Finite Group Databasebeta

← Group #14298886

Character table — Group #14298886

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444444444444555588888888888888888888101010101010121212122020202020202020242424242424242440404040404040404040404060606060120120120120
order1222344666445101010121212121212202020202222152020202030303060606060606060606060606044666688884412121212121240404040404040404444121212121212121288884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ811111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ91111111111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ101111111111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ111111111111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-11-11
χ121111111111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1111-11-1
χ131111111111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111i−i−ii
χ141111111111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−iii−i
χ151111111111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1−iii−i
χ161111111111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1i−i−ii
χ1722222-2-22222-22222-2-222-2-2-2-2-2-22222222-2-2222-2-2-2-22222-2-2-2-2-2-2222200002-2-2-222-2-20000000000000000000000000000
χ1822222-2-22222-22222-2-222-2-2-2-2-2-2-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-222-2-2-2-20000-2222-2-2220000000000000000000000000000
χ1922222-2-2222-222222-2-2-2-222-2-2-2-222222-2-222222-2-2-2-2-2-2-2-22222-2-222220000-22-2-2-2-2220000000000000000000000000000
χ2022222-2-2222-222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222222-2-2-2-2-2-2-2-2222222-2-2-2-200002-22222-2-20000000000000000000000000000
χ212222-122-1-1-1222222-1-1-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000
χ222222-122-1-1-1222222-1-1-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-1-100000000-2-2-2-21111111100000000
χ232222-122-1-1-1222222-1-1-1-1-1-12222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000-2-2111111000000002i2i−2i−2i−i−i−i−iiiii00000000
χ242222-122-1-1-1222222-1-1-1-1-1-12222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000-2-211111100000000−2i−2i2i2iiiii−i−i−i−i00000000
χ252222-122-1-1-1-2-22222-1-1111122222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-10000-2-2-1-11111000000002-22-2-1-111-1-11100000000
χ262222-122-1-1-1-2-22222-1-1111122222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-10000-2-2-1-1111100000000-22-2211-1-111-1-100000000
χ272222-122-1-1-1-2-22222-1-111112222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2111100002211-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i00000000
χ282222-122-1-1-1-2-22222-1-111112222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2111100002211-1-1-1-100000000−2i2i2i−2iii−i−i−i−iii00000000
χ292222-1-2-2-1-1-12-2222211-1-111-2-2-2-22222-122-2-2-1-1-11111-1-1-1-11111-2-2-1-1-1-100002-211-1-111000000000000−i3i3−i3i3−i3i3−i3i300000000
χ302222-1-2-2-1-1-12-2222211-1-111-2-2-2-22222-122-2-2-1-1-11111-1-1-1-11111-2-2-1-1-1-100002-211-1-111000000000000i3−i3i3−i3i3−i3i3−i300000000
χ312222-1-2-2-1-1-12-2222211-1-111-2-2-2-2-2-2-2-2-122-2-2-1-1-11111-1-1-1-111112211110000-22-1-111-1-10000000000003−33−3−33−3300000000
χ322222-1-2-2-1-1-12-2222211-1-111-2-2-2-2-2-2-2-2-122-2-2-1-1-11111-1-1-1-111112211110000-22-1-111-1-1000000000000−33−333−33−300000000
χ332222-1-2-2-1-1-1-2222221111-1-1-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-1-2-2-1-1-1-10000-221111-1-1000000000000−i3i3i3−i3−i3i3i3−i300000000
χ342222-1-2-2-1-1-1-2222221111-1-1-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-1-2-2-1-1-1-10000-221111-1-1000000000000i3−i3−i3i3i3−i3−i3i300000000
χ352222-1-2-2-1-1-1-2222221111-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122111100002-2-1-1-1-1110000000000003−3−33−333−300000000
χ362222-1-2-2-1-1-1-2222221111-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122111100002-2-1-1-1-111000000000000−333−33−3−3300000000
