Finite Group Databasebeta

← Group #14296975

Character table — Group #14296975

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444448888888888888888888810101010101010101010101012121212202020202020242424242424242440404040404040404040404060606060120120120120
order12222236662256666661010101010101010101010153030303030303030303030303030304444444412121212224412121212121210101010202020208888242424242424242422448888
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−i-1-111i−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−iii-1-111−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−i11-1-1−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−iii11-1-1i−ii−i
χ131111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-11111-1-11-1-11
χ141111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-1-111-1
χ151111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-111-111-1
χ161111111111-1-1111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1-1-1111-1-11
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
χ252222-2-222222-22-2-222-2-222-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-222-2-222-2-22222000022-2-2-2-20000000000000000000000000000
χ262222-2-222222-22-2-222-2-222-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-20000-2-222220000000000000000000000000000
χ272222-2-22222-222-2-2-2-22222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2000022-2-2220000000000000000000000000000
χ282222-2-22222-222-2-2-2-22222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-22222-2-22222-2-222220000-2-222-2-20000000000000000000000000000
χ292222-2-2-1-1-1-12-2211-1-11122-2-2-2-2222-2-2-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-10000-1-11111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ302222-2-2-1-1-1-12-2211-1-11122-2-2-2-2222-2-2-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-10000-1-11111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ312222-2-2-1-1-1-12-2211-1-11122-2-2-2-2222-2-2-1-1-1-11111-1-1-1-11111-2-222-2-2221111000011-1-1-1-10000000000003−33−3−33−3300000000
χ322222-2-2-1-1-1-12-2211-1-11122-2-2-2-2222-2-2-1-1-1-11111-1-1-1-11111-2-222-2-2221111000011-1-1-1-1000000000000−33−333−33−300000000
χ332222-2-2-1-1-1-1-2221111-1-122-2-2-2-22-2-222-1-1-1-111111111-1-1-1-122-2-2-2-22211110000-1-111-1-10000000000003−3−333−3−3300000000
χ342222-2-2-1-1-1-1-2221111-1-122-2-2-2-22-2-222-1-1-1-111111111-1-1-1-122-2-2-2-22211110000-1-111-1-1000000000000−333−3−333−300000000
χ352222-2-2-1-1-1-1-2221111-1-122-2-2-2-22-2-222-1-1-1-111111111-1-1-1-1-2-22222-2-2-1-1-1-1000011-1-111000000000000−i3i3i3−i3i3−i3−i3i300000000
χ362222-2-2-1-1-1-1-2221111-1-122-2-2-2-22-2-222-1-1-1-111111111-1-1-1-1-2-22222-2-2-1-1-1-1000011-1-111000000000000i3−i3−i3i3−i3i3i3−i300000000
χ372-2-222-22-2-220022-20000-2-222-2-22000022-2-222-2-20000000000002-22-222-2-2002-200002-2000022-2-2000000000000002-20000
χ382-2-222-22-2-220022-20000-2-222-2-22000022-2-222-2-20000000000002-22-222-2-200-2200002-20000-2-22200000000000000-220000
χ392-2-222-22-2-220022-20000-2-222-2-22000022-2-222-2-2000000000000-22-22-2-222002-20000-22000022-2-200000000000000-220000
χ402-2-222-22-2-220022-20000-2-222-2-22000022-2-222-2-2000000000000-22-22-2-22200-220000-220000-2-222000000000000002-20000
