Finite Group Databasebeta

← Group #14281013

Character table — Group #14281013

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444448888888888888888888810101010101010101010101012121212202020202020242424242424242440404040404040404040404060606060120120120120
order12222236664456610101010101010121212121520202020303030303030306060606060606060222244441212121244446666121220202020202020208888242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ91111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-1i−ii−i
χ101111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-1−ii−ii
χ111111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111i−ii−iii−i−iii−i−i-1-111−ii−ii
χ121111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii-1-111i−ii−i
χ131111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11
χ141111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1
χ151111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-111-1
χ161111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-111-1-11-1-11
χ17222222-1-1-1-1222-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1222-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-1-1-1-1-1-100000000-2-2-2-21111111100000000
χ19222222-1-1-1-1222-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211110000111111000000002i2i−2i−2i−i−i−i−iiiii00000000
χ20222222-1-1-1-1222-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111000011111100000000−2i−2i2i2iiiii−i−i−i−i00000000
χ21222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-211110000-1-1-1-111000000002i−2i2i−2i−i−iii−i−iii00000000
χ22222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-211110000-1-1-1-11100000000−2i2i−2i2iii−i−iii−i−i00000000
χ23222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-100001111-1-1000000002-2-22-1-11111-1-100000000
χ24222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-100001111-1-100000000-222-211-1-1-1-11100000000
χ252222-2-222222-22-2-22-2-2-2-22222-2-2222-2-222-2-2-2-222222-2-2-2-222-2-222-2-22222000022-2-2-2-20000000000000000000000000000
χ262222-2-222222-22-2-22-2-2-2-22222-2-2222-2-222-2-2-2-222222-2-2-2-2-2-222-2-222-2-2-2-20000-2-222220000000000000000000000000000
χ272222-2-22222-222-2-22-2-2-2-222-2-2222-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-222-2-2-2-2000022-2-2220000000000000000000000000000
χ282222-2-22222-222-2-22-2-2-2-222-2-2222-2-22222-2-2-2-22-2-2-2-22222-2-22222-2-222220000-2-222-2-20000000000000000000000000000
χ292222-2-2-1-1-1-12-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-222-2-2-1-1-1-10000-1-11111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ302222-2-2-1-1-1-12-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-222-2-2-1-1-1-10000-1-11111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ312222-2-2-1-1-1-12-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222-2-2221111000011-1-1-1-10000000000003−33−3−33−3300000000
χ322222-2-2-1-1-1-12-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222-2-2221111000011-1-1-1-1000000000000−33−333−33−300000000
χ332222-2-2-1-1-1-1-222112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-2-2-22211110000-1-111-1-10000000000003−3−333−3−3300000000
χ342222-2-2-1-1-1-1-222112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-2-2-22211110000-1-111-1-1000000000000−333−3−333−300000000
χ352222-2-2-1-1-1-1-222112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-22222-2-2-1-1-1-1000011-1-111000000000000−i3i3i3−i3i3−i3−i3i300000000
χ362222-2-2-1-1-1-1-222112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-22222-2-2-1-1-1-1000011-1-111000000000000i3−i3−i3i3−i3i3i3−i300000000
χ372-22-22-222-2-20022-2-222-2-22-20000200002-222-2-2-20000000000002i−2i2i−2i2i2i−2i−2i002i−2i00002i−2i00002i2i−2i−2i0000000000002-2000000
χ382-22-22-222-2-20022-2-222-2-22-20000200002-222-2-2-20000000000002i−2i2i−2i2i2i−2i−2i00−2i2i00002i−2i0000−2i−2i2i2i000000000000-22000000
