Finite Group Databasebeta

← Group #13180424

Character table — Group #13180424

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11228899161618181818363636363636363636365454545472721122889916161818181836363636363636363636545454547272
order1236362236446644441212121212128888121222666622664466444412121212121288881212
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111
χ311111111111111-1-111111111-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-11111-1-111111111111111-1-1-1-111-1-1-1-11111-1-1
χ51-11-11-1-111-11-1-11i−i1-11-111-1-1ii−i−ii−i1-11-11-1-111-11-1-11i−i1-11-111-1-1ii−i−ii−i
χ61-11-11-1-111-11-1-11i−i-111-1-1-111−i−iiii−i1-11-11-1-111-11-1-11i−i-111-1-1-111−i−iiii−i
χ71-11-11-1-111-11-1-11−ii1-11-111-1-1−i−iii−ii1-11-11-1-111-11-1-11−ii1-11-111-1-1−i−iii−ii
χ81-11-11-1-111-11-1-11−ii-111-1-1-111ii−i−i−ii1-11-11-1-111-11-1-11−ii-111-1-1-111ii−i−i−ii
χ92222222222-2-2220000-2-200000000002222222222-2-2220000-2-20000000000
χ10222222-2-22200-2-20000000000−i2i2−i2i200222222-2-22200-2-20000000000−i2i2−i2i200
χ11222222-2-22200-2-20000000000i2−i2i2−i200222222-2-22200-2-20000000000i2−i2i2−i200
χ1222-1-12222-1-122-1-10022-1-1-1-1-1-100000022-1-12222-1-122-1-10022-1-1-1-1-1-1000000
χ1322-1-12222-1-122-1-100-2-2-1-1111100000022-1-12222-1-122-1-100-2-2-1-11111000000
χ1422-1-12222-1-1-2-2-1-1000011−i3i3−i3i300000022-1-12222-1-1-2-2-1-1000011−i3i3−i3i3000000
χ1522-1-12222-1-1-2-2-1-1000011i3−i3i3−i300000022-1-12222-1-1-2-2-1-1000011i3−i3i3−i3000000
χ162-22-22-22-22-2002-200000000002−2−22002-22-22-22-22-2002-200000000002−2−2200
χ172-22-22-22-22-2002-20000000000−222−2002-22-22-22-22-2002-20000000000−222−200
χ182-22-22-2-222-2-22-220000-2200000000002-22-22-2-222-2-22-220000-220000000000
χ192-2-112-2-22-112-21-1002-2-11-1-1110000002-2-112-2-22-112-21-1002-2-11-1-111000000
χ202-2-112-2-22-112-21-100-22-1111-1-10000002-2-112-2-22-112-21-100-22-1111-1-1000000
χ212-2-112-2-22-11-221-100001-1−i3i3i3−i30000002-2-112-2-22-11-221-100001-1−i3i3i3−i3000000
χ222-2-112-2-22-11-221-100001-1i3−i3−i3i30000002-2-112-2-22-11-221-100001-1i3−i3−i3i3000000
χ2344-2-244-4-4-2-20022000000000000000044-2-244-4-4-2-200220000000000000000
χ244-4-224-44-4-2200-2200000000000000004-4-224-44-4-2200-220000000000000000
χ258888-1-100-1-1000022000000000000-1-18888-1-100-1-1000022000000000000-1-1
χ268888-1-100-1-10000-2-2000000000000118888-1-100-1-10000-2-200000000000011
χ278-88-8-1100-1100002i−2i000000000000−ii8-88-8-1100-1100002i−2i000000000000−ii
χ288-88-8-1100-110000−2i2i000000000000i−i8-88-8-1100-110000−2i2i000000000000i−i
χ291616-8-8-2-20011000000000000000000001616-8-8-2-2001100000000000000000000
χ3016-16-88-22001-10000000000000000000016-16-88-22001-100000000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ3311111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ3411111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ351-11-11-1-111-11-1-11i−i1-11-111-1-1ii−i−ii−i-11-11-111-1-11-111-1−ii-11-11-1-111−i−iii−ii
χ361-11-11-1-111-11-1-11i−i-111-1-1-111−i−iiii−i-11-11-111-1-11-111-1−ii1-1-1111-1-1ii−i−i−ii
χ371-11-11-1-111-11-1-11−ii1-11-111-1-1−i−iii−ii-11-11-111-1-11-111-1i−i-11-11-1-111ii−i−ii−i
χ381-11-11-1-111-11-1-11−ii-111-1-1-111ii−i−i−ii-11-11-111-1-11-111-1i−i1-1-1111-1-1−i−iiii−i
χ392222222222-2-2220000-2-20000000000-2-2-2-2-2-2-2-2-2-222-2-20000220000000000
χ40222222-2-22200-2-20000000000−i2i2−i2i200-2-2-2-2-2-222-2-200220000000000i2−i2i2−i200
χ41222222-2-22200-2-20000000000i2−i2i2−i200-2-2-2-2-2-222-2-200220000000000−i2i2−i2i200
χ4222-1-12222-1-122-1-10022-1-1-1-1-1-1000000-2-211-2-2-2-211-2-21100-2-2111111000000
χ4322-1-12222-1-122-1-100-2-2-1-11111000000-2-211-2-2-2-211-2-211002211-1-1-1-1000000
χ4422-1-12222-1-1-2-2-1-1000011−i3i3−i3i3000000-2-211-2-2-2-21122110000-1-1i3−i3i3−i3000000
χ4522-1-12222-1-1-2-2-1-1000011i3−i3i3−i3000000-2-211-2-2-2-21122110000-1-1−i3i3−i3i3000000
χ462-22-22-22-22-2002-200000000002−2−2200-22-22-22-22-2200-220000000000−222−200
χ472-22-22-22-22-2002-20000000000−222−200-22-22-22-22-2200-2200000000002−2−2200
χ482-22-22-2-222-2-22-220000-220000000000-22-22-222-2-222-22-200002-20000000000
χ492-2-112-2-22-112-21-1002-2-11-1-111000000-221-1-222-21-1-22-1100-221-111-1-1000000
χ502-2-112-2-22-112-21-100-22-1111-1-1000000-221-1-222-21-1-22-11002-21-1-1-111000000
χ512-2-112-2-22-11-221-100001-1−i3i3i3−i3000000-221-1-222-21-12-2-110000-11i3−i3−i3i3000000
χ522-2-112-2-22-11-221-100001-1i3−i3−i3i3000000-221-1-222-21-12-2-110000-11−i3i3i3−i3000000
χ5344-2-244-4-4-2-200220000000000000000-4-422-4-4442200-2-20000000000000000
χ544-4-224-44-4-2200-220000000000000000-442-2-44-442-2002-20000000000000000
χ558888-1-100-1-1000022000000000000-1-1-8-8-8-81100110000-2-200000000000011
χ568888-1-100-1-10000-2-200000000000011-8-8-8-8110011000022000000000000-1-1
χ578-88-8-1100-1100002i−2i000000000000−ii-88-881-1001-10000−2i2i000000000000i−i
χ588-88-8-1100-110000−2i2i000000000000i−i-88-881-1001-100002i−2i000000000000−ii
χ591616-8-8-2-2001100000000000000000000-16-16882200-1-100000000000000000000
χ6016-16-88-22001-100000000000000000000-16168-82-200-1100000000000000000000

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