Finite Group Databasebeta

← Group #14299919

Character table — Group #14299919

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222444444444444455888888101010101012121616161616161616202020202020202020202020202020202020202020202020202020202020202020242424242448486060120120120120120
order122344624566610121212122020441015203060602241212441020303030606060246666888888881212122424242424242424242424242424242482020202040404444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1
χ3111111111111111111111111111111111-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ511111111111111111111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111-1-1i−i-1i−i
χ611111111111111111111-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111-1-1−ii-1−ii
χ711111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-111−ii1−ii
χ811111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-111i−i1i−i
χ91111111-1-111-1-1111-1-111111111111111111-1-11-1-11-1-1-1-111-1-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1
χ101111111-1-111-1-1111-1-111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-111
χ111111111-1-111-1-1111-1-1111111111111111-1-1-1-11-1-11-1-1-1-111-1-111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-1111
χ121111111-1-111-1-1111-1-1111111111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1111-1-1
χ131111111-1-111-1-1111-1-111-1-1111111-1-1-1-1-111-1-11-1-11-1-111-1-111ii−i−i−i−iii-111iiii−i−i−i−i−i−i−i−iiiii-11111-1-1-1-1i−i1−ii
χ141111111-1-111-1-1111-1-111-1-1111111-1-1-1-1-111-1-11-1-11-1-111-1-111−i−iiiii−i−i-111−i−i−i−iiiiiiiii−i−i−i−i-11111-1-1-1-1−ii1i−i
χ151111111-1-111-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111ii−i−i−i−iii-111iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-11111−ii-1i−i
χ161111111-1-111-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111−i−iiiii−i−i-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-11111i−i-1−ii
χ172222-2-220022002-2-200-2-22222-22-2-2-2-22220000200-20000-2-200002-2002-2200000022-2-2000022-2-200000000000000
χ182222-2-220022002-2-200-2-22222-22-2-2-2-22220000200-20000-2-20000-2200-222000000-2-2220000-2-22200000000000000
χ192222-2-220022002-2-200-2-2-2-222-22-2-222-2-2-20000200-200002200002i−2i00−2i2i-20000002i2i−2i−2i0000−2i−2i2i2i00000000000000
χ202222-2-220022002-2-200-2-2-2-222-22-2-222-2-2-20000200-20000220000−2i2i002i−2i-2000000−2i−2i2i2i00002i2i−2i−2i00000000000000
χ21222-122-1222-1-1-12-1-1-1-122222-12-1-1-1222-1-10022-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ22222-122-1222-1-1-12-1-1-1-122222-12-1-1-1222-1-10022-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1111111111111111100000000000000
