Finite Group Databasebeta

← Group #11787558

Character table — Group #11787558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488889999121212121212121216161616181818181818242424242424242424242424363636363636363648484848
order12224422336666661212121222228888888866664444442244242424242424242422444444661212
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
χ5111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1
χ6111111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ8111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91-11-11-11-111-1-1-111-11-11-111-1-111-1-1ii−i−i1-11-11-1ii−i−i1-1i−i11-1-1ii−i−i1-1i−iii−i−i1-1i−i
χ101-11-11-11-111-1-1-111-11-11-111-1-111-1-1−i−iii1-11-11-1−i−iii1-1−ii11-1-1−i−iii1-1−ii−i−iii1-1−ii
χ111-11-11-11-111-1-1-111-11-11-111-1-1-1-111ii−i−i1-11-11-1−i−iii-11i−i-1-111ii−i−i1-1−ii−i−iii-11i−i
χ121-11-11-11-111-1-1-111-11-11-111-1-1-1-111−i−iii1-11-11-1ii−i−i-11−ii-1-111−i−iii1-1i−iii−i−i-11−ii
χ131-11-11-1-1111-1-1-111-11-11-111-1-111-1-1ii−i−i-11-111-1ii−i−i-11−ii11-1-1ii−i−i-11i−i−i−iii-11−ii
χ141-11-11-1-1111-1-1-111-11-11-111-1-111-1-1−i−iii-11-111-1−i−iii-11i−i11-1-1−i−iii-11−iiii−i−i-11i−i
χ151-11-11-1-1111-1-1-111-11-11-111-1-1-1-111ii−i−i-11-111-1−i−iii1-1−ii-1-111ii−i−i-11−iiii−i−i1-1−ii
χ161-11-11-1-1111-1-1-111-11-11-111-1-1-1-111−i−iii-11-111-1ii−i−i1-1i−i-1-111−i−iii-11i−i−i−iii1-1i−i
χ1722222222222222222222-2-2-2-2000000002222-2-20000000000000000-2-20000000000
χ18222222-2-2222222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000220000000000
χ192222-2-20022222222-2-2-2-22222000000000000-2-2222200000000000000-2-200000000
χ202222-2-20022222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ212222-2-20022222222-2-2-2-2-2-2-2-200000000000022000000000000000000002i−2i2i−2i0000
χ222222-2-20022222222-2-2-2-2-2-2-2-20000000000002200000000000000000000−2i2i−2i2i0000
χ2322-2-200002222-2-2-2-200002-22-22−22−2i2−i2i2−i20000002i−2i2i−2i00002−22−2i2−i2i2−i2000000000000
χ2422-2-200002222-2-2-2-200002-22-22−22−2−i2i2−i2i2000000−2i2i−2i2i00002−22−2−i2i2−i2i2000000000000
χ2522-2-200002222-2-2-2-200002-22-2−22−22i2−i2i2−i2000000−2i2i−2i2i0000−22−22i2−i2i2−i2000000000000
χ2622-2-200002222-2-2-2-200002-22-2−22−22−i2i2−i2i20000002i−2i2i−2i0000−22−22−i2i2−i2i2000000000000
χ272-22-22-22-222-2-2-222-22-22-2-2-222000000002-22-2-220000000000000000-220000000000
χ282-22-22-2-2222-2-2-222-22-22-2-2-22200000000-22-22-2200000000000000002-20000000000
χ292-22-2-220022-2-2-222-2-22-2222-2-2000000000000-222i2i−2i−2i00000000000000−2i2i00000000
χ302-22-2-220022-2-2-222-2-22-2222-2-2000000000000-22−2i−2i2i2i000000000000002i−2i00000000
χ312-22-2-220022-2-2-222-2-22-22-2-2220000000000002-2000000000000000000002-2-220000
χ322-22-2-220022-2-2-222-2-22-22-2-2220000000000002-200000000000000000000-222-20000
χ332-2-22000022-2-22-2-2200002-2-222−2−222−2−220000002-2-2200002−2−222−2−22000000000000
