Finite Group Databasebeta

← Group #14303023

Character table — Group #14303023

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222444444444444488888810101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202424242424244848120120120120120120
order1222236245666661010101212101015303030222266102030303030606024444444446666612121212121212121212121212121212121224101010102020444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1ii−i−i
χ611111111111111111111111111-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111−i−iii
χ711111111111111111111111111-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1−i−iii
χ811111111111111111111111111-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111ii−i−i
χ91111111-1-11111-1-1111-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-11-11-11-1
χ101111111-1-11111-1-1111-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111-11-11-11
χ111111111-1-11111-1-1111-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11111-1-11-1-11-11
χ121111111-1-11111-1-1111-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-111-111-11-1
χ131111111-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-11i−i−ii
χ141111111-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-1-1-1111-1−iii−i
χ151111111-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-11−iii−i
χ161111111-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1-1111-1i−i−ii
χ1722222-1-1222-1-1-1-1-1222-1-122-1-1-1-12222-1-122-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222-1-1222-1-1-1-1-1222-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111111111111100000000000000
χ1922222-1-1222-1-1-1-1-1222-1-122-1-1-1-1-2-2-2-21122-1-1-1-1-1-1-2-22i2i2i2i−2i−2i−2i−2i1111111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ2022222-1-1222-1-1-1-1-1222-1-122-1-1-1-1-2-2-2-21122-1-1-1-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i1111111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ2122222-1-1-2-22-1-1-1112221122-1-1-1-12222-1-1-2-2-1-11111-2-222-2-222-2-2-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000
χ2222222-1-1-2-22-1-1-1112221122-1-1-1-12222-1-1-2-2-1-11111-2-2-2-222-2-222-1-1-111111111-1-1-1-11111-1-1-1-100000000000000
χ2322222-1-1-2-22-1-1-1112221122-1-1-1-1-2-2-2-211-2-2-1-11111222i2i−2i−2i−2i−2i2i2i111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ2422222-1-1-2-22-1-1-1112221122-1-1-1-1-2-2-2-211-2-2-1-1111122−2i−2i2i2i2i2i−2i−2i111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ25222-2-2220022-2-2002-2-2002-22-2-222-22-2-2-2002-2000000002i−2i002i−2i22-2000000002i2i−2i−2i00002i2i−2i−2i00000000000000
χ26222-2-2220022-2-2002-2-2002-22-2-222-22-2-2-2002-200000000−2i2i00−2i2i22-200000000−2i−2i2i2i0000−2i−2i2i2i00000000000000
χ27222-2-2220022-2-2002-2-2002-22-2-22-22-2222002-2000000002-200-22-2-220000000022-2-20000-2-22200000000000000
χ28222-2-2220022-2-2002-2-2002-22-2-22-22-2222002-200000000-22002-2-2-2200000000-2-222000022-2-200000000000000
χ29222-2-2-1-1002-111−i3i32-2-2−i3i32-2-111-12-22-21100-11−i3i3−i3i300002i−2i002i−2i-1-11−i3i3−i3i333−3−3−i−iii33−3−3−i−iii00000000000000
χ30222-2-2-1-1002-111−i3i32-2-2−i3i32-2-111-12-22-21100-11−i3i3−i3i30000−2i2i00−2i2i-1-11−i3i3−i3i3−3−333ii−i−i−3−333ii−i−i00000000000000
χ31222-2-2-1-1002-111−i3i32-2-2−i3i32-2-111-1-22-22-1-100-11−i3i3−i3i300002-200-2211-1i3−i3i3−i3−i3−i3i3i3-1-111i3i3−i3−i311-1-100000000000000
