Finite Group Databasebeta

← Group #11811931

Character table — Group #11811931

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444666688888888999912121212121212121212121212121616181824242424242424242424242436363636363648487272
order122244223366666644446666121212122222224444444412121212664444661212121212121212224444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1
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
χ5111111-1-1111111111111-1-1-1-111111111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1
χ91111-1-11-111111111111111-1-1-1-1-1-11111-1-111-1-111-1-111111-1-1-11-1-1-111-1-111-1-11-111-1-11-11-1
χ101111-1-11-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-11-1-1-111-11-11
χ111111-1-11-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1-11-11111-1-1-1-1111-1-1-1111-1-11
χ121111-1-11-111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-1-1-1-1111-1-111-1-1111-111-1-1-111-1
χ131111-1-1-11111111111111-1-111-1-1-1-11111-1-111-1-1-1-1111111-11-1-1-11-1-111-1-1-1-111-1111-1-1-11-11
χ141111-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-111-1-111-11-1-1111-11-1
χ151111-1-1-1111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1-1-111111-1-111-1-1-11-1-111-111-1
χ161111-1-1-1111111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-11-1-11-111-1-11111-1-1-1111-1-11-1-11
χ172222222222222222000022222222-2-2-2-20000000000000022-2-2000000000000-2-200000000
χ18222222-2-2222222220000-2-2-2-22222-2-2-2-200000000000000-2-2-2-20000000000002200000000
χ192222-2-22-222222222000022-2-2-2-2-2-2-2-2-2-2000000000000002-222000000000000-2200000000
χ202222-2-2-22222222220000-2-222-2-2-2-2-2-2-2-200000000000000-22220000000000002-200000000
χ2122-2-20000222-22-2-2-22i2i−2i−2i00000000-22-2200002i−2i00002i2i−2i−2i00000000002i−2i000000002-20000
χ2222-2-20000222-22-2-2-22i2i−2i−2i00000000-22-220000−2i2i00002i2i−2i−2i0000000000−2i2i00000000-220000
χ2322-2-20000222-22-2-2-2−2i−2i2i2i00000000-22-2200002i−2i0000−2i−2i2i2i00000000002i−2i00000000-220000
χ2422-2-20000222-22-2-2-2−2i−2i2i2i00000000-22-220000−2i2i0000−2i−2i2i2i0000000000−2i2i000000002-20000
χ252-22-2000022-22-22-2-22i−2i2i−2i00000000-2-222002i−2i0000002i−2i2i−2i000000002i−2i000000002-2000000
χ262-22-2000022-22-22-2-22i−2i2i−2i00000000-2-22200−2i2i0000002i−2i2i−2i00000000−2i2i00000000-22000000
χ272-22-2000022-22-22-2-2−2i2i−2i2i00000000-2-222002i−2i000000−2i2i−2i2i000000002i−2i00000000-22000000
χ282-22-2000022-22-22-2-2−2i2i−2i2i00000000-2-22200−2i2i000000−2i2i−2i2i00000000−2i2i000000002-2000000
χ292-2-222-20022-2-2-2-222000000002-22-2-222-20000002-22-20000002-2000000002-22-20000000000
χ302-2-222-20022-2-2-2-222000000002-22-2-222-2000000-22-220000002-200000000-22-220000000000
χ312-2-222-20022-2-2-2-2222-2-2200002-22-22-2-222-2000000002-2-2200-22002-2000000000000000000
χ322-2-222-20022-2-2-2-222-222-200002-22-22-2-22-2200000000-222-200-2200-22000000000000000000
χ332-2-22-220022-2-2-2-22200000000-22-22-222-20000002-2-22000000-22000000002-2-220000000000
χ342-2-22-220022-2-2-2-22200000000-22-22-222-2000000-222-2000000-2200000000-222-20000000000
χ352-2-22-220022-2-2-2-2222-2-220000-22-222-2-22-22000000002-2-22002-200-22000000000000000000
χ362-2-22-220022-2-2-2-222-222-20000-22-222-2-222-200000000-222-2002-2002-2000000000000000000
χ37444444441-2-2-2111-20000-2-2-2-211-2-200000022220000000011002200-1-1-1-10000000000-1-100
