Finite Group Databasebeta

← Group #11785599

Character table — Group #11785599

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order1222442233666666121212126666224488884444888824242424242424244488888812121212
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
χ5111111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ6111111-1-1111111111111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ7111111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ8111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ91-1-111-11-111-1-111-1-111-1-111-1-11-1-1111-1-1i−ii−ii−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i
χ101-1-111-11-111-1-111-1-111-1-111-1-11-1-1111-1-1−ii−ii−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii
χ111-1-111-11-111-1-111-1-111-1-111-1-11-1-11-1-111i−i−iii−i−iiii−i−i−i−iii1-1-11-1-111i−i−ii
χ121-1-111-11-111-1-111-1-111-1-111-1-11-1-11-1-111−iii−i−iii−i−i−iiiii−i−i1-1-11-1-111−iii−i
χ131-1-111-1-1111-1-111-1-111-1-1-1-1111-1-1111-1-1i−ii−i−ii−ii−i−iii−i−iii-111-1-1-111i−ii−i
χ141-1-111-1-1111-1-111-1-111-1-1-1-1111-1-1111-1-1−ii−iii−ii−iii−i−iii−i−i-111-1-1-111−ii−ii
χ151-1-111-1-1111-1-111-1-111-1-1-1-1111-1-11-1-111i−i−ii−iii−i−i−iiiii−i−i-11-1111-1-1i−i−ii
χ161-1-111-1-1111-1-111-1-111-1-1-1-1111-1-11-1-111−iii−ii−i−iiii−i−i−i−iii-11-1111-1-1−iii−i
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ18222222-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-20022222222-2-2-2-2000022-2-20000000000000000000000002i−2i2i−2i0000
χ202222-2-20022222222-2-2-2-2000022-2-2000000000000000000000000−2i2i−2i2i0000
χ212222-2-20022222222-2-2-2-20000-2-2222222000000000000000000-2-200000000
χ222222-2-20022222222-2-2-2-20000-2-222-2-2-2-20000000000000000002200000000
χ232-2-222-22-222-2-222-2-222-2-222-2-2-222-200000000000000000000-220000000000
χ242-2-222-2-2222-2-222-2-222-2-2-2-222-222-2000000000000000000002-20000000000
χ252-2-22-220022-2-222-2-2-2-22200002-22-20000000000000000000000002i−2i−2i2i0000
χ262-2-22-220022-2-222-2-2-2-22200002-22-2000000000000000000000000−2i2i2i−2i0000
χ272-2-22-220022-2-222-2-2-2-2220000-22-2222-2-2000000000000000000-2200000000
χ282-2-22-220022-2-222-2-2-2-2220000-22-22-2-2220000000000000000002-200000000
χ29444444441-21-21-21-21-21-21-21-200000000002200220000-1-1-1-10000000000-1-1
χ30444444441-21-21-21-21-21-21-21-20000000000-2-200-2-200001111000000000011
χ3144444444-21-21-21-21-21-21-21-210000000022002200-1-1-1-1000000000000-1-100
χ3244444444-21-21-21-21-21-21-21-2100000000-2-200-2-20011110000000000001100
χ33444444-4-41-21-21-21-21-21-2-12-1200000000002200-2-2000011110000000000-1-1
χ34444444-4-41-21-21-21-21-21-2-12-120000000000-2-200220000-1-1-1-1000000000011
χ35444444-4-4-21-21-21-21-21-212-12-1000000002200-2-2001111000000000000-1-100
χ36444444-4-4-21-21-21-21-21-212-12-100000000-2-2002200-1-1-1-10000000000001100
χ3744-4-40000444-4-4-4-44000000000000−2i22i2−2i22i20000000000000000000000000000
χ3844-4-40000444-4-4-4-440000000000002i2−2i22i2−2i20000000000000000000000000000
χ394-44-4000044-44-4-44-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ404-44-4000044-44-4-44-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ414-4-444-44-41-2-121-2-121-2-121-2-1200000000002i−2i002i−2i0000−i−iii0000000000−ii
χ424-4-444-44-41-2-121-2-121-2-121-2-120000000000−2i2i00−2i2i0000ii−i−i0000000000i−i
χ434-4-444-44-4-212-1-212-1-212-1-212-1000000002i−2i002i−2i00−i−iii000000000000−ii00
χ444-4-444-44-4-212-1-212-1-212-1-212-100000000−2i2i00−2i2i00ii−i−i000000000000i−i00
χ454-4-444-4-441-2-121-2-121-2-12-121-200000000002i−2i00−2i2i0000ii−i−i0000000000−ii
χ464-4-444-4-441-2-121-2-121-2-12-121-20000000000−2i2i002i−2i0000−i−iii0000000000i−i
χ474-4-444-4-44-212-1-212-1-212-12-1-21000000002i−2i00−2i2i00ii−i−i000000000000−ii00
χ484-4-444-4-44-212-1-212-1-212-12-1-2100000000−2i2i002i−2i00−i−iii000000000000i−i00
χ498888-8-8002-42-42-42-4-24-240000000000000000000000000000000000000000
χ508888-8-800-42-42-42-424-24-20000000000000000000000000000000000000000
χ5188-8-800002-424-24-2-400000000000000000000000000006−66−6000000000000
χ5288-8-800002-424-24-2-40000000000000000000000000000−66−66000000000000
χ5388-8-80000-42-4-24-242000000000000000000000000i6−i6i6−i60000000000000000
χ5488-8-80000-42-4-24-242000000000000000000000000−i6i6−i6i60000000000000000
χ558-88-800002-4-2-4-24240000000000000000000000000000i6−i6−i6i6000000000000
χ568-88-800002-4-2-4-24240000000000000000000000000000−i6i6i6−i6000000000000
χ578-88-80000-42424-2-4-20000000000000000000000006−6−660000000000000000
χ588-88-80000-42424-2-4-2000000000000000000000000−666−60000000000000000
χ598-8-88-88002-4-242-4-24-242-40000000000000000000000000000000000000000
χ608-8-88-8800-424-2-424-24-2-420000000000000000000000000000000000000000

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