χ392-22-22-222-2-20022-2-222-2-22-20000200002-222-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i002i−2i0000−2i2i00002i2i−2i−2i000000000000-22000000
χ402-22-22-222-2-20022-2-222-2-22-20000200002-222-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i00−2i2i0000−2i2i0000−2i−2i2i2i0000000000002-2000000
χ412-22-2-2222-2-2002-22-2-2-2222-20000200002-2-2-222-20000000000002i−2i−2i2i2i2i−2i−2i2-2000000−2i2i22-2-20000000000000000002i−2i0000
χ422-22-2-2222-2-2002-22-2-2-2222-20000200002-2-2-222-20000000000002i−2i−2i2i2i2i−2i−2i-22000000−2i2i-2-222000000000000000000−2i2i0000
χ432-22-2-2222-2-2002-22-2-2-2222-20000200002-2-2-222-2000000000000−2i2i2i−2i−2i−2i2i2i2-20000002i−2i22-2-2000000000000000000−2i2i0000
χ442-22-2-2222-2-2002-22-2-2-2222-20000200002-2-2-222-2000000000000−2i2i2i−2i−2i−2i2i2i-220000002i−2i-2-2220000000000000000002i−2i0000
χ45444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000004444000000-1-1-1-1-1-1-1-100000000000000000000
χ46444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-4-4-4-40000001111111100000000000000000000
χ474444444444-4-4-144-1-1-1-1-1-1-1-4-4-4-4-11111-1-1-1-1-1-1-11111111100000000000044-4-4000000-1-1-1-1111100000000000000000000
χ484444444444-4-4-144-1-1-1-1-1-1-1-4-4-4-4-11111-1-1-1-1-1-1-111111111000000000000-4-4440000001111-1-1-1-100000000000000000000
χ494444-4-444444-4-1-4-4-11111-1-144-4-4-1-1-111-1-11111-1-1-1-1-111110000000000000000000000−55−55−55−5500000000000000000000
χ504444-4-444444-4-1-4-4-11111-1-144-4-4-1-1-111-1-11111-1-1-1-1-1111100000000000000000000005−55−55−55−500000000000000000000
χ514444-4-44444-44-1-4-4-11111-1-1-4-444-111-1-1-1-11111-11111-1-1-1-10000000000000000000000−55−555−55−500000000000000000000
χ524444-4-44444-44-1-4-4-11111-1-1-4-444-111-1-1-1-11111-11111-1-1-1-100000000000000000000005−55−5−55−5500000000000000000000
χ5344-4-4004-44-40040040000-4-4000040000-440000-400000000004-4000000000000004-4000000000000000000000000000000
χ5444-4-4004-44-40040040000-4-4000040000-440000-40000000000-4400000000000000-44000000000000000000000000000000
χ5544-4-400-22-220040040000-4-40023−23-200002-20000200002323−23−23004-4000023−2323−23000000-22000000000000000000000000000000
χ5644-4-400-22-220040040000-4-40023−23-200002-20000200002323−23−2300-440000−2323−23230000002-2000000000000000000000000000000
χ5744-4-400-22-220040040000-4-400−2323-200002-2000020000−23−232323004-40000−2323−2323000000-22000000000000000000000000000000
χ5844-4-400-22-220040040000-4-400−2323-200002-2000020000−23−23232300-44000023−2323−230000002-2000000000000000000000000000000
χ594-44-44-444-4-400-14-41-1-111-110000-1−i5i5−i5i5-11-1-1111−i5−i5i5i5−i5i5−i5i5000000000000004i−4i000000−555−5−i−iii00000000000000000000
χ604-44-44-444-4-400-14-41-1-111-110000-1−i5i5−i5i5-11-1-1111−i5−i5i5i5−i5i5−i5i500000000000000−4i4i0000005−5−55ii−i−i00000000000000000000
χ614-44-44-444-4-400-14-41-1-111-110000-1i5−i5i5−i5-11-1-1111i5i5−i5−i5i5−i5i5−i5000000000000004i−4i0000005−5−55−i−iii00000000000000000000
χ624-44-44-444-4-400-14-41-1-111-110000-1i5−i5i5−i5-11-1-1111i5i5−i5−i5i5−i5i5−i500000000000000−4i4i000000−555−5ii−i−i00000000000000000000
χ634-44-44-4-2-222004-22-444-4-44-40000-20000-22-2-22220000000000004i−4i4i−4i−2i−2i2i2i00000000−2i2i0000000000000000000000000000
χ644-44-44-4-2-222004-22-444-4-44-40000-20000-22-2-2222000000000000−4i4i−4i4i2i2i−2i−2i000000002i−2i0000000000000000000000000000
χ654-44-4-4444-4-400-1-44111-1-1-110000-1−i5i5i5−i5-1111-1-11−i5−i5i5i5i5−i5i5−i50000000000004-400000000-1-111−i5i5i5−i500000000000000000000
χ664-44-4-4444-4-400-1-44111-1-1-110000-1−i5i5i5−i5-1111-1-11−i5−i5i5i5i5−i5i5−i5000000000000-440000000011-1-1i5−i5−i5i500000000000000000000
χ674-44-4-4444-4-400-1-44111-1-1-110000-1i5−i5−i5i5-1111-1-11i5i5−i5−i5−i5i5−i5i50000000000004-400000000-1-111i5−i5−i5i500000000000000000000