χ38444444441-2-2-2111-20000-2-2-2-211-2-2000000-2-2-2-2000000001100-2-200111100000000001100
χ3944444444-2111-2-2-2122221111-2-21100002200002222-1-1-1-1-2-20000-1-10000-1-1-1-10000000000
χ4044444444-2111-2-2-21-2-2-2-21111-2-2110000-2-20000-2-2-2-21111-2-2000011000011110000000000
χ41444444-4-41-2-2-2111-20000222211-2-2000000222200000000-1-100-2-200-1-1-1-100000000001100
χ42444444-4-41-2-2-2111-20000222211-2-2000000-2-2-2-200000000-1-100220011110000000000-1-100
χ43444444-4-4-2111-2-2-212222-1-1-1-1-2-2110000220000-2-2-2-2-1-1-1-1220000-1-1000011110000000000
χ44444444-4-4-2111-2-2-21-2-2-2-2-1-1-1-1-2-2110000-2-2000022221111220000110000-1-1-1-10000000000
χ454444-4-44-41-2-2-2111-20000-2-222-1-12200000022-2-2000000001-1002-200-1-1110000000000-1100
χ464444-4-44-41-2-2-2111-20000-2-222-1-122000000-2-222000000001-100-220011-1-100000000001-100
χ474444-4-44-4-2111-2-2-21222211-1-122-1-10000-2-2000022-2-2-1-1-1-1-220000110000-1-1110000000000
χ484444-4-44-4-2111-2-2-21-2-2-2-211-1-122-1-10000220000-2-2221111-220000-1-1000011-1-10000000000
χ494444-4-4-441-2-2-2111-2000022-2-2-1-12200000022-2-200000000-1100-2200-1-11100000000001-100
χ504444-4-4-441-2-2-2111-2000022-2-2-1-122000000-2-22200000000-11002-20011-1-10000000000-1100
χ514444-4-4-44-2111-2-2-212222-1-11122-1-10000-2-20000-2-222-1-1-1-12-2000011000011-1-10000000000
χ524444-4-4-44-2111-2-2-21-2-2-2-2-1-11122-1-1000022000022-2-211112-20000-1-10000-1-1110000000000
χ5344-4-40000444-44-4-4-40000000000004-44-40000000000000000000000000000000000000000
χ544-44-4000044-44-44-4-400000000000044-4-40000000000000000000000000000000000000000
χ554-4-444-400-21-1-122-212-2-223-33-3-221-100002-200002-22-2-111-1000000-110000-11-110000000000
χ564-4-444-400-21-1-122-212-2-22-33-33-221-100002-20000-22-22-111-1000000-1100001-11-10000000000
χ574-4-444-400-21-1-122-21-222-23-33-3-221-10000-220000-22-221-1-110000001-100001-11-10000000000
χ584-4-444-400-21-1-122-21-222-2-33-33-221-10000-2200002-22-21-1-110000001-10000-11-110000000000
χ594-4-44-4400-21-1-122-212-2-223-3-332-2-110000-2200002-2-22-111-10000001-10000-111-10000000000
χ604-4-44-4400-21-1-122-212-2-22-333-32-2-110000-220000-222-2-111-10000001-100001-1-110000000000
χ614-4-44-4400-21-1-122-21-222-23-3-332-2-1100002-20000-222-21-1-11000000-1100001-1-110000000000
χ624-4-44-4400-21-1-122-21-222-2-333-32-2-1100002-200002-2-221-1-11000000-110000-111-10000000000
χ6388-8-800002-4-442-2-24000000000000000000004i−4i000000000000000000−2i2i00000000000000
χ6488-8-800002-4-442-2-2400000000000000000000−4i4i0000000000000000002i−2i00000000000000
χ6588-8-80000-422-2-444-24i4i−4i−4i0000000000000000000000−2i−2i2i2i00000000000000000000000000
χ6688-8-80000-422-2-444-2−4i−4i4i4i00000000000000000000002i2i−2i−2i00000000000000000000000000
χ678-88-800002-44-4-22-240000000000000000004i−4i000000000000000000−2i2i0000000000000000
χ688-88-800002-44-4-22-24000000000000000000−4i4i0000000000000000002i−2i0000000000000000
χ698-88-80000-42-224-44-24i−4i4i−4i0000000000000000000000−2i2i−2i2i00000000000000000000000000
χ708-88-80000-42-224-44-2−4i4i−4i4i00000000000000000000002i−2i2i−2i00000000000000000000000000
χ718-8-888-8002-444-2-22-4000000002-2-4400000000000000000000000000000000000000000000
χ728-8-88-88002-444-2-22-400000000-224-400000000000000000000000000000000000000000000

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