Finite Group Databasebeta

← Group #14301743

Character table — Group #14301743

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222224444444445588888888101010101012121616161616161616202020202024242424244040404040404040404040404040484860606060606060606060120
order12222362456661010104461010121530303044412122210203030303060602412121241010101068888122424242424242424202044888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11
χ31111111111111111111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-11111111111111-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ51111111111111111-1-111111111-1-1-1-1-11111111111-1-1-1-1-111111-1ii−i−i-1iiii−i−i−i−i11-1-1iiii−i−i−i−i-1
χ61111111111111111-1-111111111-1-1-1-1-11111111111-1-1-1-1-111111-1−i−iii-1−i−i−i−iiiii11-1-1−i−i−i−iiiii-1
χ71111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1iiii−i−i−i−i-1-111−i−i−i−iiiii1
χ81111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1−i−iii-1−i−i−i−iiiii-1-111iiii−i−i−i−i1
χ91111111-1-1111111111-111-111111111111-1-111-1-1-1-1-1-1111-11111-11-11-1-111-1-111-1-1-1-11111-1-111-1-1-1
χ101111111-1-1111111111-111-111111111111-1-111-1-1-1-1-1-1111-11111-1-11-11-1-1-111-1-111-1-111-1-111-1-111-1
χ111111111-1-1111111111-111-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-111-1-1111
χ121111111-1-1111111111-111-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-1-11
χ131111111-1-11111111-1-1-111-11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111i−i−ii1ii−i−i−i−iii-1-1-1-1ii−i−i−i−iii1
χ141111111-1-11111111-1-1-111-11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111−iii−i1−i−iiiii−i−i-1-1-1-1−i−iiiii−i−i1
χ151111111-1-11111111-1-1-111-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11i−i−ii1ii−i−i−i−iii1111−i−iiiii−i−i-1
χ161111111-1-11111111-1-1-111-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11−iii−i1−i−iiiii−i−i1111ii−i−i−i−iii-1
χ1722222-1-1222-1-1-122222-122-1-1-1-1-1222-1-10022-1-1-1-1-1-122-1-1-100000-12222-1-1-1-1-1-1-1-1-10000000000000
χ1822222-1-1222-1-1-122222-122-1-1-1-1-1222-1-10022-1-1-1-1-1-122-1-1-100000-1-2-2-2-2-1111111110000000000000
χ1922222-1-1222-1-1-1222-2-2-122-1-1-1-1-1-2-2-2110022-1-1-1-1-1-1-2-21110000012i2i−2i−2i1−i−i−i−iiiii0000000000000
χ2022222-1-1222-1-1-1222-2-2-122-1-1-1-1-1-2-2-2110022-1-1-1-1-1-1-2-2111000001−2i−2i2i2i1iiii−i−i−i−i0000000000000
χ2122222-1-1-2-22-1-1-1222221221-1-1-1-1222-1-100-2-2-1-11111-2-2-1-1-10000012-22-21-1-111-1-1110000000000000
χ2222222-1-1-2-22-1-1-1222221221-1-1-1-1222-1-100-2-2-1-11111-2-2-1-1-1000001-22-22111-1-111-1-10000000000000
χ2322222-1-1-2-22-1-1-1222-2-21221-1-1-1-1-2-2-21100-2-2-1-111112211100000-12i−2i−2i2i-1−i−iiiii−i−i0000000000000
χ2422222-1-1-2-22-1-1-1222-2-21221-1-1-1-1-2-2-21100-2-2-1-111112211100000-1−2i2i2i−2i-1ii−i−i−i−iii0000000000000
χ25222-2-2220022-2-22-2-22202-202-2-22-22-22200002-2000000-22-2000000000000000000000002-2002-2000
χ26222-2-2220022-2-22-2-22202-202-2-22-22-22200002-2000000-22-200000000000000000000000-2200-22000
χ27222-2-2220022-2-22-2-2-2-202-202-2-222-22-2-200002-20000002-22000000000000000000000002i−2i00−2i2i000
χ28222-2-2220022-2-22-2-2-2-202-202-2-222-22-2-200002-20000002-2200000000000000000000000−2i2i002i−2i000
χ2922-22-222002-22-22-2-2220-2202-2-22-2-22220000-22000000-2-2200000000000000000000000002-2002-20
χ3022-22-222002-22-22-2-2220-2202-2-22-2-22220000-22000000-2-220000000000000000000000000-2200-220
χ3122-22-222002-22-22-2-2-2-20-2202-2-2222-2-2-20000-2200000022-200000000000000000000000002i−2i00−2i2i0
χ3222-22-222002-22-22-2-2-2-20-2202-2-2222-2-2-20000-2200000022-20000000000000000000000000−2i2i002i−2i0
χ3322-2-22222-22-2-22222222-2-2-222222-2-222002-2-2-222-2-2-222-2-200000-200002000000000000000000000
χ3422-2-22222-22-2-22222-2-22-2-2-22222-222-2-2002-2-2-222-2-22-2-2220000020000-2000000000000000000000
χ3522-2-2222-222-2-2222222-2-2-2222222-2-22200-22-2-2-2-2222-22-2-20000020000-2000000000000000000000
χ3622-2-2222-222-2-22222-2-2-2-2-222222-222-2-200-22-2-2-2-222-22-22200000-200002000000000000000000000
χ3722-2-22-1-12-2211-122222-1-2-21-1-1-1-12-2-2-1-1002-211-1-111-22-1110000010000-13−33−33−33−30000000000000
χ3822-2-22-1-12-2211-122222-1-2-21-1-1-1-12-2-2-1-1002-211-1-111-22-1110000010000-1−33−33−33−330000000000000
