Finite Group Databasebeta

← Group #11865660

Character table — Group #11865660

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12224444334666666121212121212121212121212121222224444444444444444121212121212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1111-11-111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1111-11-1-1-111-1-111-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-11-11-1-111-1-111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-2-2-2-2-222-2-222-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-222-2-222-2-2222200000000-2-2-2-20000000000002000000000000
χ2122-2-22-20022022-2-2-2-222-2-22-20000000022-2-2000000002-20000000000000002−22−22−22−20000
χ2222-2-22-20022022-2-2-2-222-2-22-20000000022-2-2000000002-2000000000000000−22−22−22−220000
χ2322-2-22-20022022-2-2-2-222-2-22-200000000-2-22200000000-220000000000000002−22−2−22−220000
χ2422-2-22-20022022-2-2-2-222-2-22-200000000-2-22200000000-22000000000000000−22−222−22−20000
χ2522-2-2-220022022-2-2-2-2-2-222-220000000022-2-200000000-220000000000000002−2−222−2−220000
χ2622-2-2-220022022-2-2-2-2-2-222-220000000022-2-200000000-22000000000000000−222−2−222−20000
χ2722-2-2-220022022-2-2-2-2-2-222-2200000000-2-222000000002-20000000000000002−2−22−222−20000
χ2822-2-2-220022022-2-2-2-2-2-222-2200000000-2-222000000002-2000000000000000−222−22−2−220000
χ292-2-22002-2220-2-2-22-22000000002-2002-22-22-200002-22-200-220000002-2002-20000000000000
χ302-2-22002-2220-2-2-22-22000000002-2002-22-22-20000-22-2200-22000000-2200-220000000000000
χ312-2-22002-2220-2-2-22-22000000002-2002-2-22-222i−2i2i−2i0000002-200002i−2i002i−2i000000000000000
χ322-2-22002-2220-2-2-22-22000000002-2002-2-22-22−2i2i−2i2i0000002-20000−2i2i00−2i2i000000000000000
χ332-2-2200-22220-2-2-22-2200000000-2200-222-22-22i−2i−2i2i0000002-200002i−2i00−2i2i000000000000000
χ342-2-2200-22220-2-2-22-2200000000-2200-222-22-2−2i2i2i−2i0000002-20000−2i2i002i−2i000000000000000
χ352-2-2200-22220-2-2-22-2200000000-2200-22-22-2200002-2-2200-220000002-200-220000000000000
χ362-2-2200-22220-2-2-22-2200000000-2200-22-22-220000-222-200-22000000-22002-20000000000000
χ37444444441-241-21-2-21-2-2-2-21111-2-2-2-2110000000000000000222200000000000000000-1-1-1-1
χ38444444441-241-21-2-21-2-2-2-21111-2-2-2-2110000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-21-211-21111-2-2-2-21111-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-21-211-21111-2-2-2-21111-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-41-21-2-21-2-2-2-211-1-12222-1-1000000000000000022-2-200000000000000000-1-111
χ42444444-4-41-2-41-21-2-21-2-2-2-211-1-12222-1-10000000000000000-2-2220000000000000000011-1-1
χ43444444-4-4-21-4-21-211-21111-2-222-1-1-1-122000022-2-222-2-200000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-21-211-21111-2-222-1-1-1-1220000-2-222-2-222000000001111-1-1-1-10000000000000
χ454444-4-4441-2-41-21-2-212222-1-1-1-1-2-2221100000000000000002-22-200000000000000000-11-11
χ464444-4-4441-2-41-21-2-212222-1-1-1-1-2-222110000000000000000-22-22000000000000000001-11-1
χ474444-4-444-21-4-21-211-2-1-1-1-1222211-1-1-2-200002222-2-2-2-200000000-1-111-1-1110000000000000
χ484444-4-444-21-4-21-211-2-1-1-1-1222211-1-1-2-20000-2-2-2-222220000000011-1-111-1-10000000000000
χ494444-4-4-4-41-241-21-2-212222-1-11122-2-2-1-100000000000000002-2-2200000000000000000-111-1
χ504444-4-4-4-41-241-21-2-212222-1-11122-2-2-1-10000000000000000-222-2000000000000000001-1-11
χ514444-4-4-4-4-214-21-211-2-1-1-1-122-2-2-1-11122000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-4-214-21-211-2-1-1-1-122-2-2-1-111220000-2-22222-2-20000000011-1-1-1-1110000000000000
χ534-44-40000440-4-44-44-4000000000000004-4-440000000000000000000000000000000000000
χ544-44-40000440-4-44-44-400000000000000-444-40000000000000000000000000000000000000
χ554-4-44004-4-2102-121-1-23i−3i3i−3i00001-13i−3i-2200002i−2i2i−2i2-22-200000000−ii-11−ii-110000000000000
χ564-4-44004-4-2102-121-1-23i−3i3i−3i00001-13i−3i-220000−2i2i−2i2i-22-2200000000i−i1-1i−i1-10000000000000
χ574-4-44004-4-2102-121-1-2−3i3i−3i3i00001-1−3i3i-2200002i−2i2i−2i-22-2200000000−ii1-1−ii1-10000000000000
χ584-4-44004-4-2102-121-1-2−3i3i−3i3i00001-1−3i3i-220000−2i2i−2i2i2-22-200000000i−i-11i−i-110000000000000
χ594-4-4400-44-2102-121-1-23i−3i3i−3i0000-11−3i3i2-200002i−2i−2i2i2-2-2200000000−ii-11i−i1-10000000000000
χ604-4-4400-44-2102-121-1-23i−3i3i−3i0000-11−3i3i2-20000−2i2i2i−2i-222-200000000i−i1-1−ii-110000000000000
χ614-4-4400-44-2102-121-1-2−3i3i−3i3i0000-113i−3i2-200002i−2i−2i2i-222-200000000−ii1-1i−i-110000000000000
χ624-4-4400-44-2102-121-1-2−3i3i−3i3i0000-113i−3i2-20000−2i2i2i−2i2-2-2200000000i−i-11−ii1-10000000000000
χ6388-8-88-8002-402-4-244-2-4-4442-20000000000000000000000000000000000000000000000000
χ6488-8-88-800-420-424-2-2422-2-2-440000000000000000000000000000000000000000000000000
χ6588-8-8-88002-402-4-244-244-4-4-220000000000000000000000000000000000000000000000000
χ6688-8-8-8800-420-424-2-24-2-2224-40000000000000000000000000000000000000000000000000
χ678-88-800002-40-2424-4-20000006-600000000000000000000000000000000000000000000000
χ688-88-800002-40-2424-4-2000000-6600000000000000000000000000000000000000000000000
χ698-88-80000-4204-2-4-2246i−6i−6i6i000000000000000000000000000000000000000000000000000
χ708-88-80000-4204-2-4-224−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ718-8-88008-82-40-24-2-44200000000-44002-200000000000000000000000000000000000000000
χ728-8-8800-882-40-24-2-442000000004-400-2200000000000000000000000000000000000000000

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