χ23222-122-1222-1-1-12-1-1-1-122-2-22-12-1-1-1-2-2-2110022-1-1-1-1-1-1-2-211112i2i2i2i−2i−2i−2i−2i111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ24222-122-1222-1-1-12-1-1-1-122-2-22-12-1-1-1-2-2-2110022-1-1-1-1-1-1-2-21111−2i−2i−2i−2i2i2i2i2i111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ25222-122-1-2-22-1112-1-11122222-12-1-1-1222-1-100-2-2-111-111-2-2-1-11122-2-222-2-2-111-1-1-1-11111-1-1-1-1111100000000000000
χ26222-122-1-2-22-1112-1-11122222-12-1-1-1222-1-100-2-2-111-111-2-2-1-111-2-222-2-222-1111111-1-1-1-11111-1-1-1-100000000000000
χ27222-122-1-2-22-1112-1-11122-2-22-12-1-1-1-2-2-21100-2-2-111-1112211-1-12i2i−2i−2i−2i−2i2i2i1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ28222-122-1-2-22-1112-1-11122-2-22-12-1-1-1-2-2-21100-2-2-111-1112211-1-1−2i−2i2i2i2i2i−2i−2i1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ29222-1-2-2-1002-1−i3i3211−i3i3-2-2222-1-2-111-2-22-1-10000-1−i3i31−i3i30011−i3i3002-2002-2-1−i3i3−i3−i3i3i3-1-111−i3−i3i3i3-1-11100000000000000
χ30222-1-2-2-1002-1−i3i3211−i3i3-2-2222-1-2-111-2-22-1-10000-1−i3i31−i3i30011−i3i300-2200-22-1−i3i3i3i3−i3−i311-1-1i3i3−i3−i311-1-100000000000000
χ31222-1-2-2-1002-1−i3i3211−i3i3-2-2-2-22-1-2-11122-2110000-1−i3i31−i3i300-1-1i3−i3002i−2i00−2i2i1i3−i333−3−3−i−iii−3−333ii−i−i00000000000000
χ32222-1-2-2-1002-1−i3i3211−i3i3-2-2-2-22-1-2-11122-2110000-1−i3i31−i3i300-1-1i3−i300−2i2i002i−2i1i3−i3−3−333ii−i−i33−3−3−i−iii00000000000000
χ33222-1-2-2-1002-1i3−i3211i3−i3-2-2222-1-2-111-2-22-1-10000-1i3−i31i3−i30011i3−i3002-2002-2-1i3−i3i3i3−i3−i3-1-111i3i3−i3−i3-1-11100000000000000
χ34222-1-2-2-1002-1i3−i3211i3−i3-2-2222-1-2-111-2-22-1-10000-1i3−i31i3−i30011i3−i300-2200-22-1i3−i3−i3−i3i3i311-1-1−i3−i3i3i311-1-100000000000000
χ35222-1-2-2-1002-1i3−i3211i3−i3-2-2-2-22-1-2-11122-2110000-1i3−i31i3−i300-1-1−i3i3002i−2i00−2i2i1−i3i3−3−333−i−iii33−3−3ii−i−i00000000000000
χ36222-1-2-2-1002-1i3−i3211i3−i3-2-2-2-22-1-2-11122-2110000-1i3−i31i3−i300-1-1−i3i300−2i2i002i−2i1−i3i333−3−3ii−i−i−3−333−i−iii00000000000000
χ3722-222-222-22-22222-2-2-2-2-222-2222-2-2-22-222002-2-2222-2-2-222-2-2-200000000-222000000000000000000000000000000
χ3822-222-222-22-22222-2-2-2-2-2-2-2-2222-2-22-22-2-2002-2-2222-2-22-2-2222000000002-2-2000000000000000000000000000000
χ3922-222-22-222-2-2-222-222-2-222-2222-2-2-22-22200-22-2-2-22222-22-22200000000-2-2-2000000000000000000000000000000
χ4022-222-22-222-2-2-222-222-2-2-2-2-2222-2-22-22-2-200-22-2-2-2222-22-22-2-200000000222000000000000000000000000000000
χ4122-22-222002-2002-22002222-22-22222-2-2220000-200-20000-22002-2002-200-2002-22-200002-22-2000000000000000000
χ4222-22-222002-2002-22002222-22-22222-2-2220000-200-20000-2200-2200-2200-200-22-220000-22-22000000000000000000
χ4322-22-222002-2002-220022-2-2-22-2222-222-2-20000-200-200002-2002i−2i00−2i2i002002i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ4422-22-222002-2002-220022-2-2-22-2222-222-2-20000-200-200002-200−2i2i002i−2i00200−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ4522-2-12-2-12-221-1-12-1111-2-222-2-12-111-22-2-1-1002-21-1-1-111-22-1111000000001-1-1−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3−i3i300000000000000