χ412-2-22-222-2-22002-220000-2-2-2-2222000022-2-2-2-2220000000000002-2-2222-2-22-2000000-2222-2-200000000000000002-2000000
χ422-2-22-222-2-22002-220000-2-2-2-2222000022-2-2-2-2220000000000002-2-2222-2-2-22000000-22-2-2220000000000000000-22000000
χ432-2-22-222-2-22002-220000-2-2-2-2222000022-2-2-2-222000000000000-222-2-2-2222-20000002-222-2-20000000000000000-22000000
χ442-2-22-222-2-22002-220000-2-2-2-2222000022-2-2-2-222000000000000-222-2-2-222-220000002-2-2-22200000000000000002-2000000
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
χ494444-4-444444-4-1-4-444-4-4-1-11111-1-1-111-1-1-1-11111-1-1-1-111110000000000000000000000−55−55−55−5500000000000000000000
χ504444-4-444444-4-1-4-444-4-4-1-11111-1-1-111-1-1-1-11111-1-1-1-1111100000000000000000000005−55−55−55−500000000000000000000
χ514444-4-44444-44-1-4-4-4-444-1-11111-111-1-1-1-1-1-111111111-1-1-1-10000000000000000000000−55−555−55−500000000000000000000
χ524444-4-44444-44-1-4-4-4-444-1-11111-111-1-1-1-1-1-111111111-1-1-1-100000000000000000000005−55−5−55−5500000000000000000000
χ5344-4-40044-4-40040000004-40000-400004-44-4000000000000004i−4i000000000000004i−4i000000000000000000000000000000
χ5444-4-40044-4-40040000004-40000-400004-44-400000000000000−4i4i00000000000000−4i4i000000000000000000000000000000
χ5544-4-400-2-2220040000−2i32i34-40000-40000-22-2200000000−2i3−2i32i32i3004i−4i000023−2323−23000000−2i2i000000000000000000000000000000
χ5644-4-400-2-2220040000−2i32i34-40000-40000-22-2200000000−2i3−2i32i32i300−4i4i0000−2323−23230000002i−2i000000000000000000000000000000
χ5744-4-400-2-22200400002i3−2i34-40000-40000-22-22000000002i32i3−2i3−2i3004i−4i0000−2323−2323000000−2i2i000000000000000000000000000000
χ5844-4-400-2-22200400002i3−2i34-40000-40000-22-22000000002i32i3−2i3−2i300−4i4i000023−2323−230000002i−2i000000000000000000000000000000
χ594-44-4004-44-4004000000-440000-400004-4-440000000000004i−4i000000000000004i−4i00000000000000000000000000000000
χ604-44-4004-44-4004000000-440000-400004-4-44000000000000−4i4i00000000000000−4i4i00000000000000000000000000000000
χ614-44-400-22-2200400−2i32i300-440000-40000-222-20000−2i3−2i32i32i300004i−4i00000023−23−23230000−2i2i00000000000000000000000000000000
χ624-44-400-22-2200400−2i32i300-440000-40000-222-20000−2i3−2i32i32i30000−4i4i000000−232323−2300002i−2i00000000000000000000000000000000
χ634-44-400-22-22004002i3−2i300-440000-40000-222-200002i32i3−2i3−2i300004i−4i000000−232323−230000−2i2i00000000000000000000000000000000
χ644-44-400-22-22004002i3−2i300-440000-40000-222-200002i32i3−2i3−2i30000−4i4i00000023−23−232300002i−2i00000000000000000000000000000000
χ654-4-444-44-4-4400-14-4000011-1-111-1−55−55-1-111-1-111−55−55−55−55000000000000004-4000000−555−5-1-11100000000000000000000
χ664-4-444-44-4-4400-14-4000011-1-111-1−55−55-1-111-1-111−55−55−55−5500000000000000-440000005−5−5511-1-100000000000000000000
χ674-4-444-44-4-4400-14-4000011-1-111-15−55−5-1-111-1-1115−55−55−55−5000000000000004-40000005−5−55-1-11100000000000000000000
χ684-4-444-44-4-4400-14-4000011-1-111-15−55−5-1-111-1-1115−55−55−55−500000000000000-44000000−555−511-1-100000000000000000000
χ694-4-444-4-222-2004-220000-4-444-4-440000-2-222-2-2220000000000004-44-4-2-22200000000-220000000000000000000000000000