χ32222-2-2-1-1002-111−i3i32-2-2−i3i32-2-111-1-22-22-1-100-11−i3i3−i3i30000-22002-211-1i3−i3i3−i3i3i3−i3−i311-1-1−i3−i3i3i3-1-11100000000000000
χ33222-2-2-1-1002-111i3−i32-2-2i3−i32-2-111-12-22-21100-11i3−i3i3−i300002i−2i002i−2i-1-11i3−i3i3−i3−3−333−i−iii−3−333−i−iii00000000000000
χ34222-2-2-1-1002-111i3−i32-2-2i3−i32-2-111-12-22-21100-11i3−i3i3−i30000−2i2i00−2i2i-1-11i3−i3i3−i333−3−3ii−i−i33−3−3ii−i−i00000000000000
χ35222-2-2-1-1002-111i3−i32-2-2i3−i32-2-111-1-22-22-1-100-11i3−i3i3−i300002-200-2211-1−i3i3−i3i3i3i3−i3−i3-1-111−i3−i3i3i311-1-100000000000000
χ36222-2-2-1-1002-111i3−i32-2-2i3−i32-2-111-1-22-22-1-100-11i3−i3i3−i30000-22002-211-1−i3i3−i3i3−i3−i3i3i311-1-1i3i3−i3−i3-1-11100000000000000
χ3722-22-222002-22-2002-2-200-222-2-222-2-22-2-200-220000002i−2i002i−2i002-2200002i−2i2i−2i00002i−2i2i−2i000000000000000000
χ3822-22-222002-22-2002-2-200-222-2-222-2-22-2-200-22000000−2i2i00−2i2i002-220000−2i2i−2i2i0000−2i2i−2i2i000000000000000000
χ3922-22-222002-22-2002-2-200-222-2-22-222-22200-220000002-200-2200-22-200002-22-20000-22-22000000000000000000
χ4022-22-222002-22-2002-2-200-222-2-22-222-22200-22000000-22002-200-22-20000-22-2200002-22-2000000000000000000
χ4122-22-2-1-10021-11−i3i32-2-2i3−i3-22-111-12-2-2211001-1−i3i3i3−i3002i−2i002i−2i00-11-1−i3i3i3−i3−ii−ii3−33−3−ii−ii3−33−300000000000000
χ4222-22-2-1-10021-11−i3i32-2-2i3−i3-22-111-12-2-2211001-1−i3i3i3−i300−2i2i00−2i2i00-11-1−i3i3i3−i3i−ii−i−33−33i−ii−i−33−3300000000000000
χ4322-22-2-1-10021-11−i3i32-2-2i3−i3-22-111-1-222-2-1-1001-1−i3i3i3−i3002-200-22001-11i3−i3−i3i3-11-11−i3i3−i3i31-11-1i3−i3i3−i300000000000000
χ4422-22-2-1-10021-11−i3i32-2-2i3−i3-22-111-1-222-2-1-1001-1−i3i3i3−i300-22002-2001-11i3−i3−i3i31-11-1i3−i3i3−i3-11-11−i3i3−i3i300000000000000
χ4522-22-2-1-10021-11i3−i32-2-2−i3i3-22-111-12-2-2211001-1i3−i3−i3i3002i−2i002i−2i00-11-1i3−i3−i3i3−ii−ii−33−33−ii−ii−33−3300000000000000
χ4622-22-2-1-10021-11i3−i32-2-2−i3i3-22-111-12-2-2211001-1i3−i3−i3i300−2i2i00−2i2i00-11-1i3−i3−i3i3i−ii−i3−33−3i−ii−i3−33−300000000000000
χ4722-22-2-1-10021-11i3−i32-2-2−i3i3-22-111-1-222-2-1-1001-1i3−i3−i3i3002-200-22001-11−i3i3i3−i3-11-11i3−i3i3−i31-11-1−i3i3−i3i300000000000000
χ4822-22-2-1-10021-11i3−i32-2-2−i3i3-22-111-1-222-2-1-1001-1i3−i3−i3i300-22002-2001-11−i3i3i3−i31-11-1−i3i3−i3i3-11-11i3−i3i3−i300000000000000
χ4922-2-22222-22-2-2222222-2-2-2-2222222-2-2222-2-2-222-2-22-2000000002-2-222-2-2000000000000000000000000000000
χ5022-2-22222-22-2-2222222-2-2-2-22222-2-222-2-22-2-2-222-2-2-2200000000-222-2-222000000000000000000000000000000
χ5122-2-2222-222-2-22-2-222222-2-2222222-2-222-22-2-2-2-222-22000000002-2-2-2-222000000000000000000000000000000
χ5222-2-2222-222-2-22-2-222222-2-22222-2-222-2-2-22-2-2-2-2222-200000000-22222-2-2000000000000000000000000000000
χ5322-2-22-1-12-2211-1-1-122211-2-2-1-1-1-122-2-2-1-12-211-1-1112-200000000-111-1-111−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000
χ5422-2-22-1-12-2211-1-1-122211-2-2-1-1-1-122-2-2-1-12-211-1-1112-200000000-111-1-111i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000
χ5522-2-22-1-12-2211-1-1-122211-2-2-1-1-1-1-2-222112-211-1-111-22000000001-1-111-1-13−3−333−3−33−333−3−333−300000000000000
χ5622-2-22-1-12-2211-1-1-122211-2-2-1-1-1-1-2-222112-211-1-111-22000000001-1-111-1-1−333−3−333−33−3−333−3−3300000000000000
χ5722-2-22-1-1-22211-111222-1-1-2-2-1-1-1-122-2-2-1-1-221111-1-1-2200000000-11111-1-1−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000
