Finite Group Databasebeta

← Group #13180812

Character table — Group #13180812

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112268888881218183622441216161616161624363672336618242424242424365454108112268888881218183622441216161616161624363672336618242424242424365454108
order123643336661288236361233366612242462266466666612882226646666661288266661266666612242462266466666612882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1
χ322222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-12000
χ422-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-1000
χ522-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-1000
χ622-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-1000
χ72-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i20
χ82-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i20
χ93333-1000000-111-13333-1000000-111-13333-1000000-111-13333-1000000-111-13333-1000000-111-13333-1000000-111-1
χ103333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-11
χ114-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-10000
χ124-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-120000
χ134-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-10000
χ144-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-10000
χ1566-3-3-2000000100066-3-3-2000000100066-3-3-2000000100066-3-3-2000000100066-3-3-2000000100066-3-3-20000001000
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ1822222-1-1-1-1-1-1200022222-1-1-1-1-1-12000-2-2-2-2-2111111-200022222-1-1-1-1-1-1200022222-1-1-1-1-1-12000-2-2-2-2-2111111-2000
χ1922-1-122-1-12-1-1-100022-1-122-1-12-1-1-1000-2-211-2-211-211100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-1000-2-211-2-211-2111000
χ2022-1-12-12-1-12-1-100022-1-12-12-1-12-1-1000-2-211-21-211-21100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-1000-2-211-21-211-211000
χ2122-1-12-1-12-1-12-100022-1-12-1-12-1-12-1000-2-211-211-211-2100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-1000-2-211-211-211-21000
χ222-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i20-22-220111-1-1-10−i2i202-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i20-22-220111-1-1-10−i2i20
χ232-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i20-22-220111-1-1-10i2−i202-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i20-22-220111-1-1-10i2−i20
χ243333-1000000-111-13333-1000000-111-1-3-3-3-310000001-1-113333-1000000-111-13333-1000000-111-1-3-3-3-310000001-1-11
χ253333-1000000-1-1-113333-1000000-1-1-11-3-3-3-31000000111-13333-1000000-1-1-113333-1000000-1-1-11-3-3-3-31000000111-1
χ264-44-40111-1-1-100004-44-40111-1-1-10000-44-440-1-1-111100004-44-40111-1-1-100004-44-40111-1-1-10000-44-440-1-1-11110000
χ274-4-22011-2-1-1200004-4-22011-2-1-120000-442-20-1-1211-200004-4-22011-2-1-1200004-4-22011-2-1-120000-442-20-1-1211-20000
χ284-4-2201-21-12-100004-4-2201-21-12-10000-442-20-12-11-2100004-4-2201-21-12-100004-4-2201-21-12-10000-442-20-12-11-210000
χ294-4-220-2112-1-100004-4-220-2112-1-10000-442-202-1-1-21100004-4-220-2112-1-100004-4-220-2112-1-10000-442-202-1-1-2110000
χ3066-3-3-2000000100066-3-3-20000001000-6-6332000000-100066-3-3-2000000100066-3-3-20000001000-6-6332000000-1000
χ31222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ32222222222222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111000000000000000222222222222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111000000000000000
