Finite Group Databasebeta

← Group #14299609

Character table — Group #14299609

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444445588888888881010101010121216161616161616162020202020202024404040404040404040404040404848484860606060606060606060120
order1223446561012122281015202024243060602446622304040601201201201204444612128448121212121212121224241010404022444444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111111-1-1111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1
χ511111111111111-11111-1-111111111111-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1
χ611111111111111-11111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-111-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1
χ711111111111111-11111-1-111111111-1-11-1-11-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ811111111111111-11111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11
χ9111111111111-1-11111111111-1-1-1-1-11111111111i−ii−i-1-1-11i−i-1i−ii−iii−i−i-1-11111-1-1i−ii−iii−i−i-1
χ10111111111111-1-11111111111-1-1-1-1-11111111111−ii−ii-1-1-11−ii-1−ii−ii−i−iii-1-11111-1-1−ii−ii−i−iii-1
χ11111111111111-1-11111111111-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1i−i-1i−ii−iii−i−i-1-1-1-1-1-111−ii−ii−i−iii1
χ12111111111111-1-11111111111-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1−ii-1−ii−ii−i−iii-1-1-1-1-1-111i−ii−iii−i−i1
χ13111111111111-1-1-11111-1-1111-1-1-1-1-1111-1-11-1-1-1-1i−ii−i-1-1-1-1−ii1i−ii−i−i−iii1111-1-1-1-1i−ii−i−i−iii1
χ14111111111111-1-1-11111-1-1111-1-1-1-1-1111-1-11-1-1-1-1−ii−ii-1-1-1-1i−i1−ii−iiii−i−i1111-1-1-1-1−ii−iiii−i−i1
χ15111111111111-1-1-11111-1-1111-1-1-1-1-1-1-11-1-11-1-1-1-1i−ii−i-1-1-11−ii1i−ii−i−i−iii11-1-11111−ii−iiii−i−i-1
χ16111111111111-1-1-11111-1-1111-1-1-1-1-1-1-11-1-11-1-1-1-1−ii−ii-1-1-11i−i1−ii−iiii−i−i11-1-11111i−ii−i−i−iii-1
χ172222-2-22222-2-222022-2-2002-2-22-2-2222-2200-2000000002-2-2000000000000002-2002-2000000000
χ182222-2-22222-2-222022-2-2002-2-22-2-222-22200-2000000002-2-200000000000000-2200-22000000000
χ192222-2-22222-2-2-2-2022-2-2002-2-2-222-2-22-2200-200000000-222000000000000002-200-22000000000
χ202222-2-22222-2-2-2-2022-2-2002-2-2-222-2-2-22200-200000000-22200000000000000-22002-2000000000
χ21222-122-12-12-1-12222-122-1-1-1-1-1222-1-100-122-1-1-1-1-12222-1-1-10222-1-1-1-1-1-1-1-1-1-1000000000000000
χ22222-122-12-12-1-12222-122-1-1-1-1-1222-1-100-122-1-1-1-1-1-2-2-2-2-1-1-10-2-2211111111-1-1000000000000000
χ23222-122-12-12-1-122-22-12211-1-1-1222-1-100-1-2-2-111112222-1-1-10-2-2-2-1-1-1-1111111000000000000000
χ24222-122-12-12-1-122-22-12211-1-1-1222-1-100-1-2-2-11111-2-2-2-2-1-1-1022-21111-1-1-1-111000000000000000
χ25222-122-12-12-1-1-2-222-122-1-1-1-1-1-2-2-21100-122-1-1-1-1-12i−2i2i−2i11102i−2i-2−ii−ii−i−iii11000000000000000
χ26222-122-12-12-1-1-2-222-122-1-1-1-1-1-2-2-21100-122-1-1-1-1-1−2i2i−2i2i1110−2i2i-2i−ii−iii−i−i11000000000000000
χ27222-122-12-12-1-1-2-2-22-12211-1-1-1-2-2-21100-1-2-2-111112i−2i2i−2i1110−2i2i2−ii−iiii−i−i-1-1000000000000000
χ28222-122-12-12-1-1-2-2-22-12211-1-1-1-2-2-21100-1-2-2-11111−2i2i−2i2i11102i−2i2i−ii−i−i−iii-1-1000000000000000
χ2922-222-222-22-22220-222-200222-22-22200-200-2000022-2-2-22-2000022-2-2000000000000000000000
χ3022-222-222-22-22220-222-200222-22-22200-200-20000-2-222-22-20000-2-222000000000000000000000
χ3122-222-222-22-22-2-20-222-2002222-22-2-200-200-200002i−2i−2i2i2-2200002i−2i−2i2i000000000000000000000
χ3222-222-222-22-22-2-20-222-2002222-22-2-200-200-20000−2i2i2i−2i2-220000−2i2i2i−2i000000000000000000000
χ3322-22-2222-222-2220-22-22002-2-2-2-222200-200200000000-2-220000000000000000000022-2-200000
χ3422-22-2222-222-2220-22-22002-2-2-2-222200-200200000000-2-2200000000000000000000-2-22200000
χ3522-22-2222-222-2-2-20-22-22002-2-222-2-2-200-20020000000022-2000000000000000000002i−2i−2i2i00000
χ3622-22-2222-222-2-2-20-22-22002-2-222-2-2-200-20020000000022-200000000000000000000−2i2i2i−2i00000
