Finite Group Databasebeta

← Group #14296886

Character table — Group #14296886

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444448888888888888888888810101010101010101010101012121212202020202020242424242424242440404040404040404040404060606060120120120120
order122222366644566101010101010101212121215202020203030303030303060606060606060602222444466664444661212121220202020202020204444121212121212121222224444
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
χ91111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ101111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ111111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-11-11
χ121111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1111-11-1
χ131111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111i−i−ii
χ141111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−iii−i
χ151111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−iii−i
χ161111111111-1-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1i−i−ii
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
χ21222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-10000-1-11111000000002-22-2-1-111-1-11100000000
χ22222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-10000-1-1111100000000-22-2211-1-111-1-100000000
χ23222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111000011-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i00000000
χ24222222-1-1-1-1-2-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111000011-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii00000000
χ252222-2-222222-22-2-222-2-2-2-2222-2-2222-2-222-2-2-2-222222-2-2-2-222-2-222-2-222220000-2-222-2-20000000000000000000000000000
χ262222-2-222222-22-2-222-2-2-2-2222-2-2222-2-222-2-2-2-222222-2-2-2-2-2-222-2-222-2-2-2-2000022-2-2220000000000000000000000000000
χ272222-2-22222-222-2-222-2-2-2-22-2-2222-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-22222220000-2-2-2-2220000000000000000000000000000
χ282222-2-22222-222-2-222-2-2-2-22-2-2222-2-22222-2-2-2-22-2-2-2-22222-2-22222-2-2-2-2-2-200002222-2-20000000000000000000000000000
χ292222-2-2-1-1-1-12-221122-2-2-2-22-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-222-2-2-1-1-1-1000011-1-111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ302222-2-2-1-1-1-12-221122-2-2-2-22-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-222-2-2-1-1-1-1000011-1-111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ312222-2-2-1-1-1-12-221122-2-2-2-22-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222-2-22211110000-1-111-1-10000000000003−33−3−33−3300000000
χ322222-2-2-1-1-1-12-221122-2-2-2-22-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222-2-22211110000-1-111-1-1000000000000−33−333−33−300000000
χ332222-2-2-1-1-1-1-2221122-2-2-2-2211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-2-2-222-1-1-1-100001111-1-1000000000000−i3i3i3−i3−i3i3i3−i300000000
χ342222-2-2-1-1-1-1-2221122-2-2-2-2211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-2-2-222-1-1-1-100001111-1-1000000000000i3−i3−i3i3i3−i3−i3i300000000
χ352222-2-2-1-1-1-1-2221122-2-2-2-2211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-22222-2-211110000-1-1-1-1110000000000003−3−33−333−300000000
χ362222-2-2-1-1-1-1-2221122-2-2-2-2211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-22222-2-211110000-1-1-1-111000000000000−333−33−3−3300000000