χ3344444-2-2-2-2-2-24000-2-2-2-2-2111111-200000000000000000044444-2-2-2-2-2-24000-2-2-2-2-2111111-2000000000000000000
χ3444-2-244-2-24-2-2-2000-2-211-2-211-211100000000000000000044-2-244-2-24-2-2-2000-2-211-2-211-2111000000000000000000
χ3544-2-24-24-2-24-2-2000-2-211-21-211-21100000000000000000044-2-24-24-2-24-2-2000-2-211-21-211-211000000000000000000
χ3644-2-24-2-24-2-24-2000-2-211-211-211-2100000000000000000044-2-24-2-24-2-24-2000-2-211-211-211-21000000000000000000
χ374-44-40-2-2-222202i2−2i20-22-220111-1-1-10−i2i200000000000000004-44-40-2-2-222202i2−2i20-22-220111-1-1-10−i2i20000000000000000
χ384-44-40-2-2-22220−2i22i20-22-220111-1-1-10i2−i200000000000000004-44-40-2-2-22220−2i22i20-22-220111-1-1-10i2−i20000000000000000
χ396666-2000000-222-2-3-3-3-310000001-1-110000000000000006666-2000000-222-2-3-3-3-310000001-1-11000000000000000
χ406666-2000000-2-2-22-3-3-3-31000000111-10000000000000006666-2000000-2-2-22-3-3-3-31000000111-1000000000000000
χ418-88-80222-2-2-20000-44-440-1-1-111100000000000000000008-88-80222-2-2-20000-44-440-1-1-11110000000000000000000
χ428-8-44022-4-2-240000-442-20-1-1211-200000000000000000008-8-44022-4-2-240000-442-20-1-1211-20000000000000000000
χ438-8-4402-42-24-20000-442-20-12-11-2100000000000000000008-8-4402-42-24-20000-442-20-12-11-210000000000000000000
χ448-8-440-4224-2-20000-442-202-1-1-21100000000000000000008-8-440-4224-2-20000-442-202-1-1-2110000000000000000000
χ451212-6-6-40000002000-6-6332000000-10000000000000000001212-6-6-40000002000-6-6332000000-1000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111
χ4822222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-12000-2-2-2-2-2111111-2000-2-2-2-2-2111111-2000-2-2-2-2-2111111-2000
χ4922-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-1000-2-211-2-211-2111000-2-211-2-211-2111000-2-211-2-211-2111000
χ5022-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-1000-2-211-21-211-211000-2-211-21-211-211000-2-211-21-211-211000
χ5122-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-1000-2-211-211-211-21000-2-211-211-211-21000-2-211-211-211-21000
χ522-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i20-22-220111-1-1-10−i2i20-22-220111-1-1-10−i2i20-22-220111-1-1-10−i2i20
χ532-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i20-22-220111-1-1-10i2−i20-22-220111-1-1-10i2−i20-22-220111-1-1-10i2−i20
χ543333-1000000-111-13333-1000000-111-13333-1000000-111-1-3-3-3-310000001-1-11-3-3-3-310000001-1-11-3-3-3-310000001-1-11
χ553333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-11-3-3-3-31000000111-1-3-3-3-31000000111-1-3-3-3-31000000111-1
χ564-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-10000-44-440-1-1-11110000-44-440-1-1-11110000-44-440-1-1-11110000
χ574-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-120000-442-20-1-1211-20000-442-20-1-1211-20000-442-20-1-1211-20000
χ584-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-10000-442-20-12-11-210000-442-20-12-11-210000-442-20-12-11-210000
χ594-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-10000-442-202-1-1-2110000-442-202-1-1-2110000-442-202-1-1-2110000
χ6066-3-3-2000000100066-3-3-2000000100066-3-3-20000001000-6-6332000000-1000-6-6332000000-1000-6-6332000000-1000
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ62111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1
