454-44-40044004-4-4-4-44000000000000−2i22i2−2i22i20000000000000000000000000000
χ464-44-40044004-4-4-4-440000000000002i2−2i22i2−2i20000000000000000000000000000
χ474-4-44004400-44-4-44-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ484-4-44004400-44-4-44-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ498888-8-82-4002-42-42-4-24-240000000000000000000000000000000000000000
χ508888-8-8-4200-42-42-424-24-20000000000000000000000000000000000000000
χ5188-8-8-882-400-242-4-24-242-40000000000000000000000000000000000000000
χ5288-8-8-88-42004-2-424-24-2-420000000000000000000000000000000000000000
χ538-88-8002-40024-24-2-40000000000000000000000000000i6−i6i6−i6000000000000
χ548-88-8002-40024-24-2-40000000000000000000000000000−i6i6−i6i6000000000000
χ558-88-800-4200-4-24-2420000000000000000000000006−66−60000000000000000
χ568-88-800-4200-4-24-242000000000000000000000000−66−660000000000000000
χ578-8-88002-400-2-4-242400000000000000000000000000006−6−66000000000000
χ588-8-88002-400-2-4-24240000000000000000000000000000−666−6000000000000
χ598-8-8800-4200424-2-4-2000000000000000000000000i6−i6−i6i60000000000000000
χ608-8-8800-4200424-2-4-2000000000000000000000000−i6i6i6−i60000000000000000

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