Finite Group Databasebeta

← Group #14298422

Character table — Group #14298422

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444448888888888888888888810101010101010101010101012121212202020202020242424242424242440404040404040404040404060606060120120120120
order12222236662256666661010101010101010101010153030303030303030303030303030304444444412121212444412121212121220202020202020208888242424242424242444448888
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
χ91111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-1i−ii−i
χ101111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-1−ii−ii
χ111111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111i−ii−iii−i−iii−i−i-1-111−ii−ii
χ121111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii-1-111i−ii−i
χ131111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11
χ141111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1
χ151111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-111-1
χ161111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-111-1-11-1-11
χ17222222-1-1-1-1222-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1222-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000-1-1-1-1-1-100000000-2-2-2-21111111100000000
χ19222222-1-1-1-1222-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211110000111111000000002i2i−2i−2i−i−i−i−iiiii00000000
χ20222222-1-1-1-1222-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111000011111100000000−2i−2i2i2iiiii−i−i−i−i00000000
χ21222222-1-1-1-1-2-22-1-111112222222-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-211110000-1-1-1-111000000002i−2i2i−2i−i−iii−i−iii00000000
χ22222222-1-1-1-1-2-22-1-111112222222-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-211110000-1-1-1-11100000000−2i2i−2i2iii−i−iii−i−i00000000
χ23222222-1-1-1-1-2-22-1-111112222222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-100001111-1-1000000002-2-22-1-11111-1-100000000
χ24222222-1-1-1-1-2-22-1-111112222222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-100001111-1-100000000-222-211-1-1-1-11100000000
χ252222-2-222222-22-2-222-2-22-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-222-2-222-2-22222000022-2-2-2-20000000000000000000000000000
χ262222-2-222222-22-2-222-2-22-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-20000-2-222220000000000000000000000000000
χ272222-2-22222-222-2-2-2-2222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2000022-2-2220000000000000000000000000000
χ282222-2-22222-222-2-2-2-2222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-22222-2-222220000-2-222-2-20000000000000000000000000000
χ292222-2-2-1-1-1-12-2211-1-1112-2-2-2-22222-2-2-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-10000-1-11111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ302222-2-2-1-1-1-12-2211-1-1112-2-2-2-22222-2-2-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-10000-1-11111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ312222-2-2-1-1-1-12-2211-1-1112-2-2-2-22222-2-2-1-1-1-11111-1-1-1-11111-2-222-2-2221111000011-1-1-1-10000000000003−33−3−33−3300000000
χ322222-2-2-1-1-1-12-2211-1-1112-2-2-2-22222-2-2-1-1-1-11111-1-1-1-11111-2-222-2-2221111000011-1-1-1-1000000000000−33−333−33−300000000
χ332222-2-2-1-1-1-1-2221111-1-12-2-2-2-222-2-222-1-1-1-111111111-1-1-1-122-2-2-2-22211110000-1-111-1-10000000000003−3−333−3−3300000000
χ342222-2-2-1-1-1-1-2221111-1-12-2-2-2-222-2-222-1-1-1-111111111-1-1-1-122-2-2-2-22211110000-1-111-1-1000000000000−333−3−333−300000000
χ352222-2-2-1-1-1-1-2221111-1-12-2-2-2-222-2-222-1-1-1-111111111-1-1-1-1-2-22222-2-2-1-1-1-1000011-1-111000000000000−i3i3i3−i3i3−i3−i3i300000000
χ362222-2-2-1-1-1-1-2221111-1-12-2-2-2-222-2-222-1-1-1-111111111-1-1-1-1-2-22222-2-2-1-1-1-1000011-1-111000000000000i3−i3−i3i3−i3i3i3−i300000000
