Finite Group Databasebeta

← Group #11786475

Character table — Group #11786475

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order1222443344666666222212121212121212122222444444666688881212444412121212121224242424448888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-11111111111111-1-1-1-11111111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-11111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-1-1111i−i-11-11-1-111-1-1-11-1ii−i−i111-1-11-1ii−i−i11-1-111-1-1i−i-11i−i1-1ii−i−i11-1-1i−i11-1-1i−ii−i
χ101-11-1-1111i−i-11-11-1-111-1-1-11-1ii−i−i111-1-11-1ii−i−i11-1-1-1-111i−i-11−ii1-1ii−i−i-1-111i−i-1-111−ii−ii
χ111-11-1-1111i−i-11-11-1-1-1-111-11-1ii−i−i111-1-1-11−i−iii-1-11111-1-1i−i-11i−i-11−i−iii11-1-1i−i-1-111i−i−ii
χ121-11-1-1111i−i-11-11-1-1-1-111-11-1ii−i−i111-1-1-11−i−iii-1-111-1-111i−i-11−ii-11−i−iii-1-111i−i11-1-1−iii−i
χ131-11-1-1111−ii-11-11-1-111-1-1-11-1−i−iii111-1-11-1−i−iii11-1-111-1-1−ii-11−ii1-1−i−iii11-1-1−ii11-1-1−ii−ii
χ141-11-1-1111−ii-11-11-1-111-1-1-11-1−i−iii111-1-11-1−i−iii11-1-1-1-111−ii-11i−i1-1−i−iii-1-111−ii-1-111i−ii−i
χ151-11-1-1111−ii-11-11-1-1-1-111-11-1−i−iii111-1-1-11ii−i−i-1-11111-1-1−ii-11−ii-11ii−i−i11-1-1−ii-1-111−iii−i
χ161-11-1-1111−ii-11-11-1-1-1-111-11-1−i−iii111-1-1-11ii−i−i-1-111-1-111−ii-11i−i-11ii−i−i-1-111−ii11-1-1i−i−ii
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ1822222222-2-22222220000222-2-2-2-22-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-222002222220000-2-2-20000-2-2-2-2-2002-22-200000000002200002-22-200000000000000
χ202222-2-222002222220000-2-2-20000-2-2-2-2-200-22-220000000000220000-22-2200000000000000
χ212222-2-222002222222222-2-2-20000-22222-2-200002222000000-2-200-2-2000000000000000000
χ222222-2-22200222222-2-2-2-2-2-2-20000-22222220000-2-2-2-2000000-2-20022000000000000000000
χ2322-2-20022002-2-2-22-22-22-2000000002-2-220000002-22-2i2−i2i2−i2000000000000i2−i2i2−i200i2−i2i2−i20000
χ2422-2-20022002-2-2-22-22-22-2000000002-2-220000002-22-2−i2i2−i2i2000000000000−i2i2−i2i200−i2i2−i2i20000
χ2522-2-20022002-2-2-22-2-22-22000000002-2-22000000-22-22i2−i2i2−i2000000000000i2−i2i2−i200−i2i2−i2i20000
χ2622-2-20022002-2-2-22-2-22-22000000002-2-22000000-22-22−i2i2−i2i2000000000000−i2i2−i2i200i2−i2i2−i20000
χ272-22-22-22200-22-22-2-200002-220000-2-2-222002i−2i−2i2i0000000000-2200002i−2i−2i2i00000000000000
χ282-22-22-22200-22-22-2-200002-220000-2-2-22200−2i2i2i−2i0000000000-220000−2i2i2i−2i00000000000000
χ292-22-22-22200-22-22-2-222-2-22-220000-222-2-2-22000022-2-20000002-200-22000000000000000000
χ302-22-22-22200-22-22-2-2-2-2222-220000-222-2-22-20000-2-2220000002-2002-2000000000000000000
χ312-22-2-22222i−2i-22-22-2-20000-22-22i2i−2i−2i2-2-222000000000000002i−2i2-2000000000000−2i2i00000000
χ322-22-2-2222−2i2i-22-22-2-20000-22-2−2i−2i2i2i2-2-22200000000000000−2i2i2-20000000000002i−2i00000000
χ332-2-22002200-2-22-2-222-2-22000000002-22-20000002-2-22i2−i2−i2i2000000000000i2−i2−i2i200i2−i2−i2i20000
χ342-2-22002200-2-22-2-222-2-22000000002-22-20000002-2-22−i2i2i2−i2000000000000−i2i2i2−i200−i2i2i2−i20000
χ352-2-22002200-2-22-2-22-222-2000000002-22-2000000-222-2i2−i2−i2i2000000000000i2−i2−i2i200−i2i2i2−i20000
χ362-2-22002200-2-22-2-22-222-2000000002-22-2000000-222-2−i2i2i2−i2000000000000−i2i2i2−i200i2−i2−i2i20000
χ374444441-244-211-21-200001-2-2-2-2-2-21000000000000002222110022000000-1-1-1-1000000-1-100
