Finite Group Databasebeta

← Group #11785295

Character table — Group #11785295

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488889999121212121212121216161616181818181818242424242424242424242424363636363636363648484848
order12224433446666661212121222228888888812121212444444444424242424242424244444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111-1-11111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ811111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91-1-111-1111-1-1-111-1-111-1-1-1-111ii−i−iii−i−i11-1-11-111-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i
χ101-1-111-1111-1-1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-11-1-1-111i−i−iiii−i−i−i−iii1-1-11-1-111i−i−ii
χ111-1-111-1111-1-1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-11-1-1-111−iii−i−i−iiiii−i−i1-1-11-1-111−iii−i
χ121-1-111-1111-1-1-111-1-111-1-1-1-111−i−iii−i−iii11-1-11-111-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii
χ131-1-111-111-11-1-111-1-111-1-1-1-111ii−i−iii−i−i-1-1111-111-1-1−ii−iiii−i−iii−i−i-111-1-1-111−ii−ii
χ141-1-111-111-11-1-111-1-111-1-1-1-111ii−i−i−i−iii-1-1111-1-1-111−iii−iii−i−i−i−iii-11-1111-1-1−iii−i
χ151-1-111-111-11-1-111-1-111-1-1-1-111−i−iiiii−i−i-1-1111-1-1-111i−i−ii−i−iiiii−i−i-11-1111-1-1i−i−ii
χ161-1-111-111-11-1-111-1-111-1-1-1-111−i−iii−i−iii-1-1111-111-1-1i−ii−i−i−iii−i−iii-111-1-1-111i−ii−i
χ1722222222222222222222-2-2-2-2000000002222-2-20000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000220000000000
χ192222-2-22200222222-2-2-2-22222000000000000-2-2222200000000000000-2-200000000
χ202222-2-22200222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ212222-2-22200222222-2-2-2-2-2-2-2-200000000000022000000000000000000002i−2i2i−2i0000
χ222222-2-22200222222-2-2-2-2-2-2-2-20000000000002200000000000000000000−2i2i−2i2i0000
χ2322-2-20022002-2-2-22-200002-2-22i2−i2i2−i22−22−20000002i−2i2i−2i0000i2−i2i2−i22−22−2000000000000
χ2422-2-20022002-2-2-22-200002-2-22i2−i2i2−i2−22−22000000−2i2i−2i2i0000i2−i2i2−i2−22−22000000000000
χ2522-2-20022002-2-2-22-200002-2-22−i2i2−i2i22−22−2000000−2i2i−2i2i0000−i2i2−i2i22−22−2000000000000
χ2622-2-20022002-2-2-22-200002-2-22−i2i2−i2i2−22−220000002i−2i2i−2i0000−i2i2−i2i2−22−22000000000000
χ272-22-2002200-22-2-2-220000-22-222−2−22i2−i2−i2i2000000−2i2i2i−2i00002−2−22i2−i2−i2i2000000000000
χ282-22-2002200-22-2-2-220000-22-222−2−22−i2i2i2−i20000002i−2i−2i2i00002−2−22−i2i2i2−i2000000000000
χ292-22-2002200-22-2-2-220000-22-22−222−2i2−i2−i2i20000002i−2i−2i2i0000−222−2i2−i2−i2i2000000000000
χ302-22-2002200-22-2-2-220000-22-22−222−2−i2i2i2−i2000000−2i2i2i−2i0000−222−2−i2i2i2−i2000000000000
χ312-2-222-2222-2-2-222-2-222-2-222-2-20000000022-2-2-220000000000000000-220000000000
χ322-2-222-222-22-2-222-2-222-2-222-2-200000000-2-222-2200000000000000002-20000000000
χ332-2-22-222200-2-222-2-2-2-22222-2-20000000000002-2000000000000000000002i−2i−2i2i0000
χ342-2-22-222200-2-222-2-2-2-22222-2-20000000000002-200000000000000000000−2i2i2i−2i0000
χ352-2-22-222200-2-222-2-2-2-222-2-222000000000000-2222-2-200000000000000-2200000000
χ362-2-22-222200-2-222-2-2-2-222-2-222000000000000-22-2-222000000000000002-200000000
χ374444441-2441-21-2-211-21-20000000022221-21-200000000220000-1-1-1-10000000000-1-1
χ384444441-2441-21-2-211-21-200000000-2-2-2-21-21-200000000-2-200001111000000000011
χ394444441-2-4-41-21-2-211-21-2000000002222-12-1200000000-2-20000-1-1-1-1000000000011
χ404444441-2-4-41-21-2-211-21-200000000-2-2-2-2-12-120000000022000011110000000000-1-1
χ41444444-2144-21-211-2-21-21000022220000-21-210000002200-1-1-1-1000000000000-1-100
χ42444444-2144-21-211-2-21-210000-2-2-2-20000-21-21000000-2-20011110000000000001100
χ43444444-21-4-4-21-211-2-21-210000222200002-12-1000000-2-200-1-1-1-10000000000001100
χ44444444-21-4-4-21-211-2-21-210000-2-2-2-200002-12-100000022001111000000000000-1-100
χ4544-4-40044004-4-4-44-40000-444-4000000000000000000000000000000000000000000
χ464-44-4004400-44-4-4-4400004-44-4000000000000000000000000000000000000000000
χ474-4-444-41-24-4-121-22-11-2-12000000002i2i−2i−2i1-2-12000000002i−2i0000−i−iii0000000000−ii
χ484-4-444-41-24-4-121-22-11-2-1200000000−2i−2i2i2i1-2-1200000000−2i2i0000ii−i−i0000000000i−i
χ494-4-444-41-2-44-121-22-11-2-12000000002i2i−2i−2i-121-200000000−2i2i0000−i−iii0000000000i−i
χ504-4-444-41-2-44-121-22-11-2-1200000000−2i−2i2i2i-121-2000000002i−2i0000ii−i−i0000000000−ii
χ514-4-444-4-214-42-1-21-12-212-100002i2i−2i−2i0000-212-10000002i−2i00−i−iii000000000000−ii00
χ524-4-444-4-214-42-1-21-12-212-10000−2i−2i2i2i0000-212-1000000−2i2i00ii−i−i000000000000i−i00
χ534-4-444-4-21-442-1-21-12-212-100002i2i−2i−2i00002-1-21000000−2i2i00−i−iii000000000000i−i00
χ544-4-444-4-21-442-1-21-12-212-10000−2i−2i2i2i00002-1-210000002i−2i00ii−i−i000000000000−ii00
χ558888-8-82-4002-42-4-42-24-240000000000000000000000000000000000000000000000
χ568888-8-8-4200-42-422-44-24-20000000000000000000000000000000000000000000000
χ5788-8-8002-40024-24-4-200000000000022−2222−22000000000000000000−22−22000000000000
χ5888-8-8002-40024-24-4-2000000000000−2222−22220000000000000000002−22−2000000000000
χ5988-8-800-4200-4-24-224000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000000000000
χ6088-8-800-4200-4-24-22400000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000000000000
χ618-88-8002-400-2-4-24420000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i2000000000000
χ628-88-8002-400-2-4-2442000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i2000000000000
χ638-88-800-4200424-2-2-40000000022−22−2222000000000000000000−222−20000000000000000
χ648-88-800-4200424-2-2-400000000−222222−220000000000000000002−2−220000000000000000
χ658-8-88-882-400-242-44-2-242-40000000000000000000000000000000000000000000000
χ668-8-88-88-42004-2-42-244-2-420000000000000000000000000000000000000000000000

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