Finite Group Databasebeta

← Group #14302619

Character table — Group #14302619

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444444455888888888101010101016161616161616162020202020242430303030404040404040404040404040404048484848606060606060120120
order12234462456101212446101215202030606022412121020303030606060246612484444446881212121212242424242020404044444428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111-1-11111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111-1-1111111111-1-1-1-1-111111111-1-1-1-1-111ii−i−ii−i-1i−i-1ii−i−iii−i−i1111iii−i−i−i-1-1
χ611111111111111-1-1111111111-1-1-1-1-111111111-1-1-1-1-111−i−iii−ii-1−ii-1−i−iii−i−iii1111−i−i−iiii-1-1
χ711111111111111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1ii−i−i−ii-1−ii-1−i−iii−i−iii-1-1-1-1iii−i−i−i11
χ811111111111111-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1−i−iiii−i-1i−i-1ii−i−iii−i−i-1-1-1-1−i−i−iiii11
χ91111111-1-11111111-11-111111111111-1-11-1-11-1-1-1-11111-11111-1-1-111-1-1-1-1-1111111-1-11-1-11-1-11-1
χ101111111-1-11111111-11-111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111-1111-1
χ111111111-1-11111111-11-111111111111-1-11-1-11-1-1-1-1111-11111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-11
χ121111111-1-11111111-11-111111111111-1-11-1-11-1-1-1-1111-11-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-111-111-11
χ131111111-1-111111-1-1-11-1111111-1-1-1-1-1-1-11-1-11-1-111-1-1-11-1ii−i−i−ii1i−i1−i−iiiii−i−i11-1-1i−i−i−iii-11
χ141111111-1-111111-1-1-11-1111111-1-1-1-1-1-1-11-1-11-1-111-1-1-11-1−i−iiii−i1−ii1ii−i−i−i−iii11-1-1−iiii−i−i-11
χ151111111-1-111111-1-1-11-1111111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11ii−i−ii−i1−ii1ii−i−i−i−iii-1-111i−i−i−iii1-1
χ161111111-1-111111-1-1-11-1111111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11−i−iii−ii1i−i1−i−iiiii−i−i-1-111−iiii−i−i1-1
χ172222-2-2200222-2-2220202-2-22-2-2-2-222200200-20000-2-2200000000000000000000000002i−2i02i−2i00
χ182222-2-2200222-2-2220202-2-22-2-2-2-222200200-20000-2-220000000000000000000000000−2i2i0−2i2i00
χ192222-2-2200222-2-2-2-20202-2-22-2-222-2-2-200200-2000022-200000000000000000000000002-20-2200
χ202222-2-2200222-2-2-2-20202-2-22-2-222-2-2-200200-2000022-20000000000000000000000000-2202-200
χ21222-122-1222-12-1-122-12-1-122-1-1-1222-1-122-1-1-1-1-1-122-1-1-100000022-122-1-1-1-1-1-1-1-1-1000000000000
χ22222-122-1222-12-1-122-12-1-122-1-1-1222-1-122-1-1-1-1-1-122-1-1-1000000-2-2-1-2-2-111111111000000000000
χ23222-122-1222-12-1-1-2-2-12-1-122-1-1-1-2-2-21122-1-1-1-1-1-1-2-21110000002i−2i12i−2i1−i−iii−i−iii000000000000
χ24222-122-1222-12-1-1-2-2-12-1-122-1-1-1-2-2-21122-1-1-1-1-1-1-2-2111000000−2i2i1−2i2i1ii−i−iii−i−i000000000000
χ25222-122-1-2-22-12-1-122121-122-1-1-1222-1-1-2-2-111-111-2-2-1-1-1000000221-2-21-1-1-1-11111000000000000
χ26222-122-1-2-22-12-1-122121-122-1-1-1222-1-1-2-2-111-111-2-2-1-1-1000000-2-212211111-1-1-1-1000000000000
χ27222-122-1-2-22-12-1-1-2-2121-122-1-1-1-2-2-211-2-2-111-111221110000002i−2i-1−2i2i-1−i−iiiii−i−i000000000000
χ28222-122-1-2-22-12-1-1-2-2121-122-1-1-1-2-2-211-2-2-111-11122111000000−2i2i-12i−2i-1ii−i−i−i−iii000000000000
χ2922-222-22002-222-2220-2022-2222-22-22200-200-200002-2-2002222000000000000000000-200-20000
χ3022-222-22002-222-2220-2022-2222-22-22200-200-200002-2-200-2-2-2-200000000000000000020020000
χ3122-222-22002-222-2-2-20-2022-22222-22-2-200-200-20000-222002i2i−2i−2i000000000000000000−2i002i0000
χ3222-222-22002-222-2-2-20-2022-22222-22-2-200-200-20000-22200−2i−2i2i2i0000000000000000002i00−2i0000
χ3322-22-2222-22-22-22222-2-22-222-2-22-2-2222-2-2222-2-2-22-22-200000000-200200000000000000000000
χ3422-22-2222-22-22-22-2-22-2-22-222-2-2-222-2-22-2-2222-2-22-22-2200000000200-200000000000000000000
χ3522-22-222-222-22-2222-2-222-222-2-22-2-222-22-2-2-22222-2-22-200000000200-200000000000000000000
χ3622-22-222-222-22-22-2-2-2-222-222-2-2-222-2-2-22-2-2-2222-222-2200000000-200200000000000000000000
