Finite Group Databasebeta

← Group #13180511

Character table — Group #13180511

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222444446688888888121212121212161818242424242424242424242424242424363636363636363636364848545454547272727272108
order12346336612223366121212122224121212246666666666661212122444666881266448812121224248
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-111111-111-11111-1-1-1-1-111-1-1111-1-111111-1-11-1-1-1-1-1
χ311111111111111111111-1-11111111-1-1111111-1-111111-1-1111-1-1-1-11-1-111-1-1-111-1-1-1
χ411111111111111111111-1-1-1-1-1-1111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1111
χ51111111111-1-111111111111111111111-1-11-1-11111111-1-1-1-11-1-111111-1-1-1-1-1-1-111-1
χ61111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1111-1-111-111-1-11
χ71111111111-1-111111111-1-11111111-1-11-1-11-1-1-1-11111111-1-1111-1-11-1-1-1-1111-1-1-1-11
χ81111111111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ9111-111111-11-11111-1-1-1-11-11-1-1-1-1-111-111-111-11-111-1-1-11-11-1-1111-111-11-1-1-1-11-11-11
χ10111-111111-11-11111-1-1-1-11-1-1111-1-111-1-11-1-11-11-1-1-11111-1-11-111-1111-11-111-1-11-11-1
χ11111-111111-11-11111-1-1-1-1-111-1-1-1-1-11-1111-111-1-1111-1-1-1-111-1-1-1-1-111-111-11111-1-11-1
χ12111-111111-11-11111-1-1-1-1-11-1111-1-11-11-11-1-11-1-11-1-1111-11-11-1-1-11-11-111-1-1-11-111-11
χ13111-111111-1-111111-1-1-1-11-11-1-1-1-1-111-11-111-111-111-1-1-1-11-11-1-1-11-111-1-11111-111-1-1
χ14111-111111-1-111111-1-1-1-11-1-1111-1-111-1-1-11-1-111-1-1-1111-111-1-1-1-1-1111-1-11-1-111-1-111
χ15111-111111-1-111111-1-1-1-1-111-1-1-1-1-11-111-111-11-1111-1-1-11-1-11-111-111-11-11-1-1-1-11-111
χ16111-111111-1-111111-1-1-1-1-11-1111-1-11-11-1-11-1-11-11-1-11111-11-1-1111-11-11-1111-11-11-1-1
χ17222222222222222222220000002-2-20002202200000000000-20000-200-2-200000000
χ182222222222-2-2222222220000002-2-2000-2-20-2-200000000000-20000-2002200000000
χ19222-222222-22-22222-2-2-2-2000000-22-20002-202-20000000000020000-200-2200000000
χ20222-222222-2-222222-2-2-2-2000000-22-2000-220-220000000000020000-2002-200000000
χ2122-12-12222-100-1-1-1-122-1-1222222-122-1-1-10020022-1-1-1-1-10000-10022-1-1-10000000-1-10
χ2222-12-12222-100-1-1-1-122-1-122-2-2-2-2-122-1-1100-20022111110000-100-2-2-1-1-10000000110
χ2322-12-12222-100-1-1-1-122-1-1-2-22222-12211-100200-2-2-1-1-1-1-10000-100-2-2-1110000000110
χ2422-12-12222-100-1-1-1-122-1-1-2-2-2-2-2-2-12211100-200-2-2111110000-10022-1110000000-1-10
χ2522-1-2-12222100-1-1-1-1-2-2112-22-2-2-21-22-11-1002002-2-1-111100001002-2-1-110000000-110
χ2622-1-2-12222100-1-1-1-1-2-2112-2-22221-22-11100-2002-211-1-1-10000100-22-1-1100000001-10
χ2722-1-2-12222100-1-1-1-1-2-211-222-2-2-21-221-1-100200-22-1-11110000100-22-11-100000001-10
χ2822-1-2-12222100-1-1-1-1-2-211-22-22221-221-1100-200-2211-1-1-100001002-2-11-10000000-110
χ29444441-2-214441-2-21-21110022-1-1-20000211-1-2-200-1-12-1-100220000000000000-1-1000
χ30444441-2-214441-2-21-211100-2-211-20000-2111-2-20011-21100-2-2000000000000011000
χ31444441-2-214-4-41-2-21-21110022-1-1-200002-1-1-12200-1-12-1-100-2-2000000000000011000