χ3722-2-222-22-2-20022-2-22-2000022-2-222-2-2200002-2-222-2-2000000002-22-2-22002i−2i002-2000000002i2i−2i−2i000000000000002i−2i0000
χ3822-2-222-22-2-20022-2-22-2000022-2-222-2-2200002-2-222-2-2000000002-22-2-2200−2i2i002-200000000−2i−2i2i2i00000000000000−2i2i0000
χ3922-2-222-22-2-20022-2-22-2000022-2-2-2-222200002-2-222-2-200000000-22-222-2002i−2i00-22000000002i2i−2i−2i00000000000000−2i2i0000
χ4022-2-222-22-2-20022-2-22-2000022-2-2-2-222200002-2-222-2-200000000-22-222-200−2i2i00-2200000000−2i−2i2i2i000000000000002i−2i0000
χ4122-2-22-222-2-20022-2-2-220000-2-22222-2-2200002-2-2-2-22200000000-222-2-222i−2i0000-2200002i2i−2i−2i00000000000000002i−2i000000
χ4222-2-22-222-2-20022-2-2-220000-2-22222-2-2200002-2-2-2-22200000000-222-2-22−2i2i0000-220000−2i−2i2i2i0000000000000000−2i2i000000
χ4322-2-22-222-2-20022-2-2-220000-2-222-2-222200002-2-2-2-222000000002-2-222-22i−2i00002-200002i2i−2i−2i0000000000000000−2i2i000000
χ4422-2-22-222-2-20022-2-2-220000-2-222-2-222200002-2-2-2-222000000002-2-222-2−2i2i00002-20000−2i−2i2i2i00000000000000002i−2i000000
χ45444444444444-1-1-1-1444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000444400000000-1-1-1-1-1-1-1-100000000000000000000
χ46444444444444-1-1-1-1444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-4-4-4-4000000001111111100000000000000000000
χ474444444444-4-4-1-1-1-144-4-4-4-4-1-1-1-10000-11111-1-1-1-1-1-1-11111111100000044-4-400000000-1-1-1-1111100000000000000000000
χ484444444444-4-4-1-1-1-144-4-4-4-4-1-1-1-10000-11111-1-1-1-1-1-1-111111111000000-4-444000000001111-1-1-1-100000000000000000000
χ4944444-4-44444-4-1-1-1-1-4-444-4-411110000-1-1-111-1-1-11111-1-1-1-11111000000000000000000−i5i5−i5i5−i5i5−i5i500000000000000000000
χ5044444-4-44444-4-1-1-1-1-4-444-4-411110000-1-1-111-1-1-11111-1-1-1-11111000000000000000000i5−i5i5−i5i5−i5i5−i500000000000000000000
χ5144444-4-4444-44-1-1-1-1-4-4-4-44411110000-111-1-1-1-1-111111111-1-1-1-1000000000000000000−i5i5−i5i5i5−i5i5−i500000000000000000000
χ5244444-4-4444-44-1-1-1-1-4-4-4-44411110000-111-1-1-1-1-111111111-1-1-1-1000000000000000000i5−i5i5−i5−i5i5−i5i500000000000000000000
χ5344-4-444-44-4-400-1-1114-40000-1-1110000-1−i5i5−i5i5-111-1-111−i5−i5i5i5−i5−i5i5i5000000004i−4i00000000−555−5−i−iii00000000000000000000
χ5444-4-444-44-4-400-1-1114-40000-1-1110000-1−i5i5−i5i5-111-1-111−i5−i5i5i5−i5−i5i5i500000000−4i4i000000005−5−55ii−i−i00000000000000000000
χ5544-4-444-44-4-400-1-1114-40000-1-1110000-1i5−i5i5−i5-111-1-111i5i5−i5−i5i5i5−i5−i5000000004i−4i000000005−5−55−i−iii00000000000000000000
χ5644-4-444-44-4-400-1-1114-40000-1-1110000-1i5−i5i5−i5-111-1-111i5i5−i5−i5i5i5−i5−i500000000−4i4i00000000−555−5ii−i−i00000000000000000000
χ5744-4-44-444-4-400-1-111-44000011-1-10000-1−i5i5i5−i5-11111-1-1−i5−i5i5i5i5i5−i5−i50000004i−4i0000000000−i−iii5−5−5500000000000000000000
χ5844-4-44-444-4-400-1-111-44000011-1-10000-1−i5i5i5−i5-11111-1-1−i5−i5i5i5i5i5−i5−i5000000−4i4i0000000000ii−i−i−555−500000000000000000000
χ5944-4-44-444-4-400-1-111-44000011-1-10000-1i5−i5−i5i5-11111-1-1i5i5−i5−i5−i5−i5i5i50000004i−4i0000000000−i−iii−555−500000000000000000000
χ6044-4-44-444-4-400-1-111-44000011-1-10000-1i5−i5−i5i5-11111-1-1i5i5−i5−i5−i5−i5i5i5000000−4i4i0000000000ii−i−i5−5−5500000000000000000000
χ6144-4-4-24-4-2220044-4-4-22000044-4-444-4-4-20000-222-2-222000000004-4-222-2000000-2200000000000000000000000000000000
χ6244-4-4-24-4-2220044-4-4-22000044-4-4-4-444-20000-222-2-22200000000-442-2-220000002-200000000000000000000000000000000
χ6344-4-4-2-44-2220044-4-42-20000-4-44444-4-4-20000-22222-2-200000000-44-222-20000002-200000000000000000000000000000000
χ6444-4-4-2-44-2220044-4-42-20000-4-444-4-444-20000-22222-2-2000000004-42-2-22000000-2200000000000000000000000000000000
χ654-44-4400-44-4004-44-400000000004-44-440000-44-40000000000000044-4-40000000000000000000000000000000000000000
χ664-44-4400-44-4004-44-40000000000-44-4440000-44-400000000000000-4-4440000000000000000000000000000000000000000
