Finite Group Databasebeta

← Group #13180641

Character table — Group #13180641

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122688991616181818182424363636363636363654545410810811226889916161818181824243636363636363636545454108108
order1236436223644661212441212121212124444422664662266446612124412121212121244444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111-1-1111-1-111111111111111111-1-1-1-111-1-1111-1-1
χ311111111111-1-111111-1-1-1-1-1111-1-11-111111111111-1-111111-1-1-1-1-1111-1-11-1
χ411111111111-1-11111-1111-1-1-1-11-1-1-1111111111111-1-11111-1111-1-1-1-11-1-1-11
χ51111-11111111111-1-111111111-1-1-1-1-11111-11111111111-1-111111111-1-1-1-1-1
χ61111-11111111111-1-1-1-1-1-111-1-1-1-1-1111111-11111111111-1-1-1-1-1-111-1-1-1-1-111
χ71111-1111111-1-111-1-11-1-1-1-1-111-111-111111-1111111-1-111-1-11-1-1-1-1-111-111-11
χ81111-1111111-1-111-1-1-1111-1-1-1-1-1111-11111-1111111-1-111-1-1-1111-1-1-1-1-1111-1
χ92222222-2-22200-2-22200000000-200002222222-2-22200-2-22200000000-20000
χ102222-222-2-22200-2-2-2-200000000200002222-222-2-22200-2-2-2-20000000020000
χ1122-1-102222-1-122-1-10022-1-1-1-1-1-10000022-1-102222-1-122-1-10022-1-1-1-1-1-100000
χ1222-1-102222-1-122-1-100-2-211-1-1110000022-1-102222-1-122-1-100-2-211-1-11100000
χ1322-1-102222-1-1-2-2-1-1002-21111-1-10000022-1-102222-1-1-2-2-1-1002-21111-1-100000
χ1422-1-102222-1-1-2-2-1-100-22-1-111110000022-1-102222-1-1-2-2-1-100-22-1-1111100000
χ152-22-202-22-22-200-22000000000002i−2i002-22-202-22-22-200-22000000000002i−2i00
χ162-22-202-22-22-200-2200000000000−2i2i002-22-202-22-22-200-2200000000000−2i2i00
χ172-22-202-2-222-22i−2i2-20000002i−2i00000002-22-202-2-222-22i−2i2-20000002i−2i0000000
χ182-22-202-2-222-2−2i2i2-2000000−2i2i00000002-22-202-2-222-2−2i2i2-2000000−2i2i0000000
χ192-2-1102-2-22-112i−2i-110000−i3i3−ii3−3000002-2-1102-2-22-112i−2i-110000−i3i3−ii3−300000
χ202-2-1102-2-22-112i−2i-110000i3−i3−ii−33000002-2-1102-2-22-112i−2i-110000i3−i3−ii−3300000
χ212-2-1102-2-22-11−2i2i-110000−i3i3i−i−33000002-2-1102-2-22-11−2i2i-110000−i3i3i−i−3300000
χ222-2-1102-2-22-11−2i2i-110000i3−i3i−i3−3000002-2-1102-2-22-11−2i2i-110000i3−i3i−i3−300000
χ2344-2-2044-4-4-2-2002200000000000000044-2-2044-4-4-2-20022000000000000000
χ244-4-2204-44-4-22002-20000000000000004-4-2204-44-4-22002-2000000000000000
χ2588888-1-100-1-10000-1-1000000000000088888-1-100-1-10000-1-10000000000000
χ268888-8-1-100-1-100001100000000000008888-8-1-100-1-10000110000000000000
χ278-88-80-1100-1100003i−3i00000000000008-88-80-1100-1100003i−3i0000000000000
χ288-88-80-1100-110000−3i3i00000000000008-88-80-1100-110000−3i3i0000000000000
χ291616-8-80-2-2001100000000000000000001616-8-80-2-200110000000000000000000
χ3016-16-880-22001-1000000000000000000016-16-880-22001-10000000000000000000
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
χ3211111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111
χ3311111111111-1-111111-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-111-11
χ3411111111111-1-11111-1111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1111-1
χ351111-11111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ361111-11111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1
χ371111-1111111-1-111-1-11-1-1-1-1-111-111-11-1-1-1-11-1-1-1-1-1-111-1-111-111111-1-11-1-11-1
χ381111-1111111-1-111-1-1-1111-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-111-1-1111-1-1-111111-1-1-11
χ392222222-2-22200-2-22200000000-20000-2-2-2-2-2-2-222-2-20022-2-20000000020000
χ402222-222-2-22200-2-2-2-20000000020000-2-2-2-22-2-222-2-200222200000000-20000
χ4122-1-102222-1-122-1-10022-1-1-1-1-1-100000-2-2110-2-2-2-211-2-21100-2-211111100000
χ4222-1-102222-1-122-1-100-2-211-1-11100000-2-2110-2-2-2-211-2-2110022-1-111-1-100000
χ4322-1-102222-1-1-2-2-1-1002-21111-1-100000-2-2110-2-2-2-211221100-22-1-1-1-11100000
χ4422-1-102222-1-1-2-2-1-100-22-1-1111100000-2-2110-2-2-2-2112211002-211-1-1-1-100000
χ452-22-202-22-22-200-22000000000002i−2i00-22-220-22-22-22002-200000000000−2i2i00
χ462-22-202-22-22-200-2200000000000−2i2i00-22-220-22-22-22002-2000000000002i−2i00
χ472-22-202-2-222-22i−2i2-20000002i−2i0000000-22-220-222-2-22−2i2i-22000000−2i2i0000000
χ482-22-202-2-222-2−2i2i2-2000000−2i2i0000000-22-220-222-2-222i−2i-220000002i−2i0000000
χ492-2-1102-2-22-112i−2i-110000−i3i3−ii3−300000-221-10-222-21-1−2i2i1-10000i3−i3i−i−3300000
χ502-2-1102-2-22-112i−2i-110000i3−i3−ii−3300000-221-10-222-21-1−2i2i1-10000−i3i3i−i3−300000
χ512-2-1102-2-22-11−2i2i-110000−i3i3i−i−3300000-221-10-222-21-12i−2i1-10000i3−i3−ii3−300000
χ522-2-1102-2-22-11−2i2i-110000i3−i3i−i3−300000-221-10-222-21-12i−2i1-10000−i3i3−ii−3300000
χ5344-2-2044-4-4-2-20022000000000000000-4-4220-4-4442200-2-2000000000000000
χ544-4-2204-44-4-22002-2000000000000000-442-20-44-442-200-22000000000000000
χ5588888-1-100-1-10000-1-10000000000000-8-8-8-8-81100110000110000000000000
χ568888-8-1-100-1-10000110000000000000-8-8-8-881100110000-1-10000000000000
χ578-88-80-1100-1100003i−3i0000000000000-88-8801-1001-10000−3i3i0000000000000
χ588-88-80-1100-110000−3i3i0000000000000-88-8801-1001-100003i−3i0000000000000
χ591616-8-80-2-200110000000000000000000-16-168802200-1-10000000000000000000
χ6016-16-880-22001-10000000000000000000-16168-802-200-110000000000000000000

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