χ3722-2-1-22-12-22121-122-1-21-1-22-1112-2-2-1-12-21-1-1-111-221-1100000000100-1−i3i3−i3i3−i3i3−i3i3000000000000
χ3822-2-1-22-12-22121-122-1-21-1-22-1112-2-2-1-12-21-1-1-111-221-1100000000100-1i3−i3i3−i3i3−i3i3−i3000000000000
χ3922-2-1-22-12-22121-1-2-2-1-21-1-22-111-222112-21-1-1-1112-2-11-100000000-10013−3−333−3−33000000000000
χ4022-2-1-22-12-22121-1-2-2-1-21-1-22-111-222112-21-1-1-1112-2-11-100000000-1001−333−3−333−3000000000000
χ4122-2-1-22-1-222121-1221-2-1-1-22-1112-2-2-1-1-22111-1-1-12-21-1100000000-1001−i3i3−i3i3i3−i3i3−i3000000000000
χ4222-2-1-22-1-222121-1221-2-1-1-22-1112-2-2-1-1-22111-1-1-12-21-1100000000-1001i3−i3i3−i3−i3i3−i3i3000000000000
χ4322-2-1-22-1-222121-1-2-21-2-1-1-22-111-22211-22111-1-1-1-22-11-100000000100-13−3−33−333−3000000000000
χ4422-2-1-22-1-222121-1-2-21-2-1-1-22-111-22211-22111-1-1-1-22-11-100000000100-1−333−33−3−33000000000000
χ45444444444-14-144004-14-1-1-1-1-1-100000-1-1-1-1-1-1-1-10000044000000000000000000-1-1-1-100000000
χ46444444444-14-144004-14-1-1-1-1-1-100000-1-1-1-1-1-1-1-100000-4-4000000000000000000111100000000
χ474444444-4-4-14-14400-4-1-4-1-1-1-1-1-10000011-111-111000004-4000000000000000000-1-11100000000
χ484444444-4-4-14-14400-4-1-4-1-1-1-1-1-10000011-111-11100000-4400000000000000000011-1-100000000
χ49444-2-4-4-2004-242244040-2-4-4-222-4-44-2-200-2002000022-200000000000000000000000000000000
χ50444-2-4-4-2004-2422-4-4040-2-4-4-22244-42200-20020000-2-2200000000000000000000000000000000
χ5144-44-4444-4-1-4-1-440041-4-11-1-11100000-111-1-1-1110000000000000000000000000−55−5500000000
χ5244-44-4444-4-1-4-1-440041-4-11-1-11100000-111-1-1-11100000000000000000000000005−55−500000000
χ5344-44-444-44-1-4-1-4400-414-11-1-111000001-1111-1-1-10000000000000000000000000−555−500000000
χ5444-44-444-44-1-4-1-4400-414-11-1-111000001-1111-1-1-100000000000000000000000005−5−5500000000
χ5544-4-24-4-200424-22440-40-24-4-2-2-2-44-4-2-20020020000-22200000000000000000000000000000000
χ5644-4-24-4-200424-22-4-40-40-24-4-2-2-24-442200200200002-2-200000000000000000000000000000000
χ574-40400-40040-4004i−4i000400-4000004i−4i0000000000000002+2i−2−2i2−2i−2+2i00000000000000000000000000
χ584-40400-40040-4004i−4i000400-4000004i−4i000000000000000−2−2i2+2i−2+2i2−2i00000000000000000000000000
χ594-40400-40040-400−4i4i000400-400000−4i4i0000000000000002−2i−2+2i2+2i−2−2i00000000000000000000000000
χ604-40400-40040-400−4i4i000400-400000−4i4i000000000000000−2+2i2−2i−2−2i2+2i00000000000000000000000000
χ618888-8-8800-28-2-8-8000-20-222-2220000000-2002000000000000000000000000000000000000000
χ62888-488-488-2-4-2-4-400-4-2-41-2-211100000-2-21111110000000000000000000000000000000000000
χ63888-488-4-8-8-2-4-2-4-4004-241-2-211100000221-1-11-1-10000000000000000000000000000000000000
χ64888-4-8-8-400-2-4-244000-201221-1-100000001−i15i15-1−i15i150000000000000000000000000000000000000
χ65888-4-8-8-400-2-4-244000-201221-1-100000001i15−i15-1i15−i150000000000000000000000000000000000000
χ6688-888-8800-2-8-28-800020-2-22-2-2-200000002002000000000000000000000000000000000000000
χ6788-8-48-8-400-24-2-44000201-221110000000-1−i15i15-1i15−i150000000000000000000000000000000000000
χ6888-8-48-8-400-24-2-44000201-221110000000-1i15−i15-1−i15i150000000000000000000000000000000000000
χ6988-8-4-88-48-8-24-24-400-42412-21-1-100000-22-1111-1-10000000000000000000000000000000000000
χ7088-8-4-88-4-88-24-24-40042-412-21-1-1000002-2-1-1-11110000000000000000000000000000000000000
χ718-80-40040080-8008i−8i000-400400000−4i4i000000000000000000000000000000000000000000000
χ728-80-40040080-800−8i8i000-4004000004i−4i000000000000000000000000000000000000000000000
χ7316-1601600-1600-4040000000-40040000000000000000000000000000000000000000000000000000
χ7416-160-800800-4040000000200-2−21521500000000000000000000000000000000000000000000000000
χ7516-160-800800-4040000000200-2215−21500000000000000000000000000000000000000000000000000

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