Finite Group Databasebeta

← Group #14301415

Character table — Group #14301415

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222444444444444455888888101010101012121616161616161616202020202020202020202020202020202020202020202020202020202020202020242424242448486060120120120120120
order122344622566666101010121244152020303030224121244101030303030606044668888888812121212122424242424242424242424242424242422020202010104444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1111111-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111-1-1-1ii−i−i
χ611111111111111111111-1-1111111-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111-1-1-1−i−iii
χ711111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1111−i−iii
χ811111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1111ii−i−i
χ91111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-111-11-11-1
χ101111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-111-1-11-11
χ111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-111-1-11-11-11
χ121111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-111-11-1
χ131111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-11111iiii−i−i−i−i−i−i−i−iiiii-11111-1-1-1-11i−i−ii
χ141111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-11111−i−i−i−iiiiiiiii−i−i−i−i-11111-1-1-1-11−iii−i
χ151111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii-11111iiii−i−i−i−i−i−i−i−iiiii1-1-1-1-11111-1−iii−i
χ161111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1-11111-1i−i−ii
χ172222-2-222-22222-2-2222-2-2222-2-2222-2-2222002-222-2-2-2-22-2-2-200000000222-2-2000000000000000000000000000000
χ182222-2-222-22222-2-2222-2-2-2-22-2-222222-2-2-2002-222-2-2-2-2-222200000000-2-2-222000000000000000000000000000000
χ192222-2-22-2222-2-222222-2-2222-2-2222-2-222200-22-2-222-2-2-22-2-2000000002-2-222000000000000000000000000000000
χ202222-2-22-2222-2-222222-2-2-2-22-2-222222-2-2-200-22-2-222-2-22-22200000000-222-2-2000000000000000000000000000000
χ21222-122-1222-1-1-1-1-1222-1-122-122-1-1-1222-1-10022-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ22222-122-1222-1-1-1-1-1222-1-122-122-1-1-1222-1-10022-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1111111111111111100000000000000
χ23222-122-1222-1-1-1-1-1222-1-1-2-2-122-1-1-1-2-2-2110022-1-1-1-1-1-1-2-2112i2i2i2i−2i−2i−2i−2i11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ24222-122-1222-1-1-1-1-1222-1-1-2-2-122-1-1-1-2-2-2110022-1-1-1-1-1-1-2-211−2i−2i−2i−2i2i2i2i2i11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ25222-122-1-2-22-11111222-1-122-122-1-1-1222-1-100-2-21111-1-1-2-2-1-122-2-222-2-2-11111-1-1-1-11111-1-1-1-1111100000000000000
χ26222-122-1-2-22-11111222-1-122-122-1-1-1222-1-100-2-21111-1-1-2-2-1-1-2-222-2-222-111111111-1-1-1-11111-1-1-1-100000000000000
χ27222-122-1-2-22-11111222-1-1-2-2-122-1-1-1-2-2-21100-2-21111-1-122112i2i−2i−2i−2i−2i2i2i1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ28222-122-1-2-22-11111222-1-1-2-2-122-1-1-1-2-2-21100-2-21111-1-12211−2i−2i2i2i2i2i−2i−2i1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ29222-1-2-2-12-22-1-1-1112221122-1-2-2-1-1-1-2-22-1-1002-2-1-111112-21100000000-1-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000
χ30222-1-2-2-12-22-1-1-1112221122-1-2-2-1-1-1-2-22-1-1002-2-1-111112-21100000000-1-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000
χ31222-1-2-2-12-22-1-1-11122211-2-2-1-2-2-1-1-122-211002-2-1-11111-22-1-100000000111-1-133−3−333−3−3−3−333−3−33300000000000000
χ32222-1-2-2-12-22-1-1-11122211-2-2-1-2-2-1-1-122-211002-2-1-11111-22-1-100000000111-1-1−3−333−3−33333−3−333−3−300000000000000