χ684-44-4-4444-4-400-1-44111-1-1-110000-1i5−i5−i5i5-1111-1-11i5i5−i5−i5−i5i5−i5i5000000000000-440000000011-1-1−i5i5i5−i500000000000000000000
χ694-44-4-44-2-2220042-2-4-4-4444-40000-20000-2222-2-220000000000004i−4i−4i4i−2i−2i2i2i000000002i−2i0000000000000000000000000000
χ704-44-4-44-2-2220042-2-4-4-4444-40000-20000-2222-2-22000000000000−4i4i4i−4i2i2i−2i−2i00000000−2i2i0000000000000000000000000000
χ714-4-44004-4-4400400-40000-44000040000-4-400004000000004-4000000000000004-400000000000000000000000000000000
χ724-4-44004-4-4400400-40000-44000040000-4-40000400000000-4400000000000000-4400000000000000000000000000000000
χ734-4-4400-222-200400-40000-44−2i32i300-20000220000-2−2i32i3−2i32i300004-4000000−2i32i32i3−2i30000-2200000000000000000000000000000000
χ744-4-4400-222-200400-40000-44−2i32i300-20000220000-2−2i32i3−2i32i30000-440000002i3−2i3−2i32i300002-200000000000000000000000000000000
χ754-4-4400-222-200400-40000-442i3−2i300-20000220000-22i3−2i32i3−2i300004-40000002i3−2i3−2i32i30000-2200000000000000000000000000000000
χ764-4-4400-222-200400-40000-442i3−2i300-20000220000-22i3−2i32i3−2i30000-44000000−2i32i32i3−2i300002-200000000000000000000000000000000
χ77888888-4-4-4-488-2-4-4-2-2-2-2-2-2-2-4-4-4-41-2-2-2-211111111111111100000000000000000000000000000000000000000000000000
χ78888888-4-4-4-4-8-8-2-4-4-2-2-2-2-2-2-24444122221111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000
χ798888-8-8-4-4-4-48-8-244-22222-2-2-4-4441-2-22211-1-1-1-111111-1-1-1-100000000000000000000000000000000000000000000000000
χ808888-8-8-4-4-4-4-88-244-22222-2-244-4-4122-2-211-1-1-1-11-1-1-1-1111100000000000000000000000000000000000000000000000000
χ8188-8-8008-88-800-200-2−2525−2525220000-200002-2−2525−252520000000000000000000000000000000000000000000000000000000000
χ8288-8-8008-88-800-200-225−2525−25220000-200002-225−2525−2520000000000000000000000000000000000000000000000000000000000
χ8388-8-800-44-4400-200-2−2525−2525220043−4310000-115−55−5-1−151515−15−3−33300000000000000000000000000000000000000000000000000
χ8488-8-800-44-4400-200-2−2525−25252200−434310000-115−55−5-115−15−151533−3−300000000000000000000000000000000000000000000000000
χ8588-8-800-44-4400-200-225−2525−25220043−4310000-11−55−55-115−15−1515−3−33300000000000000000000000000000000000000000000000000
χ8688-8-800-44-4400-200-225−2525−252200−434310000-11−55−55-1−151515−1533−3−300000000000000000000000000000000000000000000000000
χ878-88-88-8-4-44400-2-442-2-222-2200001−2i52i5−2i52i51-111-1-1-1i5i5−i5−i5i5−i5i5−i500000000000000000000000000000000000000000000000000
χ888-88-88-8-4-44400-2-442-2-222-22000012i5−2i52i5−2i51-111-1-1-1−i5−i5i5i5−i5i5−i5i500000000000000000000000000000000000000000000000000
χ898-88-8-88-4-44400-24-4222-2-2-2200001−2i52i52i5−2i51-1-1-111-1i5i5−i5−i5−i5i5−i5i500000000000000000000000000000000000000000000000000
χ908-88-8-88-4-44400-24-4222-2-2-22000012i5−2i5−2i52i51-1-1-111-1−i5−i5i5i5i5−i5i5−i500000000000000000000000000000000000000000000000000
χ918-8-88008-8-8800-2002−252525−252-20000-2000022−252525−25-20000000000000000000000000000000000000000000000000000000000
χ928-8-88008-8-8800-200225−25−25252-20000-200002225−25−2525-20000000000000000000000000000000000000000000000000000000000
χ938-8-8800-444-400-2002−252525−252-2−4i34i30010000-1-15−5−551i3−i3i3−i3i15−i15−i15i1500000000000000000000000000000000000000000000000000
χ948-8-8800-444-400-2002−252525−252-24i3−4i30010000-1-15−5−551−i3i3−i3i3−i15i15i15−i1500000000000000000000000000000000000000000000000000
χ958-8-8800-444-400-200225−25−25252-2−4i34i30010000-1-1−555−51i3−i3i3−i3−i15i15i15−i1500000000000000000000000000000000000000000000000000
χ968-8-8800-444-400-200225−25−25252-24i3−4i30010000-1-1−555−51−i3i3−i3i3i15−i15−i15i1500000000000000000000000000000000000000000000000000

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