χ372-2-222-22-2-220022-2-2-222-2-22000020000-2-222-2-22000000002-22-2000022-2-2002-22-20000000022-2-2000000000000002-20000
χ382-2-222-22-2-220022-2-2-222-2-22000020000-2-222-2-22000000002-22-2000022-2-200-222-200000000-2-22200000000000000-220000
χ392-2-222-22-2-220022-2-2-222-2-22000020000-2-222-2-2200000000-22-220000-2-222002-2-220000000022-2-200000000000000-220000
χ402-2-222-22-2-220022-2-2-222-2-22000020000-2-222-2-2200000000-22-220000-2-22200-22-2200000000-2-222000000000000002-20000
χ412-2-22-222-2-22002-22-2-2-2-2222000020000-2-2-2-2222000000002-2-22000022-2-22-200-22000022-2-200000000000000002-2000000
χ422-2-22-222-2-22002-22-2-2-2-2222000020000-2-2-2-2222000000002-2-22000022-2-2-2200-220000-2-2220000000000000000-22000000
χ432-2-22-222-2-22002-22-2-2-2-2222000020000-2-2-2-222200000000-222-20000-2-2222-2002-2000022-2-20000000000000000-22000000
χ442-2-22-222-2-22002-22-2-2-2-2222000020000-2-2-2-222200000000-222-20000-2-222-22002-20000-2-22200000000000000002-2000000
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
χ494444-4-444444-4-1-4-4-1-11111-144-4-4-1-1-111-1-11111-1-1-1-1-111110000000000000000000000−55−55−55−5500000000000000000000
χ504444-4-444444-4-1-4-4-1-11111-144-4-4-1-1-111-1-11111-1-1-1-1-1111100000000000000000000005−55−55−55−500000000000000000000
χ514444-4-44444-44-1-4-4-1-11111-1-4-444-111-1-1-1-11111-11111-1-1-1-10000000000000000000000−55−555−55−500000000000000000000
χ524444-4-44444-44-1-4-4-1-11111-1-4-444-111-1-1-1-11111-11111-1-1-1-100000000000000000000005−55−5−55−5500000000000000000000
χ5344-4-40044-4-4004004-40000-40000400004-40000-4000000000000004i−4i0000000000004i−4i0000000000000000000000000000
χ5444-4-40044-4-4004004-40000-40000400004-40000-400000000000000−4i4i000000000000−4i4i0000000000000000000000000000
χ5544-4-400-2-222004004-40000-40023−23-20000-220000200002323−23−230000004i−4i−2i32i3−2i32i300000000−2i2i0000000000000000000000000000
χ5644-4-400-2-222004004-40000-40023−23-20000-220000200002323−23−23000000−4i4i2i3−2i32i3−2i3000000002i−2i0000000000000000000000000000
χ5744-4-400-2-222004004-40000-400−2323-20000-22000020000−23−2323230000004i−4i2i3−2i32i3−2i300000000−2i2i0000000000000000000000000000
χ5844-4-400-2-222004004-40000-400−2323-20000-22000020000−23−232323000000−4i4i−2i32i3−2i32i3000000002i−2i0000000000000000000000000000
χ594-44-4004-44-400400-440000-4000040000-440000-40000000000004i−4i0000000000004i−4i000000000000000000000000000000
χ604-44-4004-44-400400-440000-4000040000-440000-4000000000000−4i4i000000000000−4i4i000000000000000000000000000000
χ614-44-400-22-2200400-440000-423−2300-200002-2000022323−23−23000000004i−4i00−2i32i32i3−2i3000000−2i2i000000000000000000000000000000
χ624-44-400-22-2200400-440000-423−2300-200002-2000022323−23−2300000000−4i4i002i3−2i3−2i32i30000002i−2i000000000000000000000000000000
χ634-44-400-22-2200400-440000-4−232300-200002-200002−23−232323000000004i−4i002i3−2i3−2i32i3000000−2i2i000000000000000000000000000000
χ644-44-400-22-2200400-440000-4−232300-200002-200002−23−23232300000000−4i4i00−2i32i32i3−2i30000002i−2i000000000000000000000000000000
χ654-4-444-44-4-4400-14-411-1-111-10000-1−55−5511-1-111-1−55−55−55−55000000000000004-4000000−555−5-1-11100000000000000000000
χ664-4-444-44-4-4400-14-411-1-111-10000-1−55−5511-1-111-1−55−55−55−5500000000000000-440000005−5−5511-1-100000000000000000000
χ674-4-444-44-4-4400-14-411-1-111-10000-15−55−511-1-111-15−55−55−55−5000000000000004-40000005−5−55-1-11100000000000000000000