χ5822-2-22-1-1-22211-111222-1-1-2-2-1-1-1-122-2-2-1-1-221111-1-1-2200000000-11111-1-1i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000
χ5922-2-22-1-1-22211-111222-1-1-2-2-1-1-1-1-2-22211-221111-1-12-2000000001-1-1-1-1113−3−33−333−3−333−33−3−3300000000000000
χ6022-2-22-1-1-22211-111222-1-1-2-2-1-1-1-1-2-22211-221111-1-12-2000000001-1-1-1-111−333−33−3−333−3−33−333−300000000000000
χ61444444444-144444-1-1-144-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000000000000000000000000000044-1-1-1-1-1-1000000
χ62444444444-144444-1-1-144-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1000000000000000000000000000000000-4-4111111000000
χ634444444-4-4-1444-4-4-1-1-1-4-4-1-1-1-1-1-100000011-1-111110000000000000000000000000000000004-4-1-1-1-111000000
χ644444444-4-4-1444-4-4-1-1-1-4-4-1-1-1-1-1-100000011-1-11111000000000000000000000000000000000-441111-1-1000000
χ6544-4-44444-4-1-4-4444-1-1-1-4-411-1-1-1-1000000-1111-1-11100000000000000000000000000000000000−5−555−55000000
χ6644-4-44444-4-1-4-4444-1-1-1-4-411-1-1-1-1000000-1111-1-1110000000000000000000000000000000000055−5−55−5000000
χ6744-4-4444-44-1-4-44-4-4-1-1-14411-1-1-1-10000001-11111-1-100000000000000000000000000000000000−5−5555−5000000
χ6844-4-4444-44-1-4-44-4-4-1-1-14411-1-1-1-10000001-11111-1-10000000000000000000000000000000000055−5−5−55000000
χ6988888-4-488-2-4-4-4-4-4-2-2-2-4-4-2-21111000000-2-211111100000000000000000000000000000000000000000000000
χ7088888-4-4-8-8-2-4-4-444-2-2-244-2-211110000002211-1-1-1-100000000000000000000000000000000000000000000000
χ71888-8-88800-28-8-800-22200-22-222-200000000-22000000000000000000000000000000000000000000000000000
χ72888-8-8-4-400-2-444−4i34i3-222−4i34i3-221-1-11000000001-1i3−i3i3−i300000000000000000000000000000000000000000000000
χ73888-8-8-4-400-2-4444i3−4i3-2224i3−4i3-221-1-11000000001-1−i3i3−i3i300000000000000000000000000000000000000000000000
χ7488-88-88800-2-88-800-222002-2-222-2000000002-2000000000000000000000000000000000000000000000000000
χ7588-88-8-4-400-24-44−4i34i3-2224i3−4i32-21-1-1100000000-11i3−i3−i3i300000000000000000000000000000000000000000000000
χ7688-88-8-4-400-24-444i3−4i3-222−4i34i32-21-1-1100000000-11−i3i3i3−i300000000000000000000000000000000000000000000000
χ7788-8-88-4-48-8-244-4-4-4-2-2-244221111000000-22-1-111-1-100000000000000000000000000000000000000000000000
χ7888-8-88-4-4-88-244-444-2-2-2-4-42211110000002-2-1-1-1-11100000000000000000000000000000000000000000000000
χ798-80008-800800000-8000000800-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-800-2000002−25250000-2−252520000000000000000000000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000
χ818-80008-800-2000002−25250000-2−2525200000000000000000000000000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000
χ828-80008-800-200000225−250000-225−25200000000000000000000000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000
χ838-80008-800-200000225−250000-225−2520000000000000000000000000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000
χ848-8000-4400800000-8000000-40040000−4i34i30000000000000000000000000000000000000000000000000000000
χ858-8000-4400800000-8000000-400400004i3−4i30000000000000000000000000000000000000000000000000000000
χ8616-16000-8800-4000004−45450000225−25-20000000000000000000000000000000000000000000000000000000000000
χ8716-16000-8800-400000445−4500002−2525-20000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.