Finite Group Databasebeta

← Group #13180537

Character table — Group #13180537

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122244444666688888888991212121212121212121618181818182424242424242424242424242436363636363636364848545454547272727272108
order12236336662224336666662222466666662446666666666612121212244446121261224446121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111111-1-111-11-1111111-111-111-1-1-11-1-1-1-111-1-111-1-1-1-1
χ3111111111111-1-1111111111111111111111-1-1111-111-111111-1-11-1-1-1111-1-111-1-1-1-1-1-1-111-1
χ4111111111111-1-111111111111-1-1111111111111-1-1-11-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-11-1-11
χ51111111111-1-1111111111111-111-1-1-1-1-1-1111111111-11-1-1-1-11111-1-11-1-11111111-1-1-1-11-1-1-1
χ61111111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-111-11-1-11-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1111
χ71111111111-1-1-1-11111111111-111-1-1-1-1-1-111-1-1111-11-1-1-1-1-1-11-1-1111-1-1-11-1-111-1-11111-1-1-11
χ81111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1
χ911-11111-111111-111-1-11-1-1111-11-111-1-111-1-1-1-111111-1111-1-1-1-1-1-11-111-1-1-1-11-11-1-1-11-111-11
χ1011-11111-111111-111-1-11-1-1111-1-1111-1-111-1-11111-11-1-1111-1-11-1-111-1-1-11-111-111-1111-1-1-11-1
χ1111-11111-11111-1111-1-11-1-1111-11-111-1-111-1-111111-11-1-111-1-1-111-1-11-11-1-1111-1-1111-11-11-1-1
χ1211-11111-11111-1111-1-11-1-1111-1-1111-1-111-1-1-1-111-1-1-1-1-111-1-11111-111-11-1-1-1-11-11-1-1-111-111
χ1311-11111-111-1-11-111-1-11-1-111111-1-1-111-1-1-1-1-1-11111111-1-111-1-1-1-1-111-11-1-1-11-11-111-111-11-1
χ1411-11111-111-1-11-111-1-11-1-11111-11-1-111-1-1-1-11111-11-111-1-1111-1-11-11-11-1-111-111-1-1-1-11-11-11
χ1511-11111-111-1-1-1111-1-11-1-111111-1-1-111-1-1-1-111111-111-1-1-111-111-11-1-1-11-1111-1-11-1-11-1-1-111
χ1611-11111-111-1-1-1111-1-11-1-11111-11-1-111-1-1-1-1-1-111-1-1-11-1-1-11111111-111-1-1-1-1-11-11111-111-1-1
χ172222222222002222222222-2-20000000002-200-2-2020020000022000000-20000-2-200000000
χ18222222222200-2-222222222-2-20000000002-200-2-20-200-200000-2-2000000-200002200000000
χ19222-1-122-1222200-1-122-1-1-1-122222-1-1-1-122-1200-1-1-10220-1-1-1-1-100200022-100-1-10000000-1-10
χ20222-1-122-1222200-1-122-1-1-1-1222-2-2-1-1-1-122-1200-1-110-220-1-1-1-1100-2000-2-2-100110000000110
χ21222-1-122-122-2-200-1-122-1-1-1-122-2221111-2-2-1200-1-1-102-201111-1002000-2-2-100-1-10000000110
χ22222-1-122-122-2-200-1-122-1-1-1-122-2-2-21111-2-2-1200-1-110-2-201111100-200022-100110000000-1-10
χ2322-22222-222002-222-2-22-2-22-2-2000000000-2200-2-20200200000-2-200000020000-2200000000
χ2422-22222-22200-2222-2-22-2-22-2-2000000000-2200-2-20-200-20000022000000200002-200000000
χ2522-2-1-1221222200-1-1-2-2-111-122-22-2-1-111221-200-1-1-102-20-1-111100-20002-2100-110000000-110
χ2622-2-1-1221222200-1-1-2-2-111-122-2-22-1-111221-200-1-110-2-20-1-111-1002000-221001-100000001-10
χ2722-2-1-122122-2-200-1-1-2-2-111-12222-211-1-1-2-21-200-1-1-1022011-1-1100-2000-22100-1100000001-10
χ2822-2-1-122122-2-200-1-1-2-2-111-1222-2211-1-1-2-21-200-1-110-22011-1-1-10020002-21001-10000000-110
χ292-202-2220-2-22-2002200-200-22-20002-2002-2002i−2i2-2000002-20000000000002i−2i00002i−2i000000
χ302-202-2220-2-22-2002200-200-22-20002-2002-200−2i2i2-2000002-2000000000000−2i2i0000−2i2i000000
χ312-202-2220-2-2-22002200-200-22-2000-2200-22002i−2i2-200000-220000000000002i−2i0000−2i2i000000
χ322-202-2220-2-2-22002200-200-22-2000-2200-2200−2i2i2-200000-22000000000000−2i2i00002i−2i000000
χ33444441-24-2100441-21-2-2-2-210002200000010220021-10-200002-21-1002000-1-1-1-1000000-1000
