Finite Group Databasebeta

← Group #13166015

Character table — Group #13166015

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112268888881218183611226888888121818362244121616161616162436367222441216161616161624363672336618242424242424365454108336618242424242424365454108
order123643336661288422664666666128843636123336661224241266661266666612242412441212412121212121212884441212412121212121212884
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
χ72-22-20-1-1-111102−202-22-20-1-1-111102−202-22-20-1-1-111102−202-22-20-1-1-111102−202-22-20-1-1-111102−202-22-20-1-1-111102−20
χ82-22-20-1-1-11110−2202-22-20-1-1-11110−2202-22-20-1-1-11110−2202-22-20-1-1-11110−2202-22-20-1-1-11110−2202-22-20-1-1-11110−220
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
χ16111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1822222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-1200022222-1-1-1-1-1-12000-2-2-2-2-2111111-2000-2-2-2-2-2111111-2000
χ1922-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-100022-1-122-1-12-1-1-1000-2-211-2-211-2111000-2-211-2-211-2111000
χ2022-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-100022-1-12-12-1-12-1-1000-2-211-21-211-211000-2-211-21-211-211000
χ2122-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-100022-1-12-1-12-1-12-1000-2-211-211-211-21000-2-211-211-211-21000
χ222-22-20-1-1-111102−202-22-20-1-1-111102−202-22-20-1-1-111102−202-22-20-1-1-111102−20-22-220111-1-1-10−220-22-220111-1-1-10−220
χ232-22-20-1-1-11110−2202-22-20-1-1-11110−2202-22-20-1-1-11110−2202-22-20-1-1-11110−220-22-220111-1-1-102−20-22-220111-1-1-102−20
χ243333-1000000-111-13333-1000000-111-13333-1000000-111-13333-1000000-111-1-3-3-3-310000001-1-11-3-3-3-310000001-1-11
χ253333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-113333-1000000-1-1-11-3-3-3-31000000111-1-3-3-3-31000000111-1
χ264-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-100004-44-40111-1-1-10000-44-440-1-1-11110000-44-440-1-1-11110000
χ274-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-1200004-4-22011-2-1-120000-442-20-1-1211-20000-442-20-1-1211-20000
χ284-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-100004-4-2201-21-12-10000-442-20-12-11-210000-442-20-12-11-210000
χ294-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-100004-4-220-2112-1-10000-442-202-1-1-2110000-442-202-1-1-2110000
χ3066-3-3-2000000100066-3-3-2000000100066-3-3-2000000100066-3-3-20000001000-6-6332000000-1000-6-6332000000-1000
χ31111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiii
χ3322222-1-1-1-1-1-12000-2-2-2-2-2111111-200022222-1-1-1-1-1-12000-2-2-2-2-2111111-20002i2i2i2i2i−i−i−i−i−i−i2i000−2i−2i−2i−2i−2iiiiiii−2i000
χ3422-1-122-1-12-1-1-1000-2-211-2-211-211100022-1-122-1-12-1-1-1000-2-211-2-211-21110002i2i−i−i2i2i−i−i2i−i−i−i000−2i−2iii−2i−2iii−2iiii000
χ3522-1-12-12-1-12-1-1000-2-211-21-211-21100022-1-12-12-1-12-1-1000-2-211-21-211-2110002i2i−i−i2i−i2i−i−i2i−i−i000−2i−2iii−2ii−2iii−2iii000
χ3622-1-12-1-12-1-12-1000-2-211-211-211-2100022-1-12-1-12-1-12-1000-2-211-211-211-210002i2i−i−i2i−i−i2i−i−i2i−i000−2i−2iii−2iii−2iii−2ii000
χ372-22-20-1-1-111102−20-22-220111-1-1-10−2202-22-20-1-1-111102−20-22-220111-1-1-10−2202i−2i2i−2i0−i−i−iiii0i2−i20−2i2i−2i2i0iii−i−i−i0−i2i20