χ6322222-1-1-1-1-1-1200022222-1-1-1-1-1-12000-2-2-2-2-2111111-2000-2-2-2-2-2111111-2000-2-2-2-2-2111111-200022222-1-1-1-1-1-12000
χ6422-1-122-1-12-1-1-100022-1-122-1-12-1-1-1000-2-211-2-211-2111000-2-211-2-211-2111000-2-211-2-211-211100022-1-122-1-12-1-1-1000
χ6522-1-12-12-1-12-1-100022-1-12-12-1-12-1-1000-2-211-21-211-211000-2-211-21-211-211000-2-211-21-211-21100022-1-12-12-1-12-1-1000
χ6622-1-12-1-12-1-12-100022-1-12-1-12-1-12-1000-2-211-211-211-21000-2-211-211-211-21000-2-211-211-211-2100022-1-12-1-12-1-12-1000
χ672-22-20-1-1-11110i2−i202-22-20-1-1-11110i2−i20-22-220111-1-1-10−i2i20-22-220111-1-1-10−i2i20-22-220111-1-1-10−i2i202-22-20-1-1-11110i2−i20
χ682-22-20-1-1-11110−i2i202-22-20-1-1-11110−i2i20-22-220111-1-1-10i2−i20-22-220111-1-1-10i2−i20-22-220111-1-1-10i2−i202-22-20-1-1-11110−i2i20
χ693333-1000000-111-13333-1000000-111-1-3-3-3-310000001-1-11-3-3-3-310000001-1-11-3-3-3-310000001-1-113333-1000000-111-1
χ703333-1000000-1-1-113333-1000000-1-1-11-3-3-3-31000000111-1-3-3-3-31000000111-1-3-3-3-31000000111-13333-1000000-1-1-11
χ714-44-40111-1-1-100004-44-40111-1-1-10000-44-440-1-1-11110000-44-440-1-1-11110000-44-440-1-1-111100004-44-40111-1-1-10000
χ724-4-22011-2-1-1200004-4-22011-2-1-120000-442-20-1-1211-20000-442-20-1-1211-20000-442-20-1-1211-200004-4-22011-2-1-120000
χ734-4-2201-21-12-100004-4-2201-21-12-10000-442-20-12-11-210000-442-20-12-11-210000-442-20-12-11-2100004-4-2201-21-12-10000
χ744-4-220-2112-1-100004-4-220-2112-1-10000-442-202-1-1-2110000-442-202-1-1-2110000-442-202-1-1-21100004-4-220-2112-1-10000
χ7566-3-3-2000000100066-3-3-20000001000-6-6332000000-1000-6-6332000000-1000-6-6332000000-100066-3-3-20000001000
χ76222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111000000000000000
χ77222222222222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222111111111111-1-1-1000000000000000
χ7844444-2-2-2-2-2-24000-2-2-2-2-2111111-2000000000000000000-4-4-4-4-4222222-400022222-1-1-1-1-1-12000000000000000000
χ7944-2-244-2-24-2-2-2000-2-211-2-211-2111000000000000000000-4-422-4-422-422200022-1-122-1-12-1-1-1000000000000000000
χ8044-2-24-24-2-24-2-2000-2-211-21-211-211000000000000000000-4-422-42-422-42200022-1-12-12-1-12-1-1000000000000000000
χ8144-2-24-2-24-2-24-2000-2-211-211-211-21000000000000000000-4-422-422-422-4200022-1-12-1-12-1-12-1000000000000000000
χ824-44-40-2-2-222202i2−2i20-22-220111-1-1-10−i2i20000000000000000-44-440222-2-2-20−2i22i202-22-20-1-1-11110i2−i20000000000000000
χ834-44-40-2-2-22220−2i22i20-22-220111-1-1-10i2−i20000000000000000-44-440222-2-2-202i2−2i202-22-20-1-1-11110−i2i20000000000000000
χ846666-2000000-222-2-3-3-3-310000001-1-11000000000000000-6-6-6-620000002-2-223333-1000000-111-1000000000000000
χ856666-2000000-2-2-22-3-3-3-31000000111-1000000000000000-6-6-6-62000000222-23333-1000000-1-1-11000000000000000
χ868-88-80222-2-2-20000-44-440-1-1-11110000000000000000000-88-880-2-2-222200004-44-40111-1-1-10000000000000000000
χ878-8-44022-4-2-240000-442-20-1-1211-20000000000000000000-884-40-2-2422-400004-4-22011-2-1-120000000000000000000
χ888-8-4402-42-24-20000-442-20-12-11-210000000000000000000-884-40-24-22-4200004-4-2201-21-12-10000000000000000000
χ898-8-440-4224-2-20000-442-202-1-1-2110000000000000000000-884-404-2-2-42200004-4-220-2112-1-10000000000000000000
χ901212-6-6-40000002000-6-6332000000-1000000000000000000-12-12664000000-200066-3-3-20000001000000000000000000

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