Finite Group Databasebeta

← Group #11887174

Character table — Group #11887174

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222443344666666121212122244121212122222448888224444661212121212124888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111-1-1111111111111-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111111-1-1-1-11-1-11111-1-111
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-111111-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-111111-11-111-1-11111111-1-1-11-111-1-1-1-111-1-1-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-11-11-111-1-111-1-1-1-11-1-11-1111-1-111-1-1-111-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-1-1-1111-11-111-1-111-1-1-1-1-111-11-1-1-111-1-111-111-1-111-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11-11-111-1-1111111-1111-11-1-11111-1-1-1-1-111-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-11-11-1-111111111-11-1-1-1111-1-1-1-111-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-11-11-1-11111-1-1-1-1-11-111-111-1-111-1-1-11111-1-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11-11-1-11-1-111-1-111-11111-1-11-1-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-11-11-1-1111111111-1111-1-1-11111-1-1-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-200002-22-2-2-222-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-22-2222-2-2-2-200000000000000000020000000000
χ2122-2-22-22200-22-22-2-22-22-2000000002-22-200−i2−i2i2i2000000000000000−i2i2−i2i2−i2i20000
χ2222-2-22-22200-22-22-2-22-22-2000000002-22-200i2i2−i2−i2000000000000000i2−i2i2−i2i2−i20000
χ2322-2-22-22200-22-22-2-22-22-200000000-22-2200−i2−i2i2i2000000000000000−i2i2i2−i2i2−i20000
χ2422-2-22-22200-22-22-2-22-22-200000000-22-2200i2i2−i2−i2000000000000000i2−i2−i2i2−i2i20000
χ2522-2-2-222200-22-22-2-2-22-22000000002-2-2200−i2−i2i2i2000000000000000i2−i2−i2i2i2−i20000
χ2622-2-2-222200-22-22-2-2-22-22000000002-2-2200i2i2−i2−i2000000000000000−i2i2i2−i2−i2i20000
χ2722-2-2-222200-22-22-2-2-22-2200000000-222-200−i2−i2i2i2000000000000000i2−i2i2−i2−i2i20000
χ2822-2-2-222200-22-22-2-2-22-2200000000-222-200i2i2−i2−i2000000000000000−i2i2−i2i2i2−i20000
χ292-22-2002200-2-22-22-200002-22i−2i000000002-22i−2i2i−2i0000002-200002i−2i00000000000
χ302-22-2002200-2-22-22-200002-2−2i2i000000002-2−2i2i−2i2i0000002-20000−2i2i00000000000
χ312-22-2002200-2-22-22-20000-222i−2i000000002-2−2i2i−2i2i000000-2200002i−2i00000000000
χ322-22-2002200-2-22-22-20000-22−2i2i000000002-22i−2i2i−2i000000-220000−2i2i00000000000
χ334444441-244-21-2-21111-2-20022-2-21100000000000002220000-1-1-1-1000000000-1-1
χ344444441-244-21-2-21111-2-200-2-2-2-2110000000000000-2-2-20000111100000000011
χ354444441-2-4-4-21-2-21111-2-2002222-1-100000000000002-2-20000-1-1-1-100000000011
χ364444441-2-4-4-21-2-21111-2-200-2-222-1-10000000000000-22200001111000000000-1-1
χ37444444-21441-211-2-2-2-211220011-2-20000000000222000-1-1-1-100000000000-1-100
χ38444444-21441-211-2-2-2-211-2-20011-2-20000000000-2-2-20001111000000000001100
χ39444444-21-4-41-211-2-2-2-2112200-1-1220000000000-2-22000-1-1-1-1000000000001100
χ40444444-21-4-41-211-2-2-2-211-2-200-1-122000000000022-2000111100000000000-1-100
χ414444-4-41-24-4-21-2-211-1-1220022-221-10000000000000-22-2000011-1-1000000000-11
χ424444-4-41-24-4-21-2-211-1-12200-2-2-221-100000000000002-220000-1-1110000000001-1
χ434444-4-41-2-44-21-2-211-1-12200222-2-110000000000000-2-22000011-1-10000000001-1
χ444444-4-41-2-44-21-2-211-1-12200-2-22-2-11000000000000022-20000-1-111000000000-11
χ454444-4-4-214-41-211-2-222-1-122001-1-2200000000002-2-2000-1-11100000000000-1100
χ464444-4-4-214-41-211-2-222-1-1-2-2001-1-220000000000-22200011-1-1000000000001-100
χ474444-4-4-21-441-211-2-222-1-12200-112-20000000000-22-2000-1-111000000000001-100
χ484444-4-4-21-441-211-2-222-1-1-2-200-112-200000000002-2200011-1-100000000000-1100
χ494-44-4004400-4-44-44-40000000000000000-4400000000000000000000000000000
χ504-4-440044004-4-4-4-4400000000000000000022−22−22220000000000000000000000000
χ514-4-440044004-4-4-4-44000000000000000000−222222−220000000000000000000000000
χ5288-8-88-82-400424-4-2-22-2-440000000000000000000000000000000000000000000
χ5388-8-88-8-4200-2-4-2244-442-20000000000000000000000000000000000000000000
χ5488-8-8-882-400424-4-2-2-224-40000000000000000000000000000000000000000000
χ5588-8-8-88-4200-2-4-22444-4-220000000000000000000000000000000000000000000
χ568-88-8002-4004-2-442-20000004i−4i00000000000000000000000000−2i2i00000000000
χ578-88-8002-4004-2-442-2000000−4i4i000000000000000000000000002i−2i00000000000
χ588-88-800-4200-242-2-4400004-40000000000000000000000-2200000000000000000
χ598-88-800-4200-242-2-440000-4400000000000000000000002-200000000000000000
χ608-8-88002-400-4-244-220000000000000000000000000000000023−230000000000000
χ618-8-88002-400-4-244-2200000000000000000000000000000000−23230000000000000
χ628-8-8800-420024-2-24-400000000000000000000000000000023−23000000000000000
χ638-8-8800-420024-2-24-4000000000000000000000000000000−2323000000000000000

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