χ32444441-2-214-4-41-2-21-211100-2-211-20000-2-1-11220011-21100220000000000000-1-1000
χ3344444-211-2444-211-21-2-2-2220000100220-2-2011-1-10000022000-1-1000-1-10000-100000
χ3444444-211-2444-211-21-2-2-2-2-20000100-2-20-2-20111100000-2-200011000110000100000
χ3544444-211-24-4-4-211-21-2-2-2220000100220220-1-1-1-100000-2-200011000-1-10000100000
χ3644444-211-24-4-4-211-21-2-2-2-2-20000100-2-20220-1-1110000022000-1-1000110000-100000
χ37444-441-2-21-44-41-2-212-1-1-1002-2112000021-1-1-2200-1-1-211002-20000000000000-11000
χ38444-441-2-21-44-41-2-212-1-1-100-22-1-120000-21-11-2200112-1-100-2200000000000001-1000
χ39444-441-2-21-4-441-2-212-1-1-1002-211200002-11-12-200-1-1-21100-2200000000000001-1000
χ40444-441-2-21-4-441-2-212-1-1-100-22-1-120000-2-1112-200112-1-1002-20000000000000-11000
χ41444-44-211-2-44-4-211-2-12222-20000-1002-20-2201-1-11000002-2000-1-1000-110000100000
χ42444-44-211-2-44-4-211-2-1222-220000-100-220-2201-11-100000-22000110001-10000-100000
χ43444-44-211-2-4-44-211-2-12222-20000-1002-202-20-11-1100000-2200011000-110000-100000
χ44444-44-211-2-4-44-211-2-1222-220000-100-2202-20-111-1000002-2000-1-10001-10000100000
χ4544-24-24444-200-2-2-2-244-2-2000000-2-4-40000000000000000000200002000000000000
χ4644-2-4-24444200-2-2-2-2-4-42200000024-40000000000000000000-200002000000000000
χ474-440-444-4-400044-4-4000000000000000000000000000000000000000000−2i22i2000000
χ484-440-444-4-400044-4-40000000000000000000000000000000000000000002i2−2i2000000
χ4988-48-42-4-42-400-122-1-42-1-10044-2-220000-200-2000011-2110000000000000000000000
χ5088-48-42-4-42-400-122-1-42-1-100-4-4222000020020000-1-12-1-10000000000000000000000
χ5188-48-4-422-4-4002-1-122-422440000-100-2-2000000-2-2000000000000000110000000000
χ5288-48-4-422-4-4002-1-122-422-4-40000-1002200000022000000000000000-1-10000000000
χ5388-4-8-42-4-42400-122-14-211004-422-20000-200-20000112-1-10000000000000000000000
χ5488-4-8-42-4-42400-122-14-21100-44-2-2-2000020020000-1-1-2110000000000000000000000
χ5588-4-8-4-422-44002-1-12-24-2-24-40000100-22000000-220000000000000001-10000000000
χ5688-4-8-4-422-44002-1-12-24-2-2-4400001002-20000002-2000000000000000-110000000000
χ578-880-82-44-20002-44-20000000023−23000000000000000023−230000000000000000000000
χ588-880-82-44-20002-44-200000000−23230000000000000000−23230000000000000000000000
χ598-880-8-42-24000-42-24000000000000000000000000000000000−2i32i3000000000000000
χ608-880-8-42-24000-42-240000000000000000000000000000000002i3−2i3000000000000000
χ618-8-4042-44-2000-12-210033−33000023−2300000000000003-30−330000000000000000000000
χ628-8-4042-44-2000-12-210033−330000−23230000000000000-3303−30000000000000000000000
χ638-8-4042-44-2000-12-2100−3333000023−230000000000000-330−330000000000000000000000
χ648-8-4042-44-2000-12-2100−33330000−232300000000000003-303−30000000000000000000000
χ658-8-40488-8-8000-4-44400000000000000000000000000000000000000000000000000
χ6616-16-808-84-480004-22-400000000000000000000000000000000000000000000000000

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