χ3722-2-22-22-2-220022-20000222-2-2-2-2000022-2-222-2-20000000000002-22-222-2-2002i−2i00002-200002i2i−2i−2i0000000000002i−2i000000
χ3822-2-22-22-2-220022-20000222-2-2-2-2000022-2-222-2-20000000000002-22-222-2-200−2i2i00002-20000−2i−2i2i2i000000000000−2i2i000000
χ3922-2-22-22-2-220022-20000222-2-2-2-2000022-2-222-2-2000000000000-22-22-2-222002i−2i0000-2200002i2i−2i−2i000000000000−2i2i000000
χ4022-2-22-22-2-220022-20000222-2-2-2-2000022-2-222-2-2000000000000-22-22-2-22200−2i2i0000-220000−2i−2i2i2i0000000000002i−2i000000
χ4122-2-2-222-2-22002-2200002-2-222-2-2000022-2-2-2-2220000000000002-2-2222-2-22i−2i000000-222i2i−2i−2i0000000000000000002i−2i0000
χ4222-2-2-222-2-22002-2200002-2-222-2-2000022-2-2-2-2220000000000002-2-2222-2-2−2i2i000000-22−2i−2i2i2i000000000000000000−2i2i0000
χ4322-2-2-222-2-22002-2200002-2-222-2-2000022-2-2-2-222000000000000-222-2-2-2222i−2i0000002-22i2i−2i−2i000000000000000000−2i2i0000
χ4422-2-2-222-2-22002-2200002-2-222-2-2000022-2-2-2-222000000000000-222-2-2-222−2i2i0000002-2−2i−2i2i2i0000000000000000002i−2i0000
χ45444444444444-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000004444000000-1-1-1-1-1-1-1-100000000000000000000
χ46444444444444-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-4-4-4-40000001111111100000000000000000000
χ474444444444-4-4-144-4-4-4-4-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000044-4-4000000-1-1-1-1111100000000000000000000
χ484444444444-4-4-144-4-4-4-4-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000-4-4440000001111-1-1-1-100000000000000000000
χ494444-4-444444-4-1-4-444-4-4-11111-1-1-1-111-1-1-1-11111-1-1-1-111110000000000000000000000−55−55−55−5500000000000000000000
χ504444-4-444444-4-1-4-444-4-4-11111-1-1-1-111-1-1-1-11111-1-1-1-1111100000000000000000000005−55−55−55−500000000000000000000
χ514444-4-44444-44-1-4-4-4-444-11111-1-111-1-1-1-1-1-111111111-1-1-1-10000000000000000000000−55−555−55−500000000000000000000
χ524444-4-44444-44-1-4-4-4-444-11111-1-111-1-1-1-1-1-111111111-1-1-1-100000000000000000000005−55−5−55−5500000000000000000000
χ5344-4-44-44-4-4400-14-40000-1-1-11111−55−55-1-111-1-111−5−555−5−555000000000000004i−4i000000−i5i5i5−i5−i−iii00000000000000000000
χ5444-4-44-44-4-4400-14-40000-1-1-11111−55−55-1-111-1-111−5−555−5−55500000000000000−4i4i000000i5−i5−i5i5ii−i−i00000000000000000000
χ5544-4-44-44-4-4400-14-40000-1-1-111115−55−5-1-111-1-11155−5−555−5−5000000000000004i−4i000000i5−i5−i5i5−i−iii00000000000000000000
χ5644-4-44-44-4-4400-14-40000-1-1-111115−55−5-1-111-1-11155−5−555−5−500000000000000−4i4i000000−i5i5i5−i5ii−i−i00000000000000000000
χ5744-4-44-4-222-2004-220000444-4-4-4-40000-2-222-2-2220000000000004-44-4-2-22200000000-220000000000000000000000000000
χ5844-4-44-4-222-2004-220000444-4-4-4-40000-2-222-2-222000000000000-44-4422-2-2000000002-20000000000000000000000000000
χ5944-4-4-444-4-4400-1-440000-111-1-111−555−5-1-11111-1-1−5−55555−5−50000000000004i−4i00000000−i−iii−i5i5i5−i500000000000000000000
χ6044-4-4-444-4-4400-1-440000-111-1-111−555−5-1-11111-1-1−5−55555−5−5000000000000−4i4i00000000ii−i−ii5−i5−i5i500000000000000000000
χ6144-4-4-444-4-4400-1-440000-111-1-1115−5−55-1-11111-1-155−5−5−5−5550000000000004i−4i00000000−i−iiii5−i5−i5i500000000000000000000
χ6244-4-4-444-4-4400-1-440000-111-1-1115−5−55-1-11111-1-155−5−5−5−555000000000000−4i4i00000000ii−i−i−i5i5i5−i500000000000000000000
χ6344-4-4-44-222-20042-200004-4-444-4-40000-2-22222-2-20000000000004-4-44-2-222000000002-20000000000000000000000000000
χ6444-4-4-44-222-20042-200004-4-444-4-40000-2-22222-2-2000000000000-444-422-2-200000000-220000000000000000000000000000
χ654-44-40044-4-4004000000-400004-400004-44-4000000000000004i−4i000000000000004i−4i000000000000000000000000000000
χ664-44-40044-4-4004000000-400004-400004-44-400000000000000−4i4i00000000000000−4i4i000000000000000000000000000000