χ674-44-4-2002-22004-44-400−2i32i30000004-44-4-200002-220000−2i32i3−2i32i3000000-2-22200000000−2i32i3000000000000000000000000000000
χ684-44-4-2002-22004-44-400−2i32i3000000-44-44-200002-220000−2i32i3−2i32i300000022-2-2000000002i3−2i3000000000000000000000000000000
χ694-44-4-2002-22004-44-4002i3−2i30000004-44-4-200002-2200002i3−2i32i3−2i3000000-2-222000000002i3−2i3000000000000000000000000000000
χ704-44-4-2002-22004-44-4002i3−2i3000000-44-44-200002-2200002i3−2i32i3−2i300000022-2-200000000−2i32i3000000000000000000000000000000
χ714-4-44400-4-44004-4-4400000000004-4-4440000-4-44000000000000004-44-40000000000000000000000000000000000000000
χ724-4-44400-4-44004-4-440000000000-444-440000-4-4400000000000000-44-440000000000000000000000000000000000000000
χ734-4-44-20022-2004-4-440000−2i32i300004-4-44-2000022-200000000−2i32i3−2i32i300-22-220000000000−2i32i30000000000000000000000000000
χ744-4-44-20022-2004-4-440000−2i32i30000-444-4-2000022-200000000−2i32i3−2i32i3002-22-200000000002i3−2i30000000000000000000000000000
χ754-4-44-20022-2004-4-4400002i3−2i300004-4-44-2000022-2000000002i3−2i32i3−2i300-22-2200000000002i3−2i30000000000000000000000000000
χ764-4-44-20022-2004-4-4400002i3−2i30000-444-4-2000022-2000000002i3−2i32i3−2i3002-22-20000000000−2i32i30000000000000000000000000000
χ778888-488-4-4-488-2-2-2-2-4-4-4-4-4-4-2-2-2-200001-2-2-2-21111111111111110000000000000000000000000000000000000000000000
χ788888-488-4-4-4-8-8-2-2-2-2-4-44444-2-2-2-20000122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-48-8-2-2-2-244-4-444222200001-2-222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ808888-4-8-8-4-4-4-88-2-2-2-24444-4-422220000122-2-2111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ8188-8-8-48-8-44400-2-222-440000-2-22200001−2i52i5−2i52i51-1-111-1-1i5i5−i5−i5i5i5−i5−i50000000000000000000000000000000000000000000000
χ8288-8-8-48-8-44400-2-222-440000-2-222000012i5−2i52i5−2i51-1-111-1-1−i5−i5i5i5−i5−i5i5i50000000000000000000000000000000000000000000000
χ8388-8-8-4-88-44400-2-2224-4000022-2-200001−2i52i52i5−2i51-1-1-1-111i5i5−i5−i5−i5−i5i5i50000000000000000000000000000000000000000000000
χ8488-8-8-4-88-44400-2-2224-4000022-2-2000012i5−2i5−2i52i51-1-1-1-111−i5−i5i5i5i5i5−i5−i50000000000000000000000000000000000000000000000
χ858-88-8800-88-800-22-22000000−2i52i5−2i52i50000-200002-22−2i52i5−2i52i5000000000000000000000000000000000000000000000000000000
χ868-88-8800-88-800-22-220000002i5−2i52i5−2i50000-200002-222i5−2i52i5−2i5000000000000000000000000000000000000000000000000000000
χ878-88-8-4004-4400-22-2200−4i34i300−2i52i5−2i52i5000010000-11-1i5−i5i5−i5i3−i3i3−i3−151515−150000000000000000000000000000000000000000000000
χ888-88-8-4004-4400-22-2200−4i34i3002i5−2i52i5−2i5000010000-11-1−i5i5−i5i5i3−i3i3−i315−15−15150000000000000000000000000000000000000000000000
χ898-88-8-4004-4400-22-22004i3−4i300−2i52i5−2i52i5000010000-11-1i5−i5i5−i5−i3i3−i3i315−15−15150000000000000000000000000000000000000000000000
χ908-88-8-4004-4400-22-22004i3−4i3002i5−2i52i5−2i5000010000-11-1−i5i5−i5i5−i3i3−i3i3−151515−150000000000000000000000000000000000000000000000
χ918-8-88800-8-8800-222-2000000−2i52i52i5−2i50000-2000022-2−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000
χ928-8-88800-8-8800-222-20000002i5−2i5−2i52i50000-2000022-22i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000
χ938-8-88-40044-400-222-20000−4i34i3−2i52i52i5−2i5000010000-1-11i5−i5−i5i515−15−1515i3−i3i3−i30000000000000000000000000000000000000000000000
χ948-8-88-40044-400-222-20000−4i34i32i5−2i5−2i52i5000010000-1-11−i5i5i5−i5−151515−15i3−i3i3−i30000000000000000000000000000000000000000000000
χ958-8-88-40044-400-222-200004i3−4i3−2i52i52i5−2i5000010000-1-11i5−i5−i5i5−151515−15−i3i3−i3i30000000000000000000000000000000000000000000000
χ968-8-88-40044-400-222-200004i3−4i32i5−2i5−2i52i5000010000-1-11−i5i5i5−i515−15−1515−i3i3−i3i30000000000000000000000000000000000000000000000

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