Finite Group Databasebeta

← Group #11787935

Character table — Group #11787935

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122244444444444488888888888889916161616161616161818183636363636363636363636367272727272
order122222223346666664666666666666226612121212121222222244444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1ii−i−i
χ4111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1−i−iii
χ51111111-111-1111111-111111111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-11-11-1
χ61111111-111-1111111-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-11-11
χ71111111-111-1111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1i−i−ii
χ81111111-111-1111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1−iii−i
χ911111-1-11111111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11111111111-1-1-1-1-1
χ1011111-1-11111111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111
χ1111111-1-11111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1−i−iii
χ1211111-1-11111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1ii−i−i
χ1311111-1-1-111-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1-11-11-11
χ1411111-1-1-111-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-111-1-11111-11-1
χ1511111-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111ii−i−i−i−iii-1−iii−i
χ1611111-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111−i−iiiii−i−i-1i−i−ii
χ17222-2-200022022-2-2-2-2022-2-2000000002200000000-22-20000002-2002-200000
χ18222-2-200022022-2-2-2-2022-2-2000000002200000000-22-2000000-2200-2200000
χ19222-2-200022022-2-2-2-2022-2-200000000-2-2000000002-220000002i−2i00−2i2i00000
χ20222-2-200022022-2-2-2-2022-2-200000000-2-2000000002-22000000−2i2i002i−2i00000
χ2122-22-200022022-2-2-2-20-2-222000000002200000000-2-2200002-2002-20000000
χ2222-22-200022022-2-2-2-20-2-222000000002200000000-2-220000-2200-220000000
χ2322-22-200022022-2-2-2-20-2-22200000000-2-20000000022-200002i−2i00−2i2i0000000
χ2422-22-200022022-2-2-2-20-2-22200000000-2-20000000022-20000−2i2i002i−2i0000000
χ2522-2-2200222-22222220-2-2-2-2000000002222-2-200002-2-2002-20000000000000
χ2622-2-2200222-22222220-2-2-2-200000000-2-222-2-20000-22200-220000000000000
χ2722-2-2200-22222222220-2-2-2-20000000022-2-22200002-2-200-220000000000000
χ2822-2-2200-22222222220-2-2-2-200000000-2-2-2-2220000-222002-20000000000000
χ29444444441-241-211-2-241-21-21111-2-2-2-2001-21-211-2-200000000000000000000
χ3044444444-214-21-2-2114-21-21-2-2-2-2111100-21-21-2-21100000000000000000000
χ314444444-41-2-41-211-2-2-41-21-21111-2-2-2-200-12-12-1-12200000000000000000000
χ324444444-4-21-4-21-2-211-4-21-21-2-2-2-21111002-12-122-1-100000000000000000000
χ3344444-4-441-241-211-2-2-41-21-2-1-1-1-12222001-21-2-1-12200000000000000000000
χ3444444-4-44-214-21-2-211-4-21-212222-1-1-1-100-21-2122-1-100000000000000000000
χ3544444-4-4-41-2-41-211-2-241-21-2-1-1-1-1222200-12-1211-2-200000000000000000000
χ3644444-4-4-4-21-4-21-2-2114-21-212222-1-1-1-1002-12-1-2-21100000000000000000000
χ3744-4-440041-2-41-211-2-20-12-1233-3-30000001-2-123-30000000000000000000000
χ3844-4-440041-2-41-211-2-20-12-12-3-3330000001-2-12-330000000000000000000000
χ3944-4-44004-21-4-21-2-21102-12-1000033-3-300-212-1003-300000000000000000000
χ4044-4-44004-21-4-21-2-21102-12-10000-3-33300-212-100-3300000000000000000000
χ4144-4-4400-41-241-211-2-20-12-1233-3-3000000-121-2-330000000000000000000000
χ4244-4-4400-41-241-211-2-20-12-12-3-333000000-121-23-30000000000000000000000
χ4344-4-4400-4-214-21-2-21102-12-1000033-3-3002-1-2100-3300000000000000000000
χ4444-4-4400-4-214-21-2-21102-12-10000-3-333002-1-21003-300000000000000000000
χ454-40002-20440-4-40000000002-22-22-22-24-4000000000002-2000000000000000
χ464-40002-20440-4-40000000002-22-22-22-2-4400000000000-22000000000000000
χ474-4000-220440-4-4000000000-22-22-22-224-400000000000-22000000000000000
χ484-4000-220440-4-4000000000-22-22-22-22-44000000000002-2000000000000000
χ49888-8-80002-402-4-2-24402-4-2400000000000000000000000000000000000000
χ50888-8-8000-420-4244-2-20-424-200000000000000000000000000000000000000
χ5188-88-80002-402-4-2-2440-242-400000000000000000000000000000000000000
χ5288-88-8000-420-4244-2-204-2-4200000000000000000000000000000000000000
χ538-80004-402-40-246-600000004-4-22-22-22000000000000000000000000000000
χ548-80004-402-40-24-660000000-224-4-22-22000000000000000000000000000000
χ558-80004-40-4204-2006-600000-22-224-4-22000000000000000000000000000000
χ568-80004-40-4204-200-6600000-22-22-224-4000000000000000000000000000000
χ578-8000-4402-40-246-60000000-442-22-22-2000000000000000000000000000000
χ588-8000-4402-40-24-6600000002-2-442-22-2000000000000000000000000000000
χ598-8000-440-4204-2006-6000002-22-2-442-2000000000000000000000000000000
χ608-8000-440-4204-200-66000002-22-22-2-44000000000000000000000000000000

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