χ382-22-20-1-1-11110−220-22-220111-1-1-102−202-22-20-1-1-11110−220-22-220111-1-1-102−202i−2i2i−2i0−i−i−iiii0−i2i20−2i2i−2i2i0iii−i−i−i0i2−i20
χ393333-1000000-111-1-3-3-3-310000001-1-113333-1000000-111-1-3-3-3-310000001-1-113i3i3i3i−i000000−iii−i−3i−3i−3i−3ii000000i−i−ii
χ403333-1000000-1-1-11-3-3-3-31000000111-13333-1000000-1-1-11-3-3-3-31000000111-13i3i3i3i−i000000−i−i−ii−3i−3i−3i−3ii000000iii−i
χ414-44-40111-1-1-10000-44-440-1-1-111100004-44-40111-1-1-10000-44-440-1-1-111100004i−4i4i−4i0iii−i−i−i0000−4i4i−4i4i0−i−i−iiii0000
χ424-4-22011-2-1-120000-442-20-1-1211-200004-4-22011-2-1-120000-442-20-1-1211-200004i−4i−2i2i0ii−2i−i−i2i0000−4i4i2i−2i0−i−i2iii−2i0000
χ434-4-2201-21-12-10000-442-20-12-11-2100004-4-2201-21-12-10000-442-20-12-11-2100004i−4i−2i2i0i−2ii−i2i−i0000−4i4i2i−2i0−i2i−ii−2ii0000
χ444-4-220-2112-1-10000-442-202-1-1-21100004-4-220-2112-1-10000-442-202-1-1-21100004i−4i−2i2i0−2iii2i−i−i0000−4i4i2i−2i02i−i−i−2iii0000
χ4566-3-3-20000001000-6-6332000000-100066-3-3-20000001000-6-6332000000-10006i6i−3i−3i−2i000000i000−6i−6i3i3i2i000000−i000
χ46111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii
χ47111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii−i−i−i
χ4822222-1-1-1-1-1-12000-2-2-2-2-2111111-200022222-1-1-1-1-1-12000-2-2-2-2-2111111-2000−2i−2i−2i−2i−2iiiiiii−2i0002i2i2i2i2i−i−i−i−i−i−i2i000
χ4922-1-122-1-12-1-1-1000-2-211-2-211-211100022-1-122-1-12-1-1-1000-2-211-2-211-2111000−2i−2iii−2i−2iii−2iiii0002i2i−i−i2i2i−i−i2i−i−i−i000
χ5022-1-12-12-1-12-1-1000-2-211-21-211-21100022-1-12-12-1-12-1-1000-2-211-21-211-211000−2i−2iii−2ii−2iii−2iii0002i2i−i−i2i−i2i−i−i2i−i−i000
χ5122-1-12-1-12-1-12-1000-2-211-211-211-2100022-1-12-1-12-1-12-1000-2-211-211-211-21000−2i−2iii−2iii−2iii−2ii0002i2i−i−i2i−i−i2i−i−i2i−i000
χ522-22-20-1-1-111102−20-22-220111-1-1-10−2202-22-20-1-1-111102−20-22-220111-1-1-10−220−2i2i−2i2i0iii−i−i−i0−i2i202i−2i2i−2i0−i−i−iiii0i2−i20
χ532-22-20-1-1-11110−220-22-220111-1-1-102−202-22-20-1-1-11110−220-22-220111-1-1-102−20−2i2i−2i2i0iii−i−i−i0i2−i202i−2i2i−2i0−i−i−iiii0−i2i20
χ543333-1000000-111-1-3-3-3-310000001-1-113333-1000000-111-1-3-3-3-310000001-1-11−3i−3i−3i−3ii000000i−i−ii3i3i3i3i−i000000−iii−i
χ553333-1000000-1-1-11-3-3-3-31000000111-13333-1000000-1-1-11-3-3-3-31000000111-1−3i−3i−3i−3ii000000iii−i3i3i3i3i−i000000−i−i−ii
χ564-44-40111-1-1-10000-44-440-1-1-111100004-44-40111-1-1-10000-44-440-1-1-11110000−4i4i−4i4i0−i−i−iiii00004i−4i4i−4i0iii−i−i−i0000
χ574-4-22011-2-1-120000-442-20-1-1211-200004-4-22011-2-1-120000-442-20-1-1211-20000−4i4i2i−2i0−i−i2iii−2i00004i−4i−2i2i0ii−2i−i−i2i0000
χ584-4-2201-21-12-10000-442-20-12-11-2100004-4-2201-21-12-10000-442-20-12-11-210000−4i4i2i−2i0−i2i−ii−2ii00004i−4i−2i2i0i−2ii−i2i−i0000
χ594-4-220-2112-1-10000-442-202-1-1-21100004-4-220-2112-1-10000-442-202-1-1-2110000−4i4i2i−2i02i−i−i−2iii00004i−4i−2i2i0−2iii2i−i−i0000
χ6066-3-3-20000001000-6-6332000000-100066-3-3-20000001000-6-6332000000-1000−6i−6i3i3i2i000000−i0006i6i−3i−3i−2i000000i000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222-2-2-2222222222222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111000000000000000000000000000000