χ4622-2-12-2-12-221-1-12-1111-2-222-2-12-111-22-2-1-1002-21-1-1-111-22-1111000000001-1-1i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3i3−i300000000000000
χ4722-2-12-2-12-221-1-12-1111-2-2-2-2-2-12-1112-2211002-21-1-1-1112-21-1-1-100000000-1113−3−333−33−3−333−3−33−3300000000000000
χ4822-2-12-2-12-221-1-12-1111-2-2-2-2-2-12-1112-2211002-21-1-1-1112-21-1-1-100000000-111−333−3−33−333−3−333−33−300000000000000
χ4922-2-12-2-1-2221112-11-1-1-2-222-2-12-111-22-2-1-100-22111-1-1-12-2-11-1-100000000111−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3i3−i3i3−i300000000000000
χ5022-2-12-2-1-2221112-11-1-1-2-222-2-12-111-22-2-1-100-22111-1-1-12-2-11-1-100000000111i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3−i3i3−i3i300000000000000
χ5122-2-12-2-1-2221112-11-1-1-2-2-2-2-2-12-1112-221100-22111-1-1-1-221-11100000000-1-1-13−3−33−33−33−333−33−33−300000000000000
χ5222-2-12-2-1-2221112-11-1-1-2-2-2-2-2-12-1112-221100-22111-1-1-1-221-11100000000-1-1-1−333−33−33−33−3−33−33−3300000000000000
χ5322-2-1-22-10021−i3i321-1i3−i32222-2-1-2-1-1-12-2-2-1-100001−i3i31i3−i3001-1i3−i32-2002-2001−i3i3-11-11−i3i3i3−i3-11-11−i3i3i3−i300000000000000
χ5422-2-1-22-10021−i3i321-1i3−i32222-2-1-2-1-1-12-2-2-1-100001−i3i31i3−i3001-1i3−i3-2200-22001−i3i31-11-1i3−i3−i3i31-11-1i3−i3−i3i300000000000000
χ5522-2-1-22-10021−i3i321-1i3−i322-2-2-2-1-2-1-1-1-2221100001−i3i31i3−i300-11−i3i32i−2i00−2i2i00-1i3−i3−ii−ii3−3−33i−ii−i−333−300000000000000
χ5622-2-1-22-10021−i3i321-1i3−i322-2-2-2-1-2-1-1-1-2221100001−i3i31i3−i300-11−i3i3−2i2i002i−2i00-1i3−i3i−ii−i−333−3−ii−ii3−3−3300000000000000
χ5722-2-1-22-10021i3−i321-1−i3i32222-2-1-2-1-1-12-2-2-1-100001i3−i31−i3i3001-1−i3i32-2002-2001i3−i3-11-11i3−i3−i3i3-11-11i3−i3−i3i300000000000000
χ5822-2-1-22-10021i3−i321-1−i3i32222-2-1-2-1-1-12-2-2-1-100001i3−i31−i3i3001-1−i3i3-2200-22001i3−i31-11-1−i3i3i3−i31-11-1−i3i3i3−i300000000000000
χ5922-2-1-22-10021i3−i321-1−i3i322-2-2-2-1-2-1-1-1-2221100001i3−i31−i3i300-11i3−i32i−2i00−2i2i00-1−i3i3−ii−ii−333−3i−ii−i3−3−3300000000000000
χ6022-2-1-22-10021i3−i321-1−i3i322-2-2-2-1-2-1-1-1-2221100001i3−i31−i3i300-11i3−i3−2i2i002i−2i00-1−i3i3i−ii−i3−3−33−ii−ii−333−300000000000000
χ61444444444-1444-14444-1-100-1-1-1-1-1-10000044-1-1-1-1-1-1-1-10000000000000000000000000000000004-1-1-1-1-1-10000000
χ62444444444-1444-14444-1-100-1-1-1-1-1-100000-4-4-1-1-1-1-1-1-1-1000000000000000000000000000000000-41111110000000
χ634444444-4-4-14-4-4-144-4-4-1-100-1-1-1-1-1-1000004411-111-111000000000000000000000000000000000-4-1-1-1-1110000000
χ644444444-4-4-14-4-4-144-4-4-1-100-1-1-1-1-1-100000-4-411-111-11100000000000000000000000000000000041111-1-10000000
χ6544-444-444-4-1-444-14-4-4-411001-1-1-1110000000-111-1-1-1110000000000000000000000000000000000−i5−i5i5i5−i5i50000000