χ342-2-22000022-2-22-2-2200002-2-222−2−22−222−2000000-222-200002−2−22−222−2000000000000
χ352-2-22000022-2-22-2-2200002-2-22−222−22−2−22000000-222-20000−222−22−2−22000000000000
χ362-2-22000022-2-22-2-2200002-2-22−222−2−222−20000002-2-220000−222−2−222−2000000000000
χ37444444441-21-2-21-211-2-2100000000222211-2-200000000220000-1-1-1-10000000000-1-1
χ38444444441-21-2-21-211-2-2100000000-2-2-2-211-2-200000000-2-200001111000000000011
χ3944444444-21-211-21-2-211-2000022220000-2-2110000002200-1-1-1-1000000000000-1-100
χ4044444444-21-211-21-2-211-20000-2-2-2-20000-2-211000000-2-20011110000000000001100
χ41444444-4-41-21-2-21-211-2-21000000002222-1-12200000000-2-20000-1-1-1-1000000000011
χ42444444-4-41-21-2-21-211-2-2100000000-2-2-2-2-1-1220000000022000011110000000000-1-1
χ43444444-4-4-21-211-21-2-211-200002222000022-1-1000000-2-200-1-1-1-10000000000001100
χ44444444-4-4-21-211-21-2-211-20000-2-2-2-2000022-1-100000022001111000000000000-1-100
χ4544-4-400004444-4-4-4-40000-44-44000000000000000000000000000000000000000000
χ464-44-44-44-41-2-1221-2-112-2-1000000002i2i−2i−2i1-1-22000000002i−2i0000−i−iii0000000000−ii
χ474-44-44-44-41-2-1221-2-112-2-100000000−2i−2i2i2i1-1-2200000000−2i2i0000ii−i−i0000000000i−i
χ484-44-44-44-4-212-1-1-212-2-112000022-2-20000-221-10000002-200-1-111000000000000-1100
χ494-44-44-44-4-212-1-1-212-2-1120000-2-2220000-221-1000000-220011-1-10000000000001-100
χ504-44-44-4-441-2-1221-2-112-2-1000000002i2i−2i−2i-112-200000000−2i2i0000−i−iii0000000000i−i
χ514-44-44-4-441-2-1221-2-112-2-100000000−2i−2i2i2i-112-2000000002i−2i0000ii−i−i0000000000−ii
χ524-44-44-4-44-212-1-1-212-2-112000022-2-200002-2-11000000-2200-1-1110000000000001-100
χ534-44-44-4-44-212-1-1-212-2-1120000-2-22200002-2-110000002-20011-1-1000000000000-1100
χ544-4-44000044-4-44-4-440000-444-4000000000000000000000000000000000000000000
χ558888-8-8002-42-4-42-42-244-20000000000000000000000000000000000000000000000
χ568888-8-800-42-422-42-44-2-240000000000000000000000000000000000000000000000
χ5788-8-800002-42-44-24-20000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i2000000000000
χ5888-8-800002-42-44-24-2000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i2000000000000
χ5988-8-80000-42-42-24-240000000022−2222−22000000000000000000−22−220000000000000000
χ6088-8-80000-42-42-24-2400000000−2222−22220000000000000000002−22−20000000000000000
χ618-88-8-88002-4-2442-4-2-2-4420000000000000000000000000000000000000000000000
χ628-88-8-8800-424-2-2-42442-2-40000000000000000000000000000000000000000000000
χ638-8-8800002-4-24-4-24200000000000022−22−2222000000000000000000−222−2000000000000
χ648-8-8800002-4-24-4-242000000000000−222222−220000000000000000002−2−22000000000000
χ658-8-880000-424-224-2-40000000022−22−2222000000000000000000−222−20000000000000000
χ668-8-880000-424-224-2-400000000−222222−220000000000000000002−2−220000000000000000

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