Finite Group Databasebeta

← Group #14313901

Character table — Group #14313901

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222444444444444444444455888888888888888888888888101010101010101010161616161616161616161616202020202020204040404040406060606060606060120120120120
order122344688121256810121515202024242424303060606060222466101212203030404040406060120120120120120120120120244668812121010202030303030606060606812242424242466121216161616161616164444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ911-11-11111-1-11-1-11111-1-111-1-111-1-1-1-1111-111-1-1-11-1-111-1-1111111-1-1-1-1-11-11111-1-111-1-11111-1-1-1-1-1-1111-1-11-111-1-111-1-111-1-11-11-1
χ1011-11-11111-1-11-1-11111-1-111-1-111-1-1-1-1111-111-1-1-11-1-111-1-1111111-1-1-1-1-11-11111-1-111-1-11111-1-1-1-1-1-1111-1-11-111-1-1-1-111-1-111-11-11
χ1111-11-11111-1-11-1-11111-1-111-1-111-1-1-1-111-11-1-1-1111-1-111-1-1111111-1-1-1-1-11-11111-1-1-1-111-1-1-1-11111-1-1111-1-1-11-1-11111-1-111-1-1-11-11
χ1211-11-11111-1-11-1-11111-1-111-1-111-1-1-1-111-11-1-1-1111-1-111-1-1111111-1-1-1-1-11-11111-1-1-1-111-1-1-1-11111-1-1111-1-1-11-1-111-1-111-1-1111-11-1
χ1311-11-11111-1-11-1-11111-1-111-1-111-1-1-1-1-1-11-111-1-1-11-1-111-1-1111111-1-1-1-11-11-1-1-1-11111-1-11111-1-1-1-111-1-1-111-11-1-111ii−i−i−i−iiii−i−ii
χ1411-11-11111-1-11-1-11111-1-111-1-111-1-1-1-1-1-11-111-1-1-11-1-111-1-1111111-1-1-1-11-11-1-1-1-11111-1-11111-1-1-1-111-1-1-111-11-1-111−i−iiiii−i−i−iii−i
χ1511-11-11111-1-11-1-11111-1-111-1-111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1111111-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1111-111-1-1ii−i−i−i−iii−iii−i
χ1611-11-11111-1-11-1-11111-1-111-1-111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1111111-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1111111-1-1-1111-111-1-1−i−iiiii−i−ii−i−ii
χ172222222-2-22222-2222222-2-2-2-2222222220000200222-2-2-2-222-2-2-2-2-2-2-2-222222-2-2220000000000002-22-2-2-2-2000000000000000000
χ182222222-2-22222-2222222-2-2-2-2222222-2-20000200222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000000000-22-22222000000000000000000
χ192222-2-2200-2-22202-222-2-2000022-2-2-2-2220000200-2220000-2-2000000002-2-22200-2-200000000000020-200000000002−22−22−22−20000
χ202222-2-2200-2-22202-222-2-2000022-2-2-2-2220000200-2220000-2-2000000002-2-22200-2-200000000000020-20000000000−22−22−22−220000
χ212222-2-2200-2-22202-222-2-2000022-2-2-2-2-2-20000200-2220000-2-200000000-222-2-20022000000000000-2020000000000−i2i2−i2i2i2−i2i2−i20000
χ222222-2-2200-2-22202-222-2-2000022-2-2-2-2-2-20000200-2220000-2-200000000-222-2-20022000000000000-2020000000000i2−i2i2−i2−i2i2−i2i20000
χ23222-122-122-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1222-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1000000000000
χ24222-122-122-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-2-2-2-211111111-12-1-1-1-1-1-2-21111000000000000
χ25222-122-122-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-2-222-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2112222-1-1-1-1-1-1-1-11-211111-2-21111000000000000
χ26222-122-122-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-211-2-211-2-2-2-2111111111-21111122-1-1-1-1000000000000
χ27222-122-1-2-2-1-12-1-22-1-1-1221111-1-1-1-1-1-12200−i3i32−i3i32-1-1-2-2-2-2-1-111111111222-1-1-2-2-1-10000−i3−i3i3i3−i3−i3i3i3-1-2-1111100−i3i3−i3i3000000000000
χ28222-122-1-2-2-1-12-1-22-1-1-1221111-1-1-1-1-1-12200i3−i32i3−i32-1-1-2-2-2-2-1-111111111222-1-1-2-2-1-10000i3i3−i3−i3i3i3−i3−i3-1-2-1111100i3−i3i3−i3000000000000
χ29222-122-1-2-2-1-12-1-22-1-1-1221111-1-1-1-1-1-1-2-200−i3i32−i3i32-1-1-2-2-2-2-1-111111111-2-2-21122110000−i3−i3i3i3−i3−i3i3i3121-1-1-1-100i3−i3i3−i3000000000000