χ3922-2-22-1-12-2211-1222-2-2-1-2-21-1-1-1-1-22211002-211-1-1112-21-1-100000-100001−i3i3−i3i3i3−i3i3−i30000000000000
χ4022-2-22-1-12-2211-1222-2-2-1-2-21-1-1-1-1-22211002-211-1-1112-21-1-100000-100001i3−i3i3−i3−i3i3−i3i30000000000000
χ4122-2-22-1-1-22211-1222221-2-2-1-1-1-1-12-2-2-1-100-221111-1-12-2-11100000-1000013−3−333−3−330000000000000
χ4222-2-22-1-1-22211-1222221-2-2-1-1-1-1-12-2-2-1-100-221111-1-12-2-11100000-100001−333−3−333−30000000000000
χ4322-2-22-1-1-22211-1222-2-21-2-2-1-1-1-1-1-2221100-221111-1-1-221-1-10000010000-1−i3i3i3−i3i3−i3−i3i30000000000000
χ4422-2-22-1-1-22211-1222-2-21-2-2-1-1-1-1-1-2221100-221111-1-1-221-1-10000010000-1i3−i3−i3i3−i3i3i3−i30000000000000
χ45444444444-1444-1-1-1004-1-14-1-1-1-10000044-1-1-1-1-1-1-1-1000004-1-1-1-100000000000000-1-100000000000
χ46444444444-1444-1-1-1004-1-14-1-1-1-100000-4-4-1-1-1-1-1-1-1-100000-41111000000000000001100000000000
χ474444444-4-4-1444-1-1-100-4-1-1-4-1-1-1-1000004411-1-1111100000-4-1-1-1-1000000000000001100000000000
χ484444444-4-4-1444-1-1-100-4-1-1-4-1-1-1-100000-4-411-1-11111000004111100000000000000-1-100000000000
χ49444-4-4-2-2004-2224-4-44404-40-222-2-44-4-2-20000-220000002-2200000000000000000000000000000000
χ50444-4-4-2-2004-2224-4-4-4-404-40-222-24-44220000-22000000-22-200000000000000000000000000000000
χ5144-44-4-2-20042-224-4-4440-440-222-2-4-44-2-200002-200000022-200000000000000000000000000000000
χ5244-44-4-2-20042-224-4-4-4-40-440-222-244-42200002-2000000-2-2200000000000000000000000000000000
χ5344-4-44444-4-1-4-44-1-1-100411-4-1-1-1-10000000-1111-1-111000000−5−55500000000000000−5500000000000
χ5444-4-44444-4-1-4-44-1-1-100411-4-1-1-1-10000000-1111-1-11100000055−5−5000000000000005−500000000000
χ5544-4-4444-44-1-4-44-1-1-100-4114-1-1-1-100000001-11111-1-1000000−5−555000000000000005−500000000000
χ5644-4-4444-44-1-4-44-1-1-100-4114-1-1-1-100000001-11111-1-100000055−5−500000000000000−5500000000000
χ574-40004-4004000-4004i−4i0000400-40004i−4i2-2000000000000002-22-200000000000000002i−2i000000000
χ584-40004-4004000-4004i−4i0000400-40004i−4i-2200000000000000-22-220000000000000000−2i2i000000000
χ594-40004-4004000-400−4i4i0000400-4000−4i4i2-2000000000000002-22-20000000000000000−2i2i000000000
χ604-40004-4004000-400−4i4i0000400-4000−4i4i-2200000000000000-22-2200000000000000002i−2i000000000
χ6188888-4-488-2-4-4-4-2-2-200-4-2-2-411110000000-2-21111110000000000000000000000000000000000000
χ6288888-4-4-8-8-2-4-4-4-2-2-2004-2-24111100000002211-1-1-1-10000000000000000000000000000000000000
χ63888-8-88800-28-8-8-222000-220-222-2000000000-2200000000000000000000000000000000000000000
χ64888-8-8-4-400-2-444-222000-2201-1-110000000001-1−i15i15−i15i150000000000000000000000000000000000000
χ65888-8-8-4-400-2-444-222000-2201-1-110000000001-1i15−i15i15−i150000000000000000000000000000000000000
χ6688-88-88800-2-88-8-2220002-20-222-20000000002-200000000000000000000000000000000000000000
χ6788-88-8-4-400-24-44-2220002-201-1-11000000000-11−i15i15i15−i150000000000000000000000000000000000000
χ6888-88-8-4-400-24-44-2220002-201-1-11000000000-11i15−i15−i15i150000000000000000000000000000000000000
χ6988-8-88-4-48-8-244-4-2-2-200-422411110000000-22-1-111-1-10000000000000000000000000000000000000
χ7088-8-88-4-4-88-244-4-2-2-200422-4111100000002-2-1-1-1-1110000000000000000000000000000000000000
χ718-80008-800-20002−2525000000-2−25252000004-400000000000000−1−51+5−1+51−5000000000000000000000000000
χ728-80008-800-20002−2525000000-2−2525200000-44000000000000001+5−1−51−5−1+5000000000000000000000000000
χ738-80008-800-2000225−25000000-225−252000004-400000000000000−1+51−5−1−51+5000000000000000000000000000
χ748-80008-800-2000225−25000000-225−25200000-44000000000000001−5−1+51+5−1−5000000000000000000000000000
χ758-8000-44008000-8008i−8i0000-4004000−4i4i00000000000000000000000000000000000000000000000
χ768-8000-44008000-800−8i8i0000-40040004i−4i00000000000000000000000000000000000000000000000
χ7716-16000-8800-40004−4545000000225−25-20000000000000000000000000000000000000000000000000000
χ7816-16000-8800-4000445−450000002−2525-20000000000000000000000000000000000000000000000000000

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