χ6644-444-444-4-1-444-14-4-4-411001-1-1-1110000000-111-1-1-1110000000000000000000000000000000000i5i5−i5−i5i5−i50000000
χ6744-444-44-44-1-4-4-4-14-44411001-1-1-11100000001-1111-1-1-10000000000000000000000000000000000−i5−i5i5i5i5−i50000000
χ6844-444-44-44-1-4-4-4-14-44411001-1-1-11100000001-1111-1-1-10000000000000000000000000000000000i5i5−i5−i5−i5i50000000
χ694-40400-4004000-40000004i−4i040-4000004i−4i2-20000000000000000000000000000000000000000002-22-2002i−2i00000
χ704-40400-4004000-40000004i−4i040-4000004i−4i-22000000000000000000000000000000000000000000-22-2200−2i2i00000
χ714-40400-4004000-4000000−4i4i040-400000−4i4i2-20000000000000000000000000000000000000000002-22-200−2i2i00000
χ724-40400-4004000-4000000−4i4i040-400000−4i4i-22000000000000000000000000000000000000000000-22-22002i−2i00000
χ738888-8-8800-2800-2-8-8002200-2-22-222000000000-20020000000000000000000000000000000000000000000000000
χ74888-488-488-2-4-4-4-2-4-4-4-4-2-200-21-21110000000-2-211111100000000000000000000000000000000000000000000000
χ75888-488-4-8-8-2-444-2-4-444-2-200-21-21110000000221-1-11-1-100000000000000000000000000000000000000000000000
χ76888-4-8-8-400-2-4−4i34i3-244−4i34i32200-2121-1-10000000001i3−i3-1i3−i300000000000000000000000000000000000000000000000
χ77888-4-8-8-400-2-44i3−4i3-2444i3−4i32200-2121-1-10000000001−i3i3-1−i3i300000000000000000000000000000000000000000000000
χ7888-88-88800-2-800-2-8800-2-2002-22-2-2-200000000020020000000000000000000000000000000000000000000000000
χ7988-8-48-8-48-8-24-4-4-2-4444220021-21-1-10000000-22-1111-1-100000000000000000000000000000000000000000000000
χ8088-8-48-8-4-88-2444-2-44-4-4220021-21-1-100000002-2-1-1-111100000000000000000000000000000000000000000000000
χ8188-8-4-88-400-24−4i34i3-24-44i3−4i3-2-200212111000000000-1i3−i3-1−i3i300000000000000000000000000000000000000000000000
χ8288-8-4-88-400-244i3−4i3-24-4−4i34i3-2-200212111000000000-1−i3i3-1i3−i300000000000000000000000000000000000000000000000
χ838-80800-800-200020000−2i52i5000-202−2i52i5000004-4000000000000000000000000000000000000000000−1−i51+i5−1+i51−i5000000000
χ848-80800-800-200020000−2i52i5000-202−2i52i500000-440000000000000000000000000000000000000000001+i5−1−i51−i5−1+i5000000000
χ858-80800-800-2000200002i5−2i5000-2022i5−2i5000004-4000000000000000000000000000000000000000000−1+i51−i5−1−i51+i5000000000
χ868-80800-800-2000200002i5−2i5000-2022i5−2i500000-440000000000000000000000000000000000000000001−i5−1+i51+i5−1−i5000000000
χ878-80-4004008000-80000008i−8i0-40400000−4i4i000000000000000000000000000000000000000000000000000000000
χ888-80-4004008000-8000000−8i8i0-404000004i−4i000000000000000000000000000000000000000000000000000000000
χ8916-160-800800-400040000−4i54i500020-22i5−2i500000000000000000000000000000000000000000000000000000000000000
χ9016-160-800800-4000400004i5−4i500020-2−2i52i500000000000000000000000000000000000000000000000000000000000000

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