Finite Group Databasebeta

← Group #13180616

Character table — Group #13180616

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122246688991616161616181818181836363636363636363636484854545454545472727272108108108108
order123461244362236121212444664444412121212121212444444121212124444
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111-1-11111-1-1-11-1-1-1-1111111-1-111-1-11-1-1-1
χ4111111111111111111-1-111-1-111-11-1-1-1-11111-1-111-1-111-11-1-1
χ5111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ7111111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1111
χ8111111-1-11111111111-1-111-1-111-11-1-1-1-1-1-1-1-111-1-1-1-1111-111
χ9111-11-11-1111111-1-1-1-111111-11-1-1-1-1-1111-11-111111-11-1-1-11-1
χ10111-11-11-1111111-1-1-1-11111-11-11-1-1-1-1111-11-1-1-1-1-1-11-11111-1
χ11111-11-11-1111111-1-1-1-1-1-1111-1-111-111-1-11-11-111-1-11-1-11-11-11
χ12111-11-11-1111111-1-1-1-1-1-111-111-11-111-1-11-11-1-1-111-111-11-1-11
χ13111-11-1-11111111-1-1-1-111111-11-1-1-1-1-111-11-11-1-1-1-11-11-111-11
χ14111-11-1-11111111-1-1-1-11111-11-11-1-1-1-111-11-111111-11-11-1-1-11
χ15111-11-1-11111111-1-1-1-1-1-1111-1-111-111-1-1-11-11-1-1111-1-111-11-1
χ16111-11-1-11111111-1-1-1-1-1-111-111-11-111-1-1-11-1111-1-1-111-1-111-1
χ172222222222-2-222222-200-2-200000-2000022-2-2000000000000
χ18222222-2-222-2-222222-200-2-200000-20000-2-222000000000000
χ19222-22-22-222-2-222-2-2-2200-2-200000200002-2-22000000000000
χ20222-22-2-2222-2-222-2-2-2200-2-20000020000-222-2000000000000
χ2122-12-1-1002222-1-12-1-1222-1-122222-1-1-1-1-100000000-1-1-1-10000
χ2222-12-1-1002222-1-12-1-1222-1-1-2-2-2-22-1-1-1-1-10000000011110000
χ2322-12-1-1002222-1-12-1-12-2-2-1-122-2-2-2-1111100000000-1-1110000
χ2422-12-1-1002222-1-12-1-12-2-2-1-1-2-222-2-111110000000011-1-10000
χ2522-1-2-11002222-1-1-211-222-1-12-22-2-2111-1-100000000-11-110000
χ2622-1-2-11002222-1-1-211-222-1-1-22-22-2111-1-1000000001-11-10000
χ2722-1-2-11002222-1-1-211-2-2-2-1-12-2-2221-1-11100000000-111-10000
χ2822-1-2-11002222-1-1-211-2-2-2-1-1-222-221-1-111000000001-1-110000
χ292-220-20002-22-22-200002-2-22000000002-200002i−2i2i−2i00000000
χ302-220-20002-22-22-200002-2-22000000002-20000−2i2i−2i2i00000000
χ312-220-20002-22-22-20000-22-2200000000-2200002i−2i−2i2i00000000
χ322-220-20002-22-22-20000-22-2200000000-220000−2i2i2i−2i00000000
χ3344-24-2-20044-4-4-2-24-2-2-4002200000200000000000000000000
χ3444-2-4-220044-4-4-2-2-4224002200000-200000000000000000000
χ354-440-40004-4-444-40000004-400000000000000000000000000
χ364-4-2020004-44-4-2200004-42-200000000-220000000000000000
χ374-4-2020004-44-4-220000-442-2000000002-20000000000000000
χ384-4-2020004-4-44-22000000-22000000−2i32i3000000000000000000
χ394-4-2020004-4-44-22000000-220000002i3−2i3000000000000000000
χ4088888888-1-100-1-1-1-1-1000000000000000-1-100000000000000
χ41888888-8-8-1-100-1-1-1-1-10000000000000001100000000000000
χ42888-88-88-8-1-100-1-1111000000000000000-1100000000000000
χ43888-88-8-88-1-100-1-11110000000000000001-100000000000000
χ441616-816-8-800-2-20011-2110000000000000000000000000000000
χ451616-8-16-8800-2-200112-1-10000000000000000000000000000000
χ4616-16160-16000-2200-220000000000000000000000000000000000
χ4716-16-808000-22001-1033−330000000000000000000000000000000
χ4816-16-808000-22001-10−33330000000000000000000000000000000

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