χ684-4-444-44-4-4400-14-411-1-111-10000-15−55−511-1-111-15−55−55−55−500000000000000-44000000−555−511-1-100000000000000000000
χ694-4-444-4-222-2004-22-4-444-4-440000-2000022-2-222-2000000004-44-40000-2-2220000-2200000000000000000000000000000000
χ704-4-444-4-222-2004-22-4-444-4-440000-2000022-2-222-200000000-44-44000022-2-200002-200000000000000000000000000000000
χ714-4-44-444-4-4400-1-441111-1-1-10000-1−555−51111-1-1-1−55−555−55−50000000000004-400000000-1-111−555−500000000000000000000
χ724-4-44-444-4-4400-1-441111-1-1-10000-1−555−51111-1-1-1−55−555−55−5000000000000-440000000011-1-15−5−5500000000000000000000
χ734-4-44-444-4-4400-1-441111-1-1-10000-15−5−551111-1-1-15−55−5−55−550000000000004-400000000-1-1115−5−5500000000000000000000
χ744-4-44-444-4-4400-1-441111-1-1-10000-15−5−551111-1-1-15−55−5−55−55000000000000-440000000011-1-1−555−500000000000000000000
χ754-4-44-44-222-20042-2-4-4-4-44440000-200002222-2-2-2000000004-4-440000-2-22200002-200000000000000000000000000000000
χ764-4-44-44-222-20042-2-4-4-4-44440000-200002222-2-2-200000000-444-4000022-2-20000-2200000000000000000000000000000000
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
χ798888-8-8-4-4-4-48-8-244-2-22222-2-4-4441-2-22211-1-1-1-111111-1-1-1-100000000000000000000000000000000000000000000000000
χ808888-8-8-4-4-4-4-88-244-2-22222-244-4-4122-2-211-1-1-1-11-1-1-1-1111100000000000000000000000000000000000000000000000000
χ8188-8-80088-8-800-200-22−2525−252520000-20000-22−2525−252520000000000000000000000000000000000000000000000000000000000
χ8288-8-80088-8-800-200-2225−2525−2520000-20000-2225−2525−2520000000000000000000000000000000000000000000000000000000000
χ8388-8-800-4-44400-200-22−2525−252520043−43100001-15−55−5-1−151515−15−3−33300000000000000000000000000000000000000000000000000
χ8488-8-800-4-44400-200-22−2525−2525200−4343100001-15−55−5-115−15−151533−3−300000000000000000000000000000000000000000000000000
χ8588-8-800-4-44400-200-2225−2525−2520043−43100001-1−55−55-115−15−1515−3−33300000000000000000000000000000000000000000000000000
χ8688-8-800-4-44400-200-2225−2525−25200−4343100001-1−55−55-1−151515−1533−3−300000000000000000000000000000000000000000000000000
χ878-88-8008-88-800-2002-2−252525−2520000-200002-2−252525−2520000000000000000000000000000000000000000000000000000000000
χ888-88-8008-88-800-2002-225−25−252520000-200002-225−25−252520000000000000000000000000000000000000000000000000000000000
χ898-88-800-44-4400-2002-2−252525−25243−430010000-115−5−55-1−3−333−151515−1500000000000000000000000000000000000000000000000000
χ908-88-800-44-4400-2002-2−252525−252−43430010000-115−5−55-133−3−315−15−151500000000000000000000000000000000000000000000000000
χ918-88-800-44-4400-2002-225−25−2525243−430010000-11−555−5-1−3−33315−15−151500000000000000000000000000000000000000000000000000
χ928-88-800-44-4400-2002-225−25−25252−43430010000-11−555−5-133−3−3−151515−1500000000000000000000000000000000000000000000000000
χ938-8-888-8-444-400-2-4422-2-222-200001−2525−2525-1-111-1-115−55−55−55−500000000000000000000000000000000000000000000000000
χ948-8-888-8-444-400-2-4422-2-222-20000125−2525−25-1-111-1-11−55−55−55−5500000000000000000000000000000000000000000000000000
χ958-8-88-88-444-400-24-42222-2-2-200001−252525−25-1-1-1-11115−55−5−55−5500000000000000000000000000000000000000000000000000
χ968-8-88-88-444-400-24-42222-2-2-20000125−25−2525-1-1-1-1111−55−555−55−500000000000000000000000000000000000000000000000000

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