χ33222-1-2-2-1-222-111-1-12221122-1-2-2-1-1-1-2-22-1-100-2211-1-111-221100000000-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000
χ34222-1-2-2-1-222-111-1-12221122-1-2-2-1-1-1-2-22-1-100-2211-1-111-221100000000-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000
χ35222-1-2-2-1-222-111-1-122211-2-2-1-2-2-1-1-122-21100-2211-1-1112-2-1-1000000001-1-11133−3−3−3−333−3−33333−3−300000000000000
χ36222-1-2-2-1-222-111-1-122211-2-2-1-2-2-1-1-122-21100-2211-1-1112-2-1-1000000001-1-111−3−33333−3−333−3−3−3−33300000000000000
χ3722-222-22002-200002-2-22-22222-2-2-222-2-222000000002-2002-2002-2002-2-2000000002-22-200002-22-200000000000000
χ3822-222-22002-200002-2-22-22222-2-2-222-2-222000000002-2002-200-2200-22-200000000-22-220000-22-2200000000000000
χ3922-222-22002-200002-2-22-2-2-222-2-2-22-222-2-2000000002-200-22002i−2i00−2i2i2000000002i−2i2i−2i0000−2i2i−2i2i00000000000000
χ4022-222-22002-200002-2-22-2-2-222-2-2-22-222-2-2000000002-200-2200−2i2i002i−2i200000000−2i2i−2i2i00002i−2i2i−2i00000000000000
χ4122-22-222002-200002-2-2-22222-22-2-22-22-22200000000-2200-222-2002-200-200002-22-200002-22-2000000000000000000
χ4222-22-222002-200002-2-2-22222-22-2-22-22-22200000000-2200-22-2200-2200-20000-22-220000-22-22000000000000000000
χ4322-22-222002-200002-2-2-22-2-22-22-2-222-22-2-200000000-22002-22i−2i00−2i2i00200002i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ4422-22-222002-200002-2-2-22-2-22-22-2-222-22-2-200000000-22002-2−2i2i002i−2i0020000−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ4522-2-12-2-10021−i3i3−i3i32-2-2-1122-12-211-12-2-2-1-10000−i3i3−i3i3-1100-11002-2002-21−i3i3−i3i3−i3i3i3−i3-11-11−i3i3i3−i3-11-1100000000000000
χ4622-2-12-2-10021−i3i3−i3i32-2-2-1122-12-211-12-2-2-1-10000−i3i3−i3i3-1100-1100-2200-221−i3i3−i3i3i3−i3−i3i31-11-1i3−i3−i3i31-11-100000000000000
χ4722-2-12-2-10021−i3i3−i3i32-2-2-11-2-2-12-211-1-222110000−i3i3−i3i3-11001-1002i−2i00−2i2i-1i3−i3i3−i33−3−33−ii−ii−333−3i−ii−i00000000000000
χ4822-2-12-2-10021−i3i3−i3i32-2-2-11-2-2-12-211-1-222110000−i3i3−i3i3-11001-100−2i2i002i−2i-1i3−i3i3−i3−333−3i−ii−i3−3−33−ii−ii00000000000000
χ4922-2-12-2-10021i3−i3i3−i32-2-2-1122-12-211-12-2-2-1-10000i3−i3i3−i3-1100-11002-2002-21i3−i3i3−i3i3−i3−i3i3-11-11i3−i3−i3i3-11-1100000000000000
χ5022-2-12-2-10021i3−i3i3−i32-2-2-1122-12-211-12-2-2-1-10000i3−i3i3−i3-1100-1100-2200-221i3−i3i3−i3−i3i3i3−i31-11-1−i3i3i3−i31-11-100000000000000
χ5122-2-12-2-10021i3−i3i3−i32-2-2-11-2-2-12-211-1-222110000i3−i3i3−i3-11001-1002i−2i00−2i2i-1−i3i3−i3i3−333−3−ii−ii3−3−33i−ii−i00000000000000
χ5222-2-12-2-10021i3−i3i3−i32-2-2-11-2-2-12-211-1-222110000i3−i3i3−i3-11001-100−2i2i002i−2i-1−i3i3−i3i33−3−33i−ii−i−333−3−ii−ii00000000000000
χ5322-2-1-22-10021−i3i3i3−i32-2-21-122-1-2211-1-22-2-1-10000−i3i3i3−i31-1001-12-2002-2001−i3i3i3−i3-11-11−i3i3i3−i3-11-11−i3i3i3−i300000000000000
χ5422-2-1-22-10021−i3i3i3−i32-2-21-122-1-2211-1-22-2-1-10000−i3i3i3−i31-1001-1-2200-22001−i3i3i3−i31-11-1i3−i3−i3i31-11-1i3−i3−i3i300000000000000
χ5522-2-1-22-10021−i3i3i3−i32-2-21-1-2-2-1-2211-12-22110000−i3i3i3−i31-100-112i−2i00−2i2i00-1i3−i3−i3i3−ii−ii3−3−33i−ii−i−333−300000000000000
χ5622-2-1-22-10021−i3i3i3−i32-2-21-1-2-2-1-2211-12-22110000−i3i3i3−i31-100-11−2i2i002i−2i00-1i3−i3−i3i3i−ii−i−333−3−ii−ii3−3−3300000000000000
χ5722-2-1-22-10021i3−i3−i3i32-2-21-122-1-2211-1-22-2-1-10000i3−i3−i3i31-1001-12-2002-2001i3−i3−i3i3-11-11i3−i3−i3i3-11-11i3−i3−i3i300000000000000
χ5822-2-1-22-10021i3−i3−i3i32-2-21-122-1-2211-1-22-2-1-10000i3−i3−i3i31-1001-1-2200-22001i3−i3−i3i31-11-1−i3i3i3−i31-11-1−i3i3i3−i300000000000000
χ5922-2-1-22-10021i3−i3−i3i32-2-21-1-2-2-1-2211-12-22110000i3−i3−i3i31-100-112i−2i00−2i2i00-1−i3i3i3−i3−ii−ii−333−3i−ii−i3−3−3300000000000000