χ30222-122-1-2-2-1-12-1-22-1-1-1221111-1-1-1-1-1-1-2-200i3−i32i3−i32-1-1-2-2-2-2-1-111111111-2-2-21122110000i3i3−i3−i3i3i3−i3−i3121-1-1-1-100−i3i3−i3i3000000000000
χ3122-222-2200222-202-222220000222222220000-200-2-2-20000-2-200000000-2-22220022000000000000-20-200000000002−2−222−2−220000
χ3222-222-2200222-202-222220000222222220000-200-2-2-20000-2-200000000-2-22220022000000000000-20-20000000000−222−2−222−20000
χ3322-222-2200222-202-222220000222222-2-20000-200-2-2-20000-2-20000000022-2-2-200-2-20000000000002020000000000−i2i2i2−i2i2−i2−i2i20000
χ3422-222-2200222-202-222220000222222-2-20000-200-2-2-20000-2-20000000022-2-2-200-2-20000000000002020000000000i2−i2−i2i2−i2i2i2−i20000
χ3522-22-222-2-2-2-22-222222-2-2-2-22222-2-2-2-2220000-2002-2-2-2-22222-2-2-2-22222-22-222-2-2-2-2000000000000-222-2-222000000000000000000
χ3622-22-222-2-2-2-22-222222-2-2-2-22222-2-2-2-2-2-20000-2002-2-2-2-22222-2-2-2-222222-22-2-222220000000000002-2-222-2-2000000000000000000
χ3722-2-1-22-1221121-22-1-1-1-2-2-1-111-1-11111222-2-1-1-21121122-2-2-1-1-1-1-1-11111-22-2-1-1221122-2-2-1-1-1-111111-2-1-1-1112-2-1-111000000000000
χ3822-2-1-22-1221121-22-1-1-1-2-2-1-111-1-1111122-2211-2-1-121122-2-2-1-1-1-1-1-11111-22-2-1-12211-2-2221111-1-1-1-11-2-1-1-111-2211-1-1000000000000
χ3922-2-1-22-1221121-22-1-1-1-2-2-1-111-1-11111-2-22-2-1-1-21121122-2-2-1-1-1-1-1-111112-2211-2-2-1-122-2-2-1-1-1-11111-12111-1-1-2211-1-1000000000000
χ4022-2-1-22-1221121-22-1-1-1-2-2-1-111-1-11111-2-2-2211-2-1-121122-2-2-1-1-1-1-1-111112-2211-2-2-1-1-2-2221111-1-1-1-1-12111-1-12-2-1-111000000000000
χ4122-2-1-22-1-2-2112122-1-1-1-2-211-1-1-1-111112200−i3i3-2i3−i3211-2-222-1-11111-1-1-1-1-22-2-1-1-2-2110000−i3−i3i3i3i3i3−i3−i312-111-1-100−i3i3i3−i3000000000000
χ4222-2-1-22-1-2-2112122-1-1-1-2-211-1-1-1-111112200i3−i3-2−i3i3211-2-222-1-11111-1-1-1-1-22-2-1-1-2-2110000i3i3−i3−i3−i3−i3i3i312-111-1-100i3−i3−i3i3000000000000
χ4322-2-1-22-1-2-2112122-1-1-1-2-211-1-1-1-11111-2-200−i3i3-2i3−i3211-2-222-1-11111-1-1-1-12-221122-1-10000−i3−i3i3i3i3i3−i3−i3-1-21-1-11100i3−i3−i3i3000000000000
χ4422-2-1-22-1-2-2112122-1-1-1-2-211-1-1-1-11111-2-200i3−i3-2−i3i3211-2-222-1-11111-1-1-1-12-221122-1-10000i3i3−i3−i3−i3−i3i3i3-1-21-1-11100−i3i3i3−i3000000000000
χ4544444444444-144-14-1-1-1-14444-1-1-1-1-1-1004444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000
χ4644444444444-144-14-1-1-1-14444-1-1-1-1-1-100-4-4-4-4-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000001111111111110000000000000000000000000
χ474444444-4-444-14-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-1000000-100-1-1-11111-1-111111111000000000−55−55−55−55−55−550000000000000000000000000
χ484444444-4-444-14-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-1000000-100-1-1-11111-1-1111111110000000005−55−55−55−55−55−50000000000000000000000000
χ49444-244-244-2-2-1-24-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1520044-2-2-1-2-2-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1520000000000000000000000000
χ50444-244-244-2-2-1-24-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i15200-4-422-122-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000000001111−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i1520000000000000000000000000
χ51444-244-244-2-2-1-24-1-21+i1521−i152-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1520044-2-2-1-2-2-11+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000-1-1-1-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1520000000000000000000000000
χ52444-244-244-2-2-1-24-1-21+i1521−i152-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i15200-4-422-122-11+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000000001111−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i1520000000000000000000000000