χ674-44-400-2-2220040000−2i32i3-400004-40000-22-2200000000−2i32i3−2i32i3004i−4i000023−2323−23000000−2i2i000000000000000000000000000000
χ684-44-400-2-2220040000−2i32i3-400004-40000-22-2200000000−2i32i3−2i32i300−4i4i0000−2323−23230000002i−2i000000000000000000000000000000
χ694-44-400-2-22200400002i3−2i3-400004-40000-22-22000000002i3−2i32i3−2i3004i−4i0000−2323−2323000000−2i2i000000000000000000000000000000
χ704-44-400-2-22200400002i3−2i3-400004-40000-22-22000000002i3−2i32i3−2i300−4i4i000023−2323−230000002i−2i000000000000000000000000000000
χ714-4-44004-44-4004000000-40000-4400004-4-440000000000004i−4i000000000000004i−4i00000000000000000000000000000000
χ724-4-44004-44-4004000000-40000-4400004-4-44000000000000−4i4i00000000000000−4i4i00000000000000000000000000000000
χ734-4-4400-22-2200400−2i32i300-40000-440000-222-20000−2i32i3−2i32i300004i−4i00000023−23−23230000−2i2i00000000000000000000000000000000
χ744-4-4400-22-2200400−2i32i300-40000-440000-222-20000−2i32i3−2i32i30000−4i4i000000−232323−2300002i−2i00000000000000000000000000000000
χ754-4-4400-22-22004002i3−2i300-40000-440000-222-200002i3−2i32i3−2i300004i−4i000000−232323−230000−2i2i00000000000000000000000000000000
χ764-4-4400-22-22004002i3−2i300-40000-440000-222-200002i3−2i32i3−2i30000−4i4i00000023−23−232300002i−2i00000000000000000000000000000000
χ77888888-4-4-4-488-2-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000000000000000000000
χ78888888-4-4-4-4-8-8-2-4-44444-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000
χ798888-8-8-4-4-4-48-8-244-4-444-22222-2-2-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000000000
χ808888-8-8-4-4-4-4-88-24444-4-4-22222-2-222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000000000
χ8188-8-88-8-444-400-2-440000-2-2-22222−2525−252511-1-111-1-155−5−555−5−500000000000000000000000000000000000000000000000000
χ8288-8-88-8-444-400-2-440000-2-2-2222225−2525−2511-1-111-1-1−5−555−5−55500000000000000000000000000000000000000000000000000
χ8388-8-8-88-444-400-24-40000-222-2-222−252525−2511-1-1-1-11155−5−5−5−55500000000000000000000000000000000000000000000000000
χ8488-8-8-88-444-400-24-40000-222-2-22225−25−252511-1-1-1-111−5−55555−5−500000000000000000000000000000000000000000000000000
χ858-88-80088-8-800-20000002−2525−2525-220000-22-22−2525−25250000000000000000000000000000000000000000000000000000000000
χ868-88-80088-8-800-2000000225−2525−25-220000-22-2225−2525−250000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-44400-20000−4i34i32−2525−2525-2200001-11-15−55−5−i15i15i15−i15i3−i3i3−i300000000000000000000000000000000000000000000000000
χ888-88-800-4-44400-20000−4i34i3225−2525−25-2200001-11-1−55−55i15−i15−i15i15i3−i3i3−i300000000000000000000000000000000000000000000000000
χ898-88-800-4-44400-200004i3−4i32−2525−2525-2200001-11-15−55−5i15−i15−i15i15−i3i3−i3i300000000000000000000000000000000000000000000000000
χ908-88-800-4-44400-200004i3−4i3225−2525−25-2200001-11-1−55−55−i15i15i15−i15−i3i3−i3i300000000000000000000000000000000000000000000000000
χ918-8-88008-88-800-20000002−252525−252-20000-222-2−252525−250000000000000000000000000000000000000000000000000000000000
χ928-8-88008-88-800-2000000225−25−25252-20000-222-225−25−25250000000000000000000000000000000000000000000000000000000000
χ938-8-8800-44-4400-200−4i34i3002−252525−252-200001-1-115−5−55i3−i3i3−i3−i15i15i15−i1500000000000000000000000000000000000000000000000000
χ948-8-8800-44-4400-200−4i34i300225−25−25252-200001-1-11−555−5i3−i3i3−i3i15−i15−i15i1500000000000000000000000000000000000000000000000000
χ958-8-8800-44-4400-2004i3−4i3002−252525−252-200001-1-115−5−55−i3i3−i3i3i15−i15−i15i1500000000000000000000000000000000000000000000000000
χ968-8-8800-44-4400-2004i3−4i300225−25−25252-200001-1-11−555−5−i3i3−i3i3−i15i15i15−i1500000000000000000000000000000000000000000000000000

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