χ6344444-2-2-2-2-2-2400044444-2-2-2-2-2-24000-2-2-2-2-2111111-2000-2-2-2-2-2111111-2000000000000000000000000000000000
χ6444-2-244-2-24-2-2-200044-2-244-2-24-2-2-2000-2-211-2-211-2111000-2-211-2-211-2111000000000000000000000000000000000
χ6544-2-24-24-2-24-2-200044-2-24-24-2-24-2-2000-2-211-21-211-211000-2-211-21-211-211000000000000000000000000000000000
χ6644-2-24-2-24-2-24-200044-2-24-2-24-2-24-2000-2-211-211-211-21000-2-211-211-211-21000000000000000000000000000000000
χ674-44-40-2-2-2222022−2204-44-40-2-2-2222022−220-22-220111-1-1-10−220-22-220111-1-1-10−220000000000000000000000000000000
χ684-44-40-2-2-22220−222204-44-40-2-2-22220−22220-22-220111-1-1-102−20-22-220111-1-1-102−20000000000000000000000000000000
χ696666-2000000-222-26666-2000000-222-2-3-3-3-310000001-1-11-3-3-3-310000001-1-11000000000000000000000000000000
χ706666-2000000-2-2-226666-2000000-2-2-22-3-3-3-31000000111-1-3-3-3-31000000111-1000000000000000000000000000000
χ718-88-80222-2-2-200008-88-80222-2-2-20000-44-440-1-1-11110000-44-440-1-1-11110000000000000000000000000000000000
χ728-8-44022-4-2-2400008-8-44022-4-2-240000-442-20-1-1211-20000-442-20-1-1211-20000000000000000000000000000000000
χ738-8-4402-42-24-200008-8-4402-42-24-20000-442-20-12-11-210000-442-20-12-11-210000000000000000000000000000000000
χ748-8-440-4224-2-200008-8-440-4224-2-20000-442-202-1-1-2110000-442-202-1-1-2110000000000000000000000000000000000
χ751212-6-6-400000020001212-6-6-40000002000-6-6332000000-1000-6-6332000000-1000000000000000000000000000000000
χ76222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111000000000000000000000000000000
χ77222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1000000000000000000000000000000
χ7844444-2-2-2-2-2-24000-4-4-4-4-4222222-4000-2-2-2-2-2111111-200022222-1-1-1-1-1-12000000000000000000000000000000000
χ7944-2-244-2-24-2-2-2000-4-422-4-422-4222000-2-211-2-211-211100022-1-122-1-12-1-1-1000000000000000000000000000000000
χ8044-2-24-24-2-24-2-2000-4-422-42-422-422000-2-211-21-211-21100022-1-12-12-1-12-1-1000000000000000000000000000000000
χ8144-2-24-2-24-2-24-2000-4-422-422-422-42000-2-211-211-211-2100022-1-12-1-12-1-12-1000000000000000000000000000000000
χ824-44-40-2-2-2222022−220-44-440222-2-2-20−22220-22-220111-1-1-10−2202-22-20-1-1-111102−20000000000000000000000000000000
χ834-44-40-2-2-22220−22220-44-440222-2-2-2022−220-22-220111-1-1-102−202-22-20-1-1-11110−220000000000000000000000000000000
χ846666-2000000-222-2-6-6-6-620000002-2-22-3-3-3-310000001-1-113333-1000000-111-1000000000000000000000000000000
χ856666-2000000-2-2-22-6-6-6-62000000222-2-3-3-3-31000000111-13333-1000000-1-1-11000000000000000000000000000000
χ868-88-80222-2-2-20000-88-880-2-2-22220000-44-440-1-1-111100004-44-40111-1-1-10000000000000000000000000000000000
χ878-8-44022-4-2-240000-884-40-2-2422-40000-442-20-1-1211-200004-4-22011-2-1-120000000000000000000000000000000000
χ888-8-4402-42-24-20000-884-40-24-22-420000-442-20-12-11-2100004-4-2201-21-12-10000000000000000000000000000000000
χ898-8-440-4224-2-20000-884-404-2-2-4220000-442-202-1-1-21100004-4-220-2112-1-10000000000000000000000000000000000
χ901212-6-6-40000002000-12-12664000000-2000-6-6332000000-100066-3-3-20000001000000000000000000000000000000000

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