χ6022-2-1-22-10021i3−i3−i3i32-2-21-1-2-2-1-2211-12-22110000i3−i3−i3i31-100-11−2i2i002i−2i00-1−i3i3i3−i3i−ii−i3−3−33−ii−ii−333−300000000000000
χ61444444444-144444-1-1-14400-1-1-1-1-1-10000044-1-1-1-1-1-1-1-10000000000000000000000000000000004-1-1-1-1-1-10000000
χ62444444444-144444-1-1-14400-1-1-1-1-1-100000-4-4-1-1-1-1-1-1-1-1000000000000000000000000000000000-41111110000000
χ634444444-4-4-14-4-4-4-4-1-1-14400-1-1-1-1-1-10000044111111-1-1000000000000000000000000000000000-4-1-1-1-1110000000
χ644444444-4-4-14-4-4-4-4-1-1-14400-1-1-1-1-1-100000-4-4111111-1-100000000000000000000000000000000041111-1-10000000
χ654444-4-444-4-1444-4-4-1-1-1-4-400-111-1-1-10000000-11-1-111110000000000000000000000000000000000−5−555−550000000
χ664444-4-444-4-1444-4-4-1-1-1-4-400-111-1-1-10000000-11-1-11111000000000000000000000000000000000055−5−55−50000000
χ674444-4-44-44-14-4-444-1-1-1-4-400-111-1-1-100000001-111-1-1110000000000000000000000000000000000−5−5555−50000000
χ684444-4-44-44-14-4-444-1-1-1-4-400-111-1-1-100000001-111-1-111000000000000000000000000000000000055−5−5−550000000
χ694-40400-400400000-400004i−4i40000-40004i−4i2-20000000000000000000000000000000000000000002-22-2002i−2i00000
χ704-40400-400400000-400004i−4i40000-40004i−4i-22000000000000000000000000000000000000000000-22-2200−2i2i00000
χ714-40400-400400000-40000−4i4i40000-4000−4i4i2-20000000000000000000000000000000000000000002-22-200−2i2i00000
χ724-40400-400400000-40000−4i4i40000-4000−4i4i-22000000000000000000000000000000000000000000-22-22002i−2i00000
χ73888-488-488-2-4-4-4-4-4-2-2-2-4-4001-2-21110000000-2-211111100000000000000000000000000000000000000000000000
χ74888-488-4-8-8-2-44444-2-2-2-4-4001-2-2111000000022-1-1-1-11100000000000000000000000000000000000000000000000
χ75888-4-8-8-48-8-2-4-4-444-2-2-244001221110000000-2211-1-1-1-100000000000000000000000000000000000000000000000
χ76888-4-8-8-4-88-2-444-4-4-2-2-2440012211100000002-2-1-111-1-100000000000000000000000000000000000000000000000
χ7788-888-8800-2-80000-2228-800-2-2222-20000000000000-2200000000000000000000000000000000000000000000000
χ7888-88-88800-2-80000-222-8800-22-222-200000000000002-200000000000000000000000000000000000000000000000
χ7988-8-48-8-400-24−4i34i3−4i34i3-222-44001-22-1-11000000000i3−i3i3−i31-100000000000000000000000000000000000000000000000
χ8088-8-48-8-400-244i3−4i34i3−4i3-222-44001-22-1-11000000000−i3i3−i3i31-100000000000000000000000000000000000000000000000
χ8188-8-4-88-400-24−4i34i34i3−4i3-2224-40012-2-1-11000000000i3−i3−i3i3-1100000000000000000000000000000000000000000000000
χ8288-8-4-88-400-244i3−4i3−4i34i3-2224-40012-2-1-11000000000−i3i3i3−i3-1100000000000000000000000000000000000000000000000
χ838-80800-800-2000002−25250000-200−25252000004-4000000000000000000000000000000000000000000−1−51+5−1+51−5000000000
χ848-80800-800-2000002−25250000-200−2525200000-440000000000000000000000000000000000000000001+5−1−51−5−1+5000000000
χ858-80800-800-200000225−250000-20025−252000004-4000000000000000000000000000000000000000000−1+51−5−1−51+5000000000
χ868-80800-800-200000225−250000-20025−25200000-440000000000000000000000000000000000000000001−5−1+51+5−1−5000000000
χ878-80-400400800000-800008i−8i-400004000−4i4i000000000000000000000000000000000000000000000000000000000
χ888-80-400400800000-80000−8i8i-4000040004i−4i000000000000000000000000000000000000000000000000000000000
χ8916-160-800800-4000004−4545000020025−25-200000000000000000000000000000000000000000000000000000000000000
χ9016-160-800800-400000445−450000200−2525-200000000000000000000000000000000000000000000000000000000000000

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