Finite Group Databasebeta

← Group #14301365

Character table — Group #14301365

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444445588888888881010101010121216161616161616162020202020202024404040404040404040404040404848484860606060606060606060120
order1223446561012122281015202024243060602446624304040601201201201204444612122888121212122424242424241010102024444444442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111111-1-1111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111111111-1-1-1-1111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1
χ511111111111111-11111-1-111111111111-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1-1
χ611111111111111-11111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1
χ711111111111111-11111-1-111111111-1-11-1-11-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111
χ811111111111111-11111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11
χ9111111111111-1-11111111111-1-1-1-1-11111111111ii−i−i-1-1-11-1i−iii−i−i-1-1ii−i−i1111-1-1i−ii−iii−i−i-1
χ10111111111111-1-11111111111-1-1-1-1-11111111111−i−iii-1-1-11-1−ii−i−iii-1-1−i−iii1111-1-1−ii−ii−i−iii-1
χ11111111111111-1-11111111111-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1i−iii−i−i-1-1ii−i−i-1-1-1-111−ii−ii−i−iii1
χ12111111111111-1-11111111111-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1−ii−i−iii-1-1−i−iii-1-1-1-111i−ii−iii−i−i1
χ13111111111111-1-1-11111-1-1111-1-1-1-1-1111-1-11-1-1-1-1ii−i−i-1-1-1-11−iiii−i−i11−i−iii1-1-11-1-1i−ii−i−i−iii1
χ14111111111111-1-1-11111-1-1111-1-1-1-1-1111-1-11-1-1-1-1−i−iii-1-1-1-11i−i−i−iii11ii−i−i1-1-11-1-1−ii−iiii−i−i1
χ15111111111111-1-1-11111-1-1111-1-1-1-1-1-1-11-1-11-1-1-1-1ii−i−i-1-1-111−iiii−i−i11−i−iii-111-111−ii−iiii−i−i-1
χ16111111111111-1-1-11111-1-1111-1-1-1-1-1-1-11-1-11-1-1-1-1−i−iii-1-1-111i−i−i−iii11ii−i−i-111-111i−ii−i−i−iii-1
χ172222-2-22222-2-222022-2-2002-2-22-2-22200200-200002-22-22-2-200002-22-2000000000000000000000
χ182222-2-22222-2-222022-2-2002-2-22-2-22200200-20000-22-222-2-20000-22-22000000000000000000000
χ192222-2-22222-2-2-2-2022-2-2002-2-2-222-2-200200-200002i−2i−2i2i-22200002i−2i−2i2i000000000000000000000
χ202222-2-22222-2-2-2-2022-2-2002-2-2-222-2-200200-20000−2i2i2i−2i-2220000−2i2i2i−2i000000000000000000000
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
χ22222-122-12-12-1-12222-122-1-1-1-1-1222-1-100-122-1-1-1-1-1-2-2-2-2-1-1-102-2-21111-1-11111000000000000000
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
χ24222-122-12-12-1-122-22-12211-1-1-1222-1-100-1-2-2-11111-2-2-2-2-1-1-10-222111111-1-1-1-1000000000000000
χ25222-122-12-12-1-1-2-222-122-1-1-1-1-1-2-2-21100-122-1-1-1-1-12i2i−2i−2i1110-22i−2i−i−iii11−i−iii000000000000000
χ26222-122-12-12-1-1-2-222-122-1-1-1-1-1-2-2-21100-122-1-1-1-1-1−2i−2i2i2i1110-2−2i2iii−i−i11ii−i−i000000000000000
χ27222-122-12-12-1-1-2-2-22-12211-1-1-1-2-2-21100-1-2-2-111112i2i−2i−2i11102−2i2i−i−iii-1-1ii−i−i000000000000000
χ28222-122-12-12-1-1-2-2-22-12211-1-1-1-2-2-21100-1-2-2-11111−2i−2i2i2i111022i−2iii−i−i-1-1−i−iii000000000000000
χ29222-1-2-2-12-12112202-1-2-23−3-1112-2-2-1-100-100133−3−32-22-2-1110000-11-113−33−33−3000000000000000
χ30222-1-2-2-12-12112202-1-2-23−3-1112-2-2-1-100-100133−3−3-22-22-11100001-11-13−3−33−33000000000000000
χ31222-1-2-2-12-12112202-1-2-2−33-1112-2-2-1-100-1001−3−3332-22-2-1110000-11-11−33−33−33000000000000000
