Finite Group Databasebeta

← Group #14302623

Character table — Group #14302623

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222244444558888888888101010101012121616161616161616202020202020202430303030404040404040404040404040404848484860606060120120120
order12234465610121244410121215202030303022412122420206060606060604444661284444244661212121212121212102040402444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1
χ311111111111111111111111111111-1-1111111111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111111111-1-1-1-1111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ511111111111111-11-1-11111111111111-1-111-1-1-1-11111111-11111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1
χ611111111111111-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-111
χ711111111111111-11-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111
χ811111111111111-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-11111-1-111-1-1111-1-1
χ9111111111111-1-11111111111-1-1-1-1-11111111111ii−i−i-1-1-11ii−i−i-1i−i-1-1ii−i−iii−i−i1111-1-1i−i-1i−i
χ10111111111111-1-11111111111-1-1-1-1-11111111111−i−iii-1-1-11−i−iii-1−ii-1-1−i−iii−i−iii1111-1-1−ii-1−ii
χ11111111111111-1-11111111111-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1−i−iii-1i−i-1-1ii−i−iii−i−i-1-1-1-111−ii1−ii
χ12111111111111-1-11111111111-1-1-1-1-1-1-111111111−i−iii-1-1-1-1ii−i−i-1−ii-1-1−i−iii−i−iii-1-1-1-111i−i1i−i
χ13111111111111-1-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-1ii−i−i-1-1-1-1ii−i−i1−ii11ii−i−i−i−iii11-1-1-1-1i−i1−ii
χ14111111111111-1-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-1−i−iii-1-1-1-1−i−iii1i−i11−i−iiiii−i−i11-1-1-1-1−ii1i−i
χ15111111111111-1-1-11-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1-11−i−iii1−ii11ii−i−i−i−iii-1-11111−ii-1i−i
χ16111111111111-1-1-11-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1-11ii−i−i1i−i11−i−iiiii−i−i-1-11111i−i-1−ii
χ172222-2-22222-2-22202002-2-2222-2-22220000-2-200002i−2i2i−2i-2-2200000000002i−2i2i−2i000000000000000
χ182222-2-22222-2-22202002-2-2222-2-22220000-2-20000−2i2i−2i2i-2-220000000000−2i2i−2i2i000000000000000
χ192222-2-22222-2-2-2-202002-2-222222-2-2-20000-2-200002-2-2222-200000000002-2-22000000000000000
χ202222-2-22222-2-2-2-202002-2-222222-2-2-20000-2-20000-222-222-20000000000-222-2000000000000000
χ21222-122-12-12-1-12222-1-1-122-1-1-1222-1-10022-1-1-1-1-1-12222-1-1-100000222-1-1-1-1-1-1-1-1-1-100000000000
χ22222-122-12-12-1-12222-1-1-122-1-1-1222-1-10022-1-1-1-1-1-1-2-2-2-2-1-1-1000002-2-2-1-11111111100000000000
χ23222-122-12-12-1-122-2211-122-1-1-1222-1-100-2-2-1-111112222-1-1-100000-2-2-211-1-1-1-1111100000000000
χ24222-122-12-12-1-122-2211-122-1-1-1222-1-100-2-2-1-11111-2-2-2-2-1-1-100000-222111111-1-1-1-100000000000
χ25222-122-12-12-1-1-2-222-1-1-122-1-1-1-2-2-2110022-1-1-1-1-1-12i2i−2i−2i11100000-22i−2i11−i−iii−i−iii00000000000
χ26222-122-12-12-1-1-2-222-1-1-122-1-1-1-2-2-2110022-1-1-1-1-1-1−2i−2i2i2i11100000-2−2i2i11ii−i−iii−i−i00000000000
χ27222-122-12-12-1-1-2-2-2211-122-1-1-1-2-2-21100-2-2-1-111112i2i−2i−2i111000002−2i2i-1-1−i−iiiii−i−i00000000000
χ28222-122-12-12-1-1-2-2-2211-122-1-1-1-2-2-21100-2-2-1-11111−2i−2i2i2i1110000022i−2i-1-1ii−i−i−i−iii00000000000
χ29222-1-2-2-12-12112202−i3i3-1-2-2-1-1-1-2-22-1-1000011−i3−i3i3i32i−2i2i−2i11-100000000−i3i3−ii−ii3−33−300000000000
χ30222-1-2-2-12-12112202−i3i3-1-2-2-1-1-1-2-22-1-1000011−i3−i3i3i3−2i2i−2i2i11-100000000−i3i3i−ii−i−33−3300000000000
χ31222-1-2-2-12-12112202i3−i3-1-2-2-1-1-1-2-22-1-1000011i3i3−i3−i32i−2i2i−2i11-100000000i3−i3−ii−ii−33−3300000000000
χ32222-1-2-2-12-12112202i3−i3-1-2-2-1-1-1-2-22-1-1000011i3i3−i3−i3−2i2i−2i2i11-100000000i3−i3i−ii−i3−33−300000000000
χ33222-1-2-2-12-1211-2-202−i3i3-1-2-2-1-1-122-211000011−i3−i3i3i32-2-22-1-1100000000i3−i3-111-1−i3i3i3−i300000000000
χ34222-1-2-2-12-1211-2-202−i3i3-1-2-2-1-1-122-211000011−i3−i3i3i3-222-2-1-1100000000i3−i31-1-11i3−i3−i3i300000000000
χ35222-1-2-2-12-1211-2-202i3−i3-1-2-2-1-1-122-211000011i3i3−i3−i32-2-22-1-1100000000−i3i3-111-1i3−i3−i3i300000000000