χ704-4-444-4-222-2004-220000-4-444-4-440000-2-222-2-222000000000000-44-4422-2-2000000002-20000000000000000000000000000
χ714-4-44-444-4-4400-1-4400001111-1-1-1−555−5-1-11111-1-1−55−555−55−50000000000004-400000000-1-111−555−500000000000000000000
χ724-4-44-444-4-4400-1-4400001111-1-1-1−555−5-1-11111-1-1−55−555−55−5000000000000-440000000011-1-15−5−5500000000000000000000
χ734-4-44-444-4-4400-1-4400001111-1-1-15−5−55-1-11111-1-15−55−5−55−550000000000004-400000000-1-1115−5−5500000000000000000000
χ744-4-44-444-4-4400-1-4400001111-1-1-15−5−55-1-11111-1-15−55−5−55−55000000000000-440000000011-1-1−555−500000000000000000000
χ754-4-44-44-222-20042-20000-4-4-4-44440000-2-22222-2-20000000000004-4-44-2-222000000002-20000000000000000000000000000
χ764-4-44-44-222-20042-20000-4-4-4-44440000-2-22222-2-2000000000000-444-422-2-200000000-220000000000000000000000000000
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
χ798888-8-8-4-4-4-48-8-244-4-444-2-22222-2-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000000000
χ808888-8-8-4-4-4-4-88-24444-4-4-2-22222-222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000000000
χ8188-8-80088-8-800-2000000-22−2525−252520000-22-22−2525−25250000000000000000000000000000000000000000000000000000000000
χ8288-8-80088-8-800-2000000-2225−2525−2520000-22-2225−2525−250000000000000000000000000000000000000000000000000000000000
χ8388-8-800-4-44400-20000−4i34i3-22−2525−2525200001-11-15−55−5−i15i15i15−i15i3i3−i3−i300000000000000000000000000000000000000000000000000
χ8488-8-800-4-44400-20000−4i34i3-2225−2525−25200001-11-1−55−55i15−i15−i15i15i3i3−i3−i300000000000000000000000000000000000000000000000000
χ8588-8-800-4-44400-200004i3−4i3-22−2525−2525200001-11-15−55−5i15−i15−i15i15−i3−i3i3i300000000000000000000000000000000000000000000000000
χ8688-8-800-4-44400-200004i3−4i3-2225−2525−25200001-11-1−55−55−i15i15i15−i15−i3−i3i3i300000000000000000000000000000000000000000000000000
χ878-88-8008-88-800-20000002-2−252525−2520000-222-2−252525−250000000000000000000000000000000000000000000000000000000000
χ888-88-8008-88-800-20000002-225−25−252520000-222-225−25−25250000000000000000000000000000000000000000000000000000000000
χ898-88-800-44-4400-200−4i34i3002-2−252525−25200001-1-115−5−55i3i3−i3−i3−i15i15i15−i1500000000000000000000000000000000000000000000000000
χ908-88-800-44-4400-200−4i34i3002-225−25−2525200001-1-11−555−5i3i3−i3−i3i15−i15−i15i1500000000000000000000000000000000000000000000000000
χ918-88-800-44-4400-2004i3−4i3002-2−252525−25200001-1-115−5−55−i3−i3i3i3i15−i15−i15i1500000000000000000000000000000000000000000000000000
χ928-88-800-44-4400-2004i3−4i3002-225−25−2525200001-1-11−555−5−i3−i3i3i3−i15i15i15−i1500000000000000000000000000000000000000000000000000
χ938-8-888-8-444-400-2-44000022-2-222-2−2525−252511-1-111-1-15−55−55−55−500000000000000000000000000000000000000000000000000
χ948-8-888-8-444-400-2-44000022-2-222-225−2525−2511-1-111-1-1−55−55−55−5500000000000000000000000000000000000000000000000000
χ958-8-88-88-444-400-24-400002222-2-2-2−252525−2511-1-1-1-1115−55−5−55−5500000000000000000000000000000000000000000000000000
χ968-8-88-88-444-400-24-400002222-2-2-225−25−252511-1-1-1-111−55−555−55−500000000000000000000000000000000000000000000000000

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