Finite Group Databasebeta

← Group #13180514

Character table — Group #13180514

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222444444466888888812121212121216181824242424242424242424242424242427273636363636363636484854727272727272108108
order12346336612121224336612121222241212122466666666661212121212442444688126626121212242488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111111-11111-1-1-1-11-1-1-111-111-11-1-11111-1-111-1-1-1-1
χ3111111111111111111111-1-11111111-1-111-1-1111111111111-1-111-1-11-1-1111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-111111-1-1-11-1-11-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-1-1-11111
χ5111111111111-1-111111111111-1-1111111-111-11111-1111-1-1-1-1-1-1111111-1-1-1-1-111-1-1
χ6111111111111-1-1111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-111-1-1-1-111
χ7111111111111-1-11111111-1-111-1-1111-1-11-1-1-1-11111-1111-1-1-111-11-1-11-1-1-1-1-111-1-111
χ8111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111-111111-1-1-11-11111-1-1-11-11-1-1-1-1-111-1111-11111-1-1-1-1-111-11-11-11-111-1-1-111-11-11-1
χ10111-111111-1-1-11-11111-1-1-11-1-11-1-1-1-111-1-111-11-1-1-11-11111111-1-1-1-1111-1-11-11-1-11-11
χ11111-111111-1-1-11-11111-1-1-1-111-1-1-1-1-11-1111-111111-1-1-1-1-111-1-111-1-111-11-1-11-11-11-11
χ12111-111111-1-1-11-11111-1-1-1-11-11-1-1-1-11-11-11-111-1-1-11-1111111-11-1-11-11-11-11-1-111-11-1
χ13111-111111-1-1-1-111111-1-1-11-11-111-1-111-11-11-1-1111-11-1-1-1-1-11-11-1-11-111-111-1-111-1-11
χ14111-111111-1-1-1-111111-1-1-11-1-1111-1-111-1-1-11-1-1-1-1-111111-1-1-1-111-1-1111-11-11-11-111-1
χ15111-111111-1-1-1-111111-1-1-1-111-111-1-11-111-1-11-1111-11-1-1-1-1-111-1-1-1-111-1111-11-1-111-1
χ16111-111111-1-1-1-111111-1-1-1-11-1111-1-11-11-1-1-11-1-1-1-111111-1-1-11-11-11-11-111-111-11-1-11
χ172222222222222222222220000222-2-2000200200002000-2-20000-200-200-200000000
χ18222222222222-2-222222220000-2-22-2-2000-200-20000-2000220000-200-200200000000
χ19222-222222-2-2-22-22222-2-2-20000-2-2-22-200020020000-2000-2-20000200-200200000000
χ20222-222222-2-2-2-222222-2-2-2000022-22-2000-200-200002000220000200-200-200000000
χ2122-12-12222-12200-1-1-1-12-1-1222200-122-1-1-102202-1-1-102-1-1000000-122-1-1-100000-1-100
χ2222-12-12222-12200-1-1-1-12-1-122-2-200-122-1-110220-21110-211000000-1-2-2-1-1-1000001100
χ2322-12-12222-12200-1-1-1-12-1-1-2-22200-12211-10-2-202-1-1-102-1-1000000-1-2-2-111000001100
χ2422-12-12222-12200-1-1-1-12-1-1-2-2-2-200-1221110-2-20-21110-211000000-122-11100000-1-100
χ2522-1-2-122221-2-200-1-1-1-1-2112-22-2001-22-11-102-202-1-110-21100000012-2-1-1100000-1100
χ2622-1-2-122221-2-200-1-1-1-1-2112-2-22001-22-11102-20-211-102-1-10000001-22-1-11000001-100
χ2722-1-2-122221-2-200-1-1-1-1-211-222-2001-221-1-10-2202-1-110-2110000001-22-11-1000001-100
χ2822-1-2-122221-2-200-1-1-1-1-211-22-22001-221-110-220-211-102-1-100000012-2-11-100000-1100
χ29444441-2-214-2-244-211-21-2-22200111002201-1-1-20000-20000002200000-1-1000-1-10000
χ30444441-2-214-2-244-211-21-2-2-2-20011100-2-20111-20000-2000000-2-20000011000110000