χ34444441-24-2100441-21-2-2-2-21000-2-200000010-2-200-2110-20000-2-21100-200011110000001000
χ35444441-24-2100-4-41-21-2-2-2-210002200000010-2-2002-1-102000022-1-100-200011-1-10000001000
χ36444441-24-2100-4-41-21-2-2-2-21000-2-2000000102200-2-11020000-22-11002000-1-111000000-1000
χ3744444-2141-22244-21-21111-2002002222-1-1-2000000-20-11-1-1-1-101-2022000000000000-1-10000
χ3844444-2141-222-4-4-21-21111-2002002222-1-1-200000020-1-1-1-1-1-10-120-2-2000000000000110000
χ3944444-2141-2-2-244-21-21111-200-200-2-2-2-211-2000000-2011111101-20-2-2000000000000110000
χ4044444-2141-2-2-2-4-4-21-21111-200-200-2-2-2-211-2000000201-111110-12022000000000000-1-10000
χ41444-2-244-2440000-2-244-2-2-2-2-4-4000000000-2-40022000000000000000000200000000000000
χ4244-4441-2-4-21004-41-2-12-22210002-2000000-10-2-20021-10-20000-22-1100200011-11000000-1000
χ4344-4441-2-4-21004-41-2-12-2221000-22000000-102200-2110-2000022-1-100-2000-1-11-10000001000
χ4444-4441-2-4-2100-441-2-12-22210002-2000000-1022002-1-1020000-2-21100-2000-1-1-110000001000
χ4544-4441-2-4-2100-441-2-12-2221000-22000000-10-2-200-2-110200002-21-1002000111-1000000-1000
χ4644-444-21-41-2224-4-212-11-1-1-200-20022-2-2-1-12000000-2011-1-1110-1202-2000000000000-110000
χ4744-444-21-41-222-44-212-11-1-1-200-20022-2-2-1-12000000201-1-1-11101-20-220000000000001-10000
χ4844-444-21-41-2-2-24-4-212-11-1-1-200200-2-222112000000-20-1111-1-10-120-220000000000001-10000
χ4944-444-21-41-2-2-2-44-212-11-1-1-200200-2-22211200000020-1-111-1-101-202-2000000000000-110000
χ5044-4-2-2442440000-2-2-4-4-222-2-4-4000000000240022000000000000000000-200000000000000
χ514-404-4440-4-400004400-400-4-440000000000000-44000000000000000000000000000000000
χ524-40-22440-4-40000-2-2002002-4400000−2i32i30000002-20000000−2i32i3000000000000000000000000
χ534-40-22440-4-40000-2-2002002-44000002i3−2i30000002-200000002i3−2i3000000000000000000000000
χ544-40-22440-4-44-400-2-20020024-4000-22004-40000-2200000-2200000000000000000000000000
χ554-40-22440-4-4-4400-2-20020024-40002-200-440000-22000002-200000000000000000000000000
χ56888-4-42-4-4-420000-122-4222-100044000000-100000-20-2000000-200-200000000110000000000
χ57888-4-42-4-4-420000-122-4222-1000-4-4000000-100000202000000200200000000-1-10000000000
χ58888-4-4-42-42-444002-1-42-1-1-1200400-2-2-2-2-2-2200000000-201111000000000000000000000000
χ59888-4-4-42-42-4-4-4002-1-42-1-1-1200-40022222220000000020-1-1-1-1000000000000000000000000
χ6088-8-4-42-44-420000-12-242-2-2-10004-4000000100000-20-20000002002000000001-10000000000
χ6188-8-4-42-44-420000-12-242-2-2-1000-44000000100000202000000-200-200000000-110000000000
χ6288-8-4-4-4242-444002-14-2-111200-400-2-222-2-2-2000000002011-1-1000000000000000000000000
χ6388-8-4-4-4242-4-4-4002-14-2-11120040022-2-222-200000000-20-1-111000000000000000000000000
χ648-808-82-404-200002-400400-200000000000004i−4i000000000000000000000−2i2i000000000000
χ658-808-82-404-200002-400400-20000000000000−4i4i0000000000000000000002i−2i000000000000
χ668-808-8-420-244-400-4200-2004000004-400-2200000000000-2200000000000000000000000000
χ678-808-8-420-24-4400-4200-200400000-44002-2000000000002-200000000000000000000000000
χ688-80-44-420-244-4002-1001−3i33i3-200000-22−2i32i3-22000000000001-1i3−i3000000000000000000000000
χ698-80-44-420-244-4002-10013i3−3i3-200000-222i3−2i3-22000000000001-1−i3i3000000000000000000000000
χ708-80-44-420-24-44002-1001−3i33i3-2000002-22i3−2i32-200000000000-11−i3i3000000000000000000000000
χ718-80-44-420-24-44002-10013i3−3i3-2000002-2−2i32i32-200000000000-11i3−i3000000000000000000000000
χ7216-160-884-808-40000-2400-400200000000000000000000000000000000000000000000000000

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