χ3722-2-12-2-12121-1220-2-12-2−i3i3-1-1-1-22-2-1-1001001−i3−i3i3i322-2-21-110000-1-111−i3i3−i3i3−i3i3000000000000000
χ3822-2-12-2-12121-1220-2-12-2−i3i3-1-1-1-22-2-1-1001001−i3−i3i3i3-2-2221-11000011-1-1i3−i3i3−i3−i3i3000000000000000
χ3922-2-12-2-12121-1220-2-12-2i3−i3-1-1-1-22-2-1-1001001i3i3−i3−i322-2-21-110000-1-111i3−i3i3−i3i3−i3000000000000000
χ4022-2-12-2-12121-1220-2-12-2i3−i3-1-1-1-22-2-1-1001001i3i3−i3−i3-2-2221-11000011-1-1−i3i3−i3i3i3−i3000000000000000
χ4122-2-12-2-12121-1-2-20-2-12-2−i3i3-1-1-12-2211001001−i3−i3i3i32i−2i−2i2i-11-10000−iii−i3−3−33i3−i3000000000000000
χ4222-2-12-2-12121-1-2-20-2-12-2−i3i3-1-1-12-2211001001−i3−i3i3i3−2i2i2i−2i-11-10000i−i−ii−333−3i3−i3000000000000000
χ4322-2-12-2-12121-1-2-20-2-12-2i3−i3-1-1-12-2211001001i3i3−i3−i32i−2i−2i2i-11-10000−iii−i−333−3−i3i3000000000000000
χ4422-2-12-2-12121-1-2-20-2-12-2i3−i3-1-1-12-2211001001i3i3−i3−i3−2i2i2i−2i-11-10000i−i−ii3−3−33−i3i3000000000000000
χ454444444-14-144004-1-1-1-144-1-1-10000044-1-1-1-1-1-1-1-1000000040000000000000-1-1-1-100000000000
χ464444444-14-144004-1-1-1-144-1-1-100000-4-4-1-1-1-1-1-1-1-10000000-40000000000000111100000000000
χ474444444-14-14400-4-1-1-1-1-4-4-1-1-10000044-111-111110000000-40000000000000-1-11100000000000
χ484444444-14-14400-4-1-1-1-1-4-4-1-1-100000-4-4-111-1111100000004000000000000011-1-100000000000
χ494444-4-44-14-1-4-4000-1-11100-111000004-4-1−i5i51−i5i5−i5i5000000000000000000000-11−i5i500000000000
χ504444-4-44-14-1-4-4000-1-11100-111000004-4-1i5−i51i5−i5i5−i5000000000000000000000-11i5−i500000000000
χ514444-4-44-14-1-4-4000-1-11100-11100000-44-1−i5i51−i5i5−i5i50000000000000000000001-1i5−i500000000000
χ524444-4-44-14-1-4-4000-1-11100-11100000-44-1i5−i51i5−i5i5−i50000000000000000000001-1−i5i500000000000
χ53444-2-4-4-24-24224404-2-4-400-2224-4-4-2-200-200200000000-22200000000000000000000000000000
χ54444-2-4-4-24-2422-4-404-2-4-400-222-4442200-2002000000002-2-200000000000000000000000000000
χ5544-4-2-44-2424-22440-4-2-4400-222-4-44-2-200200-20000000022-200000000000000000000000000000
χ5644-4-2-44-2424-22-4-40-4-2-4400-22244-42200200-200000000-2-2200000000000000000000000000000
χ574-40400-440-4004-40040000-4000004-4000000000000000000000000000000000000000002i−2i2i−2i0
χ584-40400-440-4004-40040000-4000004-400000000000000000000000000000000000000000−2i2i−2i2i0
χ594-40400-440-400-440040000-400000-44000000000000000000000000000000000000000002-2-220
χ604-40400-440-400-440040000-400000-4400000000000000000000000000000000000000000-222-20
χ61888-488-4-2-4-2-4-4008-21-2-2-4-411100000001-2-211111000000000000000000000000000000000000
χ62888-488-4-2-4-2-4-400-8-21-2-24411100000001221-1-1-1-1000000000000000000000000000000000000
χ63888-4-8-8-4-2-4-244000-2122001-1-100000001−2i52i5-1i5−i5i5−i5000000000000000000000000000000000000
χ64888-4-8-8-4-2-4-244000-2122001-1-1000000012i5−2i5-1−i5i5−i5i5000000000000000000000000000000000000
χ6588-888-88-2-8-2-880002-2-2200-2-2-2000000020020000000000000000000000000000000000000000
χ6688-88-888-2-8-28-80002-22-200-2220000000200-20000000000000000000000000000000000000000
χ6788-8-48-8-4-24-24-400021-22−4i34i31110000000-100-1i3i3−i3−i3000000000000000000000000000000000000
χ6888-8-48-8-4-24-24-400021-224i3−4i31110000000-100-1−i3−i3i3i3000000000000000000000000000000000000
χ6988-8-4-88-4-24-2-44000212-2001-1-10000000-1001−151515−15000000000000000000000000000000000000
χ7088-8-4-88-4-24-2-44000212-2001-1-10000000-100115−15−1515000000000000000000000000000000000000
χ718-80-400480-8008-800-40000400000-440000000000000000000000000000000000000000000000
χ728-80-400480-800-8800-400004000004-40000000000000000000000000000000000000000000000
χ7316-1601600-16-404000000-40000400000000000000000000000000000000000000000000000000000
χ7416-160-8008-40400000020000-2−215215000000000000000000000000000000000000000000000000000
χ7516-160-8008-40400000020000-2215−215000000000000000000000000000000000000000000000000000

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