χ31444441-2-214-2-2-4-4-211-21-2-22200-1-1100220-1-1-1200002000000-2-200000-1-1000110000
χ32444441-2-214-2-2-4-4-211-21-2-2-2-200-1-1100-2-20-111200002000000220000011000-1-10000
χ3344444-211-2411441-2-21-2110022-2-2-200002-2001-1-1-121-1-1-10020020000000-1-1000000
χ3444444-211-2411441-2-21-21100-2-2-2-2-20000-2-2001111-2111100-200-2000000011000000
χ3544444-211-2411-4-41-2-21-211002222-200002200-1-1-1-12-1-1-1-100-200-2000000011000000
χ3644444-211-2411-4-41-2-21-21100-2-222-20000-2200-1111-2-11110020020000000-1-1000000
χ37444-441-2-21-4224-4-211-2-1222-200-1-1-1002-201-11-2000020000002-200000-11000-110000
χ38444-441-2-21-4224-4-211-2-122-2200-1-1-100-22011-1-200002000000-22000001-10001-10000
χ39444-441-2-21-422-44-211-2-1222-20011-1002-20-1-1120000-2000000-2200000-110001-10000
χ40444-441-2-21-422-44-211-2-122-220011-100-220-11-120000-20000002-2000001-1000-110000
χ41444-44-211-2-4-1-14-41-2-212-1-1002-222200002-2001-1-1-1-2-111100-200200000001-1000000
χ42444-44-211-2-4-1-14-41-2-212-1-100-222220000-2-20011112-1-1-1-100200-20000000-11000000
χ43444-44-211-2-4-1-1-441-2-212-1-1002-2-2-2200002200-1-1-1-1-2111100200-20000000-11000000
χ44444-44-211-2-4-1-1-441-2-212-1-100-22-2-220000-2200-111121-1-1-100-200200000001-1000000
χ4544-24-24444-24400-2-2-2-24-2-2000000-2-4-4000000000000000000000200200000000000
χ4644-2-4-244442-4-400-2-2-2-2-42200000024-4000000000000000000000-200200000000000
χ474-440-444-4-40000044-4-40000000000000000000000000004i−4i0000000000000000000
χ484-440-444-4-40000044-4-4000000000000000000000000000−4i4i0000000000000000000
χ4988-48-42-4-42-4-4-4002-1-12222440000-100-2-200-2-2000000000000000000011000000000
χ5088-48-42-4-42-4-4-4002-1-12222-4-40000-1002200220000000000000000000-1-1000000000
χ5188-48-4-422-4-42200-122-1-4-1-100440020000-20000-211-20-211000000000000000000000
χ5288-48-4-422-4-42200-122-1-4-1-100-4-40020000200002-1-1202-1-1000000000000000000000
χ5388-4-8-42-4-42444002-1-12-2-2-24-40000100-2200-2200000000000000000001-1000000000
χ5488-4-8-42-4-42444002-1-12-2-2-2-4400001002-2002-20000000000000000000-11000000000
χ5588-4-8-4-422-44-2-200-122-1411004-400-20000-20000-211202-1-1000000000000000000000
χ5688-4-8-4-422-44-2-200-122-141100-4400-20000200002-1-1-20-211000000000000000000000
χ578-880-82-44-200000-42-2400000006i−6i000000000000000000000000000000000000000
χ588-880-82-44-200000-42-240000000−6i6i000000000000000000000000000000000000000
χ598-880-8-42-2406i−6i002-44-206i−6i000000000000000000000000000000000000000000000
χ608-880-8-42-240−6i6i002-44-20−6i6i000000000000000000000000000000000000000000000
χ618-8-40488-8-800000-4-444000000000000000000000000000000000000000000000000
χ628-8-404-42-2406i−6i00-12-210−3i3i000000000000000003-30003i−3i000000000000000000000
χ638-8-404-42-2406i−6i00-12-210−3i3i00000000000000000-33000−3i3i000000000000000000000
χ648-8-404-42-240−6i6i00-12-2103i−3i000000000000000003-3000−3i3i000000000000000000000
χ658-8-404-42-240−6i6i00-12-2103i−3i00000000000000000-330003i−3i000000000000000000000
χ6616-16-8084-88-4000004-22-4000000000000000000000000000000000000000000000000

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