χ36222-1-2-2-12-1211-2-202i3−i3-1-2-2-1-1-122-211000011i3i3−i3−i3-222-2-1-1100000000−i3i31-1-11−i3i3i3−i300000000000
χ3722-222-222-222-2220-20022-2-2-22-22-22200002-2000000002-2-2022220000000000000000000-2-2000
χ3822-222-222-222-2220-20022-2-2-22-22-22200002-2000000002-2-20-2-2-2-2000000000000000000022000
χ3922-222-222-222-2-2-20-20022-2-2-222-22-2-200002-200000000-22202i2i−2i−2i0000000000000000000−2i2i000
χ4022-222-222-222-2-2-20-20022-2-2-222-22-2-200002-200000000-2220−2i−2i2i2i00000000000000000002i−2i000
χ4122-22-2222-22-22220-2002-22-2-222-2-2222-200-2200000000-22-20000000000000000002-200-2200000
χ4222-22-2222-22-22220-2002-22-2-222-2-222-2200-2200000000-22-2000000000000000000-22002-200000
χ4322-22-2222-22-22-2-20-2002-22-2-22-222-2-22-200-22000000002-220000000000000000002-2002-200000
χ4422-22-2222-22-22-2-20-2002-22-2-22-222-2-2-2200-22000000002-22000000000000000000-2200-2200000
χ454444444-14-144004-144-1-1-1-1-1-10000044-1-1-1-1-1-1-1-10000000400000000000000000-1-1-1-10000000
χ464444444-14-144004-144-1-1-1-1-1-100000-4-4-1-1-1-1-1-1-1-10000000-40000000000000000011110000000
χ474444444-14-14400-4-1-4-4-1-1-1-1-1-1000004411-1-111110000000-400000000000000000-1-1110000000
χ484444444-14-14400-4-1-4-4-1-1-1-1-1-100000-4-411-1-11111000000040000000000000000011-1-10000000
χ4944-44-444-1-4-1-44000100-11-111-1000004-4−551-1−55−550000000000000000000000000-11−550000000
χ5044-44-444-1-4-1-44000100-11-111-1000004-45−51-15−55−50000000000000000000000000-115−50000000
χ5144-44-444-1-4-1-44000100-11-111-100000-44−551-1−55−5500000000000000000000000001-15−50000000
χ5244-44-444-1-4-1-44000100-11-111-100000-445−51-15−55−500000000000000000000000001-1−550000000
χ5344-4-24-4-2424-22440-400-24-422-2-44-4-2-20000-2200000000-22200000000000000000000000000000
χ5444-4-24-4-2424-22-4-40-400-24-422-24-44220000-22000000002-2-200000000000000000000000000000
χ5544-4-2-44-24242-2440-400-2-4422-24-4-4-2-200002-2000000002-2200000000000000000000000000000
χ5644-4-2-44-24242-2-4-40-400-2-4422-2-4442200002-200000000-22-200000000000000000000000000000
χ574-40400-440-4004i−4i000040000-40004i−4i0000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000
χ584-40400-440-4004i−4i000040000-40004i−4i000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000
χ594-40400-440-400−4i4i000040000-4000−4i4i0000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000
χ604-40400-440-400−4i4i000040000-4000−4i4i000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000
χ618888-8-88-28-2-8-8000-200-222-2-2-2000000000220000000000000000000000000000000000000000
χ62888-488-4-2-4-2-4-4008-2-4-41-2-21110000000-2-2111111000000000000000000000000000000000000
χ63888-488-4-2-4-2-4-400-8-2441-2-211100000002211-1-1-1-1000000000000000000000000000000000000
χ64888-4-8-8-4-2-4-244000-2−4i34i3122111000000000-1-1i3i3−i3−i3000000000000000000000000000000000000
χ65888-4-8-8-4-2-4-244000-24i3−4i3122111000000000-1-1−i3−i3i3i3000000000000000000000000000000000000
χ6688-888-88-2-8-28-8000200-2-2222-2000000000-220000000000000000000000000000000000000000
χ6788-8-48-8-4-24-2-440002001-22-1-110000000001-1−i15i15i15−i15000000000000000000000000000000000000
χ6888-8-48-8-4-24-2-440002001-22-1-110000000001-1i15−i15−i15i15000000000000000000000000000000000000
χ6988-8-4-88-4-24-24-400020012-2-1-110000000−2525-115−55−5000000000000000000000000000000000000
χ7088-8-4-88-4-24-24-400020012-2-1-11000000025−25-11−55−55000000000000000000000000000000000000
χ718-80-400480-8008i−8i0000-400004000−4i4i0000000000000000000000000000000000000000000000
χ728-80-400480-800−8i8i0000-4000040004i−4i0000000000000000000000000000000000000000000000
χ7316-1601600-16-40400000000-400004000000000000000000000000000000000000000000000000000
χ7416-160-8008-40400000000200−2i152i15-2000000000000000000000000000000000000000000000000000
χ7516-160-8008-404000000002002i15−2i15-2000000000000000000000000000000000000000000000000000

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