Finite Group Databasebeta

← Group #13180634

Character table — Group #13180634

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122246688991616161616181818181836363636363636363636484854545454545472727272108108108108
order122366243622366662446644444612121212612244444121212124444
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111-1-111-11-11-11-1-1-1-1111111-1-11-11-1-1-11-1
χ4111111111111111111-1-111-1-11-111-1-1-1-11111-1-111-11-11-1-1-11
χ5111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111-1-1111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111
χ7111111-1-11111111111-1-111-11-11-11-1-1-1-1-1-1-1-1-1-1111-11-111-11
χ8111111-1-11111111111-1-111-1-11-111-1-1-1-1-1-1-1-111-1-1-11-11111-1
χ911-111-11-111111-11-1-1-11111-111-1-1-111-1-11-11-1-1-1-1-1-1-1111-111
χ1011-111-11-111111-11-1-1-11111-1-1-111-111-1-11-11-1111111-1-11-1-1-1
χ1111-111-11-111111-11-1-1-1-1-11111-1-11-1-1-1111-11-1-1-111-111-1-111-1
χ1211-111-11-111111-11-1-1-1-1-1111-111-1-1-1-1111-11-111-1-11-1-11-11-11
χ1311-111-1-1111111-11-1-1-11111-111-1-1-111-1-1-11-111111-1-111-11-1-1
χ1411-111-1-1111111-11-1-1-11111-1-1-111-111-1-1-11-11-1-1-1-111-1-1-1111
χ1511-111-1-1111111-11-1-1-1-1-11111-1-11-1-1-111-11-1111-1-1-111-11-1-11
χ1611-111-1-1111111-11-1-1-1-1-1111-111-1-1-1-111-11-11-1-1111-1-111-11-1
χ172222222222-2-222222-200-2-200000-2000022-2-2000000000000
χ18222222-2-222-2-222222-200-2-200000-20000-2-222000000000000
χ19222-1-1-1002222-12-1-1-1222-1-122222-1-1-1-1-100000000-1-1-1-10000
χ20222-1-1-1002222-12-1-1-1222-1-12-2-2-2-2-1-1-1-1-10000000011110000
χ21222-1-1-1002222-12-1-1-12-2-2-1-1-22-22-2-1111100000000-11-110000
χ22222-1-1-1002222-12-1-1-12-2-2-1-1-2-22-22-11111000000001-11-10000
χ2322-222-22-222-2-22-22-2-2200-2-200000200002-2-22000000000000
χ2422-222-2-2222-2-22-22-2-2200-2-20000020000-222-2000000000000
χ2522-2-1-11002222-1-2-111-222-1-1-222-2-21-1-1110000000011-1-10000
χ2622-2-1-11002222-1-2-111-222-1-1-2-2-2221-1-11100000000-1-1110000
χ2722-2-1-11002222-1-2-111-2-2-2-1-122-2-22111-1-1000000001-1-110000
χ2822-2-1-11002222-1-2-111-2-2-2-1-12-222-2111-1-100000000-111-10000
χ292-202-20002-22-220-20002-2-220000002-20000002i−2i2i−2i00000000
χ302-202-20002-22-220-20002-2-220000002-2000000−2i2i−2i2i00000000
χ312-202-20002-22-220-2000-22-22000000-220000002i−2i−2i2i00000000
χ322-202-20002-22-220-2000-22-22000000-22000000−2i2i2i−2i00000000
χ33444-2-2-20044-4-4-24-2-2-2-4002200000200000000000000000000
χ3444-4-2-220044-4-4-2-4-2224002200000-200000000000000000000
χ354-404-40004-4-4440-4000004-400000000000000000000000000
χ364-40-220004-44-4-2020004-42-2000000-22000000000000000000
χ374-40-220004-44-4-202000-442-20000002-2000000000000000000
χ384-40-220004-4-44-20200000-220000000023−230000000000000000
χ394-40-220004-4-44-20200000-2200000000−23230000000000000000
χ4088888888-1-100-1-1-1-1-1000000000000000-1-100000000000000
χ41888888-8-8-1-100-1-1-1-1-10000000000000001100000000000000
χ4288-888-88-8-1-100-11-111000000000000000-1100000000000000
χ4388-888-8-88-1-100-11-1110000000000000001-100000000000000
χ44161616-8-8-800-2-2001-21110000000000000000000000000000000
χ451616-16-8-8800-2-200121-1-10000000000000000000000000000000
χ4616-16016-16000-2200-202000000000000000000000000000000000
χ4716-160-88000-220010-1−3i33i30000000000000000000000000000000
χ4816-160-88000-220010-13i3−3i30000000000000000000000000000000

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