χ384444441-244-211-21-200001-2-2-2-2-2-2100000000000000-2-2-2-21100-2-200000011110000001100
χ394444441-2-4-4-211-21-200001-2-222221000000000000002222-1-100-2-2000000-1-1-1-10000001100
χ404444441-2-4-4-211-21-200001-2-22222100000000000000-2-2-2-2-1-100220000001111000000-1-100
χ41444444-21441-2-21-212222-2111111-20000222222-1-1-1-10000-2-20000-1-1-1-1-1-100000000000000
χ42444444-21441-2-21-21-2-2-2-2-2111111-20000-2-2-2-2-2-211110000-2-2000011111100000000000000
χ43444444-21-4-41-2-21-212222-211-1-1-1-1-2000022-2-2-2-2-1-1-1-10000220000-1-1111100000000000000
χ44444444-21-4-41-2-21-21-2-2-2-2-211-1-1-1-1-20000-2-222221111000022000011-1-1-1-100000000000000
χ454444-4-4-21001-2-21-2122222-1-13-33-320000-2-22-22-2-1-1-1-1000000000011-11-1100000000000000
χ464444-4-4-21001-2-21-2122222-1-1-33-3320000-2-2-22-22-1-1-1-10000000000111-11-100000000000000
χ474444-4-4-21001-2-21-21-2-2-2-22-1-13-33-32000022-22-2211110000000000-1-11-11-100000000000000
χ484444-4-4-21001-2-21-21-2-2-2-22-1-1-33-3320000222-22-211110000000000-1-1-11-1100000000000000
χ4944-4-40044004-4-4-44-4000000000000-444-40000000000000000000000000000000000000000
χ504-44-44-4-2100-1-2212-122-2-2-2-113i−3i−3i3i20000-222i−2i−2i2i-1-11100000000001-1−iii−i00000000000000
χ514-44-44-4-2100-1-2212-122-2-2-2-11−3i3i3i−3i20000-22−2i2i2i−2i-1-11100000000001-1i−i−ii00000000000000
χ524-44-44-4-2100-1-2212-1-2-222-2-113i−3i−3i3i200002-2−2i2i2i−2i11-1-10000000000-11i−i−ii00000000000000
χ534-44-44-4-2100-1-2212-1-2-222-2-11−3i3i3i−3i200002-22i−2i−2i2i11-1-10000000000-11−iii−i00000000000000
χ544-44-4-441-24i−4i21-1-2-120000-1-22−2i−2i2i2i10000000000000022-2-2i−i002i−2i000000-1-111000000−ii00
χ554-44-4-441-24i−4i21-1-2-120000-1-22−2i−2i2i2i100000000000000-2-222i−i00−2i2i00000011-1-1000000i−i00
χ564-44-4-441-2−4i4i21-1-2-120000-1-222i2i−2i−2i10000000000000022-2-2−ii00−2i2i000000-1-111000000i−i00
χ574-44-4-441-2−4i4i21-1-2-120000-1-222i2i−2i−2i100000000000000-2-222−ii002i−2i00000011-1-1000000−ii00
χ584-44-4-44-214i−4i-1-2212-122-2-221-1ii−i−i-200002-22i2i−2i−2i-1-1110000−2i2i0000-11−i−iii00000000000000
χ594-44-4-44-214i−4i-1-2212-1-2-22221-1ii−i−i-20000-22−2i−2i2i2i11-1-10000−2i2i00001-1ii−i−i00000000000000
χ604-44-4-44-21−4i4i-1-2212-122-2-221-1−i−iii-200002-2−2i−2i2i2i-1-11100002i−2i0000-11ii−i−i00000000000000
χ614-44-4-44-21−4i4i-1-2212-1-2-22221-1−i−iii-20000-222i2i−2i−2i11-1-100002i−2i00001-1−i−iii00000000000000
χ624-4-44004400-4-44-4-44000000000000-44-440000000000000000000000000000000000000000
χ638888-8-82-400-422-42-40000-2440000-200000000000000000000000000000000000000000000
χ6488-8-8002-400-4-2-2424000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i20000000000
χ6588-8-8002-400-4-2-242400000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i20000000000
χ6688-8-800-4200244-2-4-24-44-4000000000000000000-22-22000000000000000000000000000000
χ6788-8-800-4200244-2-4-2-44-440000000000000000002-22-2000000000000000000000000000000
χ688-88-88-82-40042-2-4-24000024-40000-200000000000000000000000000000000000000000000
χ698-8-88002-4004-224-2-4000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000
χ708-8-88002-4004-224-2-400000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000
χ718-8-8800-4200-24-4-2424-4-44000000000000000000-222-2000000000000000000000000000000
χ728-8-8800-4200-24-4-242-444-40000000000000000002-2-22000000000000000000000000000000

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