Finite Group Databasebeta

← Group #11887482

Character table — Group #11887482

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222443344666666121212122244121212122244448888224444661212121212122888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-11-1-111-111-1-111-1-11-1-1-1-1-1-1-111-1
χ311111111111111111111-1-1111111111111-1-1-1-1-111-1-11-1-111-1-1111-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111111-1-111-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1111-1-111-1-1111-1-1111-1-11
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-11-11-1-1-111-1-111111-1-111-111-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-111111-11-1-1-111111111-11-1-11-111-1-1-1-111-111-1-1-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-11111-1-111
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111-11-1-1-1-1-1-11111-1-1-1111111-1-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-1-1-1111111111-111-11-1-11111-1-1-111-1-1-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-11-1111-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-11-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-1-11111-1-111-1-1
χ151111-1-111-11111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-1-1-111
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-1111-1-1111111-11111-1-1-11111-1-1-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-200002-22-222-2-2-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-22-22-2-222-2-200000000000000000020000000000
χ2122-2-22i−2i22002-2-22-2-22i−2i2i−2i000000002-22i−2i00−i2−i2i2i20000000000000002−22−2−i2i20000
χ2222-2-22i−2i22002-2-22-2-22i−2i2i−2i000000002-22i−2i00i2i2−i2−i2000000000000000−22−22i2−i20000
χ2322-2-22i−2i22002-2-22-2-22i−2i2i−2i00000000-22−2i2i00−i2−i2i2i2000000000000000−222−2i2−i20000
χ2422-2-22i−2i22002-2-22-2-22i−2i2i−2i00000000-22−2i2i00i2i2−i2−i20000000000000002−2−22−i2i20000
χ2522-2-2−2i2i22002-2-22-2-2−2i2i−2i2i000000002-2−2i2i00−i2−i2i2i2000000000000000−22−22−i2i20000
χ2622-2-2−2i2i22002-2-22-2-2−2i2i−2i2i000000002-2−2i2i00i2i2−i2−i20000000000000002−22−2i2−i20000
χ2722-2-2−2i2i22002-2-22-2-2−2i2i−2i2i00000000-222i−2i00−i2−i2i2i20000000000000002−2−22i2−i20000
χ2822-2-2−2i2i22002-2-22-2-2−2i2i−2i2i00000000-222i−2i00i2i2−i2−i2000000000000000−222−2−i2i20000
χ292-22-2002200-22-2-22-200002-22i−2i000000002-22i−2i2i−2i0000002-200002i−2i00000000000
χ302-22-2002200-22-2-22-200002-2−2i2i000000002-2−2i2i−2i2i0000002-20000−2i2i00000000000
χ312-22-2002200-22-2-22-20000-222i−2i000000002-2−2i2i−2i2i000000-2200002i−2i00000000000
χ322-22-2002200-22-2-22-20000-22−2i2i000000002-22i−2i2i−2i000000-220000−2i2i00000000000
χ334444441-244-21-21-2111-2-20022-211-2000000000002200200-1-100-1-10000000-100-1
χ344444441-244-21-21-2111-2-200-2-2-211-200000000000-2-200-20011001100000001001
χ354444441-2-4-4-21-21-2111-2-200222-1-1200000000000-2200-200-1-100-1-100000001001
χ364444441-2-4-4-21-21-2111-2-200-2-22-1-12000000000002-2002001100110000000-100-1
χ37444444-21441-21-21-2-2-21122001-2-210000000000200220-1-100-1-10000000000-1-10
χ38444444-21441-21-21-2-2-211-2-2001-2-210000000000-200-2-201100110000000000110
χ39444444-21-4-41-21-21-2-2-2112200-122-10000000000-2002-20-1-100-1-10000000000110
χ40444444-21-4-41-21-21-2-2-211-2-200-122-10000000000200-2201100110000000000-1-10
χ414444-4-41-24-4-21-21-21-1-1220022-2-112000000000002-200-2001100-1-10000000-1001
χ424444-4-41-24-4-21-21-21-1-12200-2-2-2-11200000000000-2200200-1-100110000000100-1
χ434444-4-41-2-44-21-21-21-1-122002221-1-200000000000-2-2002001100-1-10000000100-1
χ444444-4-41-2-44-21-21-21-1-12200-2-221-1-2000000000002200-200-1-100110000000-1001
χ454444-4-4-214-41-21-21-222-1-1220012-2-10000000000-200-220-1-1001100000000001-10
χ464444-4-4-214-41-21-21-222-1-1-2-20012-2-100000000002002-201100-1-10000000000-110
χ474444-4-4-21-441-21-21-222-1-12200-1-2210000000000200-2-20-1-100110000000000-110
χ484444-4-4-21-441-21-21-222-1-1-2-200-1-2210000000000-2002201100-1-100000000001-10
χ494-44-4004400-44-4-44-40000000000000000-4400000000000000000000000000000
χ504-4-44004400-4-44-4-4400000000000000000022−22−22220000000000000000000000000
χ514-4-44004400-4-44-4-44000000000000000000−222222−220000000000000000000000000
χ5288-8-88i−8i2-400-4-2424-22i−2i−4i4i0000000000000000000000000000000000000000000
χ5388-8-88i−8i-420024-2-4-24−4i4i2i−2i0000000000000000000000000000000000000000000
χ5488-8-8−8i8i2-400-4-2424-2−2i2i4i−4i0000000000000000000000000000000000000000000
χ5588-8-8−8i8i-420024-2-4-244i−4i−2i2i0000000000000000000000000000000000000000000
χ568-88-8002-400424-2-4-20000004i−4i00000000000000000000000000−2i2i00000000000
χ578-88-8002-400424-2-4-2000000−4i4i000000000000000000000000002i−2i00000000000
χ588-88-800-4200-2-4-242400004-40000000000000000000000-2200000000000000000
χ598-88-800-4200-2-4-24240000-4400000000000000000000002-200000000000000000
χ608-8-88002-4004-2-4-24200000000000000000000000000000023−23000000000000000
χ618-8-88002-4004-2-4-242000000000000000000000000000000−2323000000000000000
χ628-8-8800-4200-2424-2-40000000000000000000000000000000023−230000000000000
χ638-8-8800-4200-2424-2-400000000000000000000000000000000−23230000000000000

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