χ32222-1-2-2-12-12112202-1-2-2−33-1112-2-2-1-100-1001−3−333-22-22-11100001-11-1−333−33−3000000000000000
χ33222-1-2-2-12-1211-2-202-1-2-23−3-111-2221100-100133−3−32i−2i−2i2i1-1-10000−iii−i−33i3−i3−i3i3000000000000000
χ34222-1-2-2-12-1211-2-202-1-2-23−3-111-2221100-100133−3−3−2i2i2i−2i1-1-10000i−i−ii−33−i3i3i3−i3000000000000000
χ35222-1-2-2-12-1211-2-202-1-2-2−33-111-2221100-1001−3−3332i−2i−2i2i1-1-10000−iii−i3−3−i3i3i3−i3000000000000000
χ36222-1-2-2-12-1211-2-202-1-2-2−33-111-2221100-1001−3−333−2i2i2i−2i1-1-10000i−i−ii3−3i3−i3−i3i3000000000000000
χ3722-222-222-222-2220-222-2002-2-2-2-222200-200200000000-2-220000000000000000000022-2-200000
χ3822-222-222-222-2220-222-2002-2-2-2-222200-200200000000-2-2200000000000000000000-2-22200000
χ3922-222-222-222-2-2-20-222-2002-2-222-2-2-200-20020000000022-2000000000000000000002i−2i−2i2i00000
χ4022-222-222-222-2-2-20-222-2002-2-222-2-2-200-20020000000022-200000000000000000000−2i2i2i−2i00000
χ4122-22-2222-22-22220-22-2200222-22-2222-2-200-200000000-22-200000000000000200-22-2000000000
χ4222-22-2222-22-22220-22-2200222-22-222-22-200-200000000-22-200000000000000-2002-22000000000
χ4322-22-2222-22-22-2-20-22-22002222-22-2-22-2-200-2000000002-2200000000000000200-2-22000000000
χ4422-22-2222-22-22-2-20-22-22002222-22-2-2-22-200-2000000002-2200000000000000-20022-2000000000
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
χ474444444-14-14400-4-1-1-1-1-4-4-1-1-10000044-111-111110000000-40000000000000-111-100000000000
χ484444444-14-14400-4-1-1-1-1-4-4-1-1-100000-4-4-111-111110000000400000000000001-1-1100000000000
χ4944-44-444-1-4-1-440001-11-100-1-1-1000004-41−551−55−55000000000000000000000-1−55100000000000
χ5044-44-444-1-4-1-440001-11-100-1-1-1000004-415−515−55−5000000000000000000000-15−5100000000000
χ5144-44-444-1-4-1-440001-11-100-1-1-100000-441−551−55−5500000000000000000000015−5-100000000000
χ5244-44-444-1-4-1-440001-11-100-1-1-100000-4415−515−55−50000000000000000000001−55-100000000000
χ5344-4-24-4-2424-22440-4-24-400-222-4-44-2-200200-20000000022-200000000000000000000000000000
χ5444-4-24-4-2424-22-4-40-4-24-400-22244-42200200-200000000-2-2200000000000000000000000000000
χ5544-4-2-44-24242-2440-4-2-4400-2-2-2-44-4-2-2002002000000002-2200000000000000000000000000000
χ5644-4-2-44-24242-2-4-40-4-2-4400-2-2-24-442200200200000000-22-200000000000000000000000000000
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
χ618888-8-88-28-2-8-8000-2-22200-2220000000-20020000000000000000000000000000000000000000
χ62888-488-4-2-4-2-4-4008-21-2-2-4-411100000001-2-211111000000000000000000000000000000000000
χ63888-488-4-2-4-2-4-400-8-21-2-24411100000001221-1-1-1-1000000000000000000000000000000000000
χ64888-4-8-8-4-2-4-244000-212243−431-1-10000000100-1−3−333000000000000000000000000000000000000
χ65888-4-8-8-4-2-4-244000-2122−43431-1-10000000100-133−3−3000000000000000000000000000000000000
χ6688-888-88-2-8-28-80002-2-2200-2220000000200-20000000000000000000000000000000000000000
χ6788-8-48-8-4-24-2-4400021-22001-1-10000000-1001−151515−15000000000000000000000000000000000000
χ6888-8-48-8-4-24-2-4400021-22001-1-10000000-100115−15−1515000000000000000000000000000000000000
χ6988-8-4-88-4-24-24-4000212-2001110000000-1−2525-15−55−5000000000000000000000000000000000000
χ7088-8-4-88-4-24-24-4000212-2001110000000-125−25-1−55−55000000000000000000000000000000000000
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).