Finite Group Databasebeta

← Group #13180621

Character table — Group #13180621

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122246688889916161616181818242424243636363636363636363636545472727272108108108108108108
order1234612243612122236121246666121244444412121212122412121212444444
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111111-1-1-1-11-1-11-1-1
χ31111111111111111111111111-1-111-1-11-1-1-1-11111-1-1-111-1-1-1
χ41111111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111
χ5111111-1-11111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1
χ6111111-1-11111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-111
χ7111111-1-11111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-11-1-1111
χ8111111-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1
χ9111-11-11-111-1-11111-1-1-11111-1-11-11-11-1-111-1-11-11-11-1-11-111-1
χ10111-11-11-111-1-11111-1-1-11111-1-11-1-11-11-111-1-11-1-11-11-1-111-11
χ11111-11-11-111-1-11111-1-1-11111-1-1-111-1-11-1-1-1111-11-1-1111-1-1-11
χ12111-11-11-111-1-11111-1-1-11111-1-1-11-111-1-1-1-1111-1-111-11-11-11-1
χ13111-11-1-1111-1-11111-1-1-111-1-1111-11-11-1-111-1-1-111-11-11-11-1-11
χ14111-11-1-1111-1-11111-1-1-111-1-1111-1-11-11-111-1-1-11-11-1111-1-11-1
χ15111-11-1-1111-1-11111-1-1-111-1-111-111-1-11-1-1-111-111-1-11-1-1111-1
χ16111-11-1-1111-1-11111-1-1-111-1-111-11-111-1-1-1-111-11-111-1-11-11-11
χ17222222222222-2-22222-2-2-22222000000-20000-2-20000000000
χ18222222-2-22222-2-22222-2-2-2-2-2-2-2000000-20000220000000000
χ19222-22-22-222-2-2-2-222-2-22-2-222-2-200000020000-220000000000
χ20222-22-2-2222-2-2-2-222-2-22-2-2-2-222000000200002-20000000000
χ2122-12-1-100222222-1-1-1-12-1-10000222222-1-1-1-1-100-1-1-1-1000000
χ2222-12-1-100222222-1-1-1-12-1-1000022-2-2-2-2-1-1-1-1-1001111000000
χ2322-12-1-100222222-1-1-1-12-1-10000-2-222-2-2-1111100-1-111000000
χ2422-12-1-100222222-1-1-1-12-1-10000-2-2-2-222-111110011-1-1000000
χ2522-1-2-110022-2-222-1-111-2-1-100002-22-22-21-1-11100-11-11000000
χ2622-1-2-110022-2-222-1-111-2-1-100002-2-22-221-1-111001-11-1000000
χ2722-1-2-110022-2-222-1-111-2-1-10000-222-2-22111-1-100-111-1000000
χ2822-1-2-110022-2-222-1-111-2-1-10000-22-222-2111-1-1001-1-11000000
χ2944-24-2-2004444-4-4-2-2-2-2-422000000000020000000000000000
χ3044-2-4-220044-4-4-4-4-2-2224220000000000-20000000000000000
χ314-440-40004-4004-44-40004-4000000000000000000000000000
χ324-440-40004-400-444-4000-44000000000000000000000000000
χ334-4-2020004-4004-4-22000-2200000000000−2i32i300000000000000
χ344-4-2020004-4004-4-22000-22000000000002i3−2i300000000000000
χ354-4-2020004-400-44-220002-20000000000000−2i32i3000000000000
χ364-4-2020004-400-44-220002-200000000000002i3−2i3000000000000
χ3788888888-1-1-1-100-1-1-1-1000-1-1-1-100000000000000000000000
χ38888888-8-8-1-1-1-100-1-1-1-1000111100000000000000000000000
χ39888-88-88-8-1-11100-1-111000-1-11100000000000000000000000
χ40888-88-8-88-1-11100-1-11100011-1-100000000000000000000000
χ418-880-8000-113i−3i00-113i−3i0003-33i−3i00000000000000000000000
χ428-880-8000-113i−3i00-113i−3i000-33−3i3i00000000000000000000000
χ438-880-8000-11−3i3i00-11−3i3i0003-3−3i3i00000000000000000000000
χ448-880-8000-11−3i3i00-11−3i3i000-333i−3i00000000000000000000000
χ451616-816-8-800-2-2-2-2001111000000000000000000000000000000
χ461616-8-16-8800-2-2220011-1-1000000000000000000000000000000
χ4716-16-808000-226i−6i001-1−3i3i000000000000000000000000000000
χ4816-16-808000-22−6i6i001-13i−3i000000000000000000000000000000

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