χ53444-244-2-4-4-2-2-1-2-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i1520000−2i32i3-1−2i32i3-11−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000000005−55−5ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ1160000000000000000000000000
χ54444-244-2-4-4-2-2-1-2-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i15200002i3−2i3-12i3−2i3-11−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000000−55−55−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ1160000000000000000000000000
χ55444-244-2-4-4-2-2-1-2-4-1-21+i1521−i152-1-122221+i1521−i1521+i1521+i1521−i1521−i1520000−2i32i3-1−2i32i3-11+i1521−i15211111+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000000−55−55ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ92ζ4−ζ68+ζ76−ζ92ζ28−ζ44+ζ52−ζ116−ζ28+ζ44−ζ52+ζ116−ζ4+ζ68−ζ76+ζ920000000000000000000000000
χ56444-244-2-4-4-2-2-1-2-4-1-21+i1521−i152-1-122221+i1521−i1521+i1521+i1521−i1521−i15200002i3−2i3-12i3−2i3-11+i1521−i15211111+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520000000005−55−5−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ92−ζ4+ζ68−ζ76+ζ92−ζ28+ζ44−ζ52+ζ116ζ28−ζ44+ζ52−ζ116ζ4−ζ68+ζ76−ζ920000000000000000000000000
χ57444-2-4-4-200224-2042-2-2-4-40000-2-22222440000400-4-2-2000022000000004-4-4-2-20022000000000000-2020000000000000000000000
χ58444-2-4-4-200224-2042-2-2-4-40000-2-22222-4-40000400-4-2-200002200000000-4442200-2-200000000000020-20000000000000000000000
χ5944-44-44444-4-4-1-4-4-14-1-11144-4-4-1-11111004-4441-4-4-111-1-111-1-1-1-1-1-11111000000000-1-111-1-1-1-111110000000000000000000000000
χ6044-44-44444-4-4-1-4-4-14-1-11144-4-4-1-1111100-44-4-4144-111-1-111-1-1-1-1-1-1111100000000011-1-11111-1-1-1-10000000000000000000000000
χ6144-44-444-4-4-4-4-1-44-14-1-111-4-444-1-11111000000100-11111-1-1-1-11111-1-1-1-1000000000−555−5−55−555−55−50000000000000000000000000
χ6244-44-444-4-4-4-4-1-44-14-1-111-4-444-1-11111000000100-11111-1-1-1-11111-1-1-1-10000000005−5−555−55−5−55−550000000000000000000000000
χ6344-4-24-4-200-2-242042-2-2440000-2-2-2-2-2-2440000-400-42200002200000000-4-44-2-200-2-20000000000002020000000000000000000000
χ6444-4-24-4-200-2-242042-2-2440000-2-2-2-2-2-2-4-40000-400-4220000220000000044-4220022000000000000-20-20000000000000000000000
χ6544-4-2-44-24422-12-4-1-21−i1521+i15211-2-2221−i1521+i152−1+i152−1+i152−1−i152−1−i152004-4-2-2122-1−1+i152−1−i152-1-1111−i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152000000000-1-1111−i1521+i1521+i1521−i152−1+i152−1−i152−1−i152−1+i1520000000000000000000000000
χ6644-4-2-44-24422-12-4-1-21−i1521+i15211-2-2221−i1521+i152−1+i152−1+i152−1−i152−1−i15200-44221-2-2-1−1+i152−1−i152-1-1111−i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i15200000000011-1-1−1+i152−1−i152−1−i152−1+i1521−i1521+i1521+i1521−i1520000000000000000000000000
χ6744-4-2-44-24422-12-4-1-21+i1521−i15211-2-2221+i1521−i152−1−i152−1−i152−1+i152−1+i152004-4-2-2122-1−1−i152−1+i152-1-1111+i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000000000-1-1111+i1521−i1521−i1521+i152−1−i152−1+i152−1+i152−1−i1520000000000000000000000000
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χ1018-80-4004−4242−4343-200201−i151+i15−2i52i522−2226−26−1+i15−1−i15−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ940000000000002−2−i10i1000−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109−ζ7−ζ13+ζ29−ζ37+ζ71+ζ101−ζ103+ζ119ζ7+ζ13−ζ29+ζ37−ζ71−ζ101+ζ103−ζ119ζ23−ζ31+ζ47+ζ53−ζ61+ζ77−ζ79−ζ109−ζ23+ζ31−ζ47−ζ53+ζ61−ζ77+ζ79+ζ1090000000000000000000000000000000000000000000000
χ1028-80-4004−4242−4343-200201+i151−i152i5−2i522−2226−26−1−i15−1+i15−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ1180000000000002−2i10−i1000−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23−ζ31+ζ47+ζ53−ζ61+ζ77−ζ79−ζ109−ζ23+ζ31−ζ47−ζ53+ζ61−ζ77+ζ79+ζ109−ζ7−ζ13+ζ29−ζ37+ζ71+ζ101−ζ103+ζ119ζ7+ζ13−ζ29+ζ37−ζ71−ζ101+ζ103−ζ1190000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.