Finite Group Databasebeta

← Group #14279071

Character table — Group #14279071

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122244444444558888888881010101616161616161616202020202020242440404040404040404040404040404848484860606060120120120120
order122362245666102261012152020303030266101030303030606022466688444461212121212121212124040404044444488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ311111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ51111111111111-1-1111111111-1-1-111111111-1-1-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111ii−i−ii−i-1-1
χ61111111111111-1-1111111111-1-1-111111111-1-1-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111−i−iii−ii-1-1
χ71111111111111-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii−ii11
χ81111111111111-1-1111111111-1-1-111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−ii−i11
χ9111111-1-111-1-111111-11-1-11111111-111-1-1-1-11-1-11-1-1i−ii−ii−i1-1ii−i−iii−i−iii−i−i1111-1-1i−i
χ10111111-1-111-1-111111-11-1-11111111-111-1-1-1-11-1-11-1-1i−i−ii−ii1-1−i−iii−i−iiiii−i−i-1-1-1-111i−i
χ11111111-1-111-1-111111-11-1-11111111-111-1-1-1-11-1-11-1-1−iii−ii−i1-1ii−i−iii−i−i−i−iii-1-1-1-111−ii
χ12111111-1-111-1-111111-11-1-11111111-111-1-1-1-11-1-11-1-1−ii−ii−ii1-1−i−iii−i−iii−i−iii1111-1-1−ii
χ13111111-1-111-1-11-1-111-11-1-1111-1-1-11-111-1-1-1-1-111-111i−i1-1-11-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-111-1-11-1-111-11-1-1111-1-1-11-111-1-1-1-1-111-111i−i-111-1-11-1-11111-1-1ii−i−iii−i−i−ii−ii
χ15111111-1-111-1-11-1-111-11-1-1111-1-1-11-111-1-1-1-1-111-111−ii1-1-11-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ16111111-1-111-1-11-1-111-11-1-1111-1-1-11-111-1-1-1-1-111-111−ii-111-1-11-1-11111-1-1−i−iii−i−iiii−ii−i
χ1722222-22-22222222-22-22-2-2222222-22-2-222-2-2-22-2222000000-2-200000000000000000000
χ1822222-22-222222-2-2-22-22-2-2222-2-2-2-22-2-222-2-22-22-2-2-20000002200000000000000000000
χ1922222-2-2222-2-2222-222222222222-2-2-2-2-2-222-2-222-2-2000000-2200000000000000000000
χ2022222-2-2222-2-22-2-2-222222222-2-2-2-2-2-2-2-2-22222-2-2220000002-200000000000000000000
χ21222-1-12222-1-1-1222-12-1-122-1-1-12-1-122-1-1-1-1-1-1222-1-1-1002222-1-1-1-1-1-1-1-1-1-1000000000000
χ22222-1-12222-1-1-1222-12-1-122-1-1-12-1-122-1-1-1-1-1-1222-1-1-100-2-2-2-2-1-111111111000000000000
χ23222-1-12222-1-1-12-2-2-12-1-122-1-1-1-21122-1-1-1-1-1-1-2-2-2111002i2i−2i−2i11−i−i−i−iiiii000000000000
χ24222-1-12222-1-1-12-2-2-12-1-122-1-1-1-21122-1-1-1-1-1-1-2-2-211100−2i−2i2i2i11iiii−i−i−i−i000000000000
χ25222-1-12-2-22-111222-121-1-2-2-1-1-12-1-12-2-1-111112-2-2-111002i−2i2i−2i-11−i−iii−i−iii000000000000
χ26222-1-12-2-22-111222-121-1-2-2-1-1-12-1-12-2-1-111112-2-2-11100−2i2i−2i2i-11ii−i−iii−i−i000000000000
χ27222-1-12-2-22-1112-2-2-121-1-2-2-1-1-1-2112-2-1-11111-2221-1-1002-2-221-1-1-11111-1-1000000000000
χ28222-1-12-2-22-1112-2-2-121-1-2-2-1-1-1-2112-2-1-11111-2221-1-100-222-21-111-1-1-1-111000000000000
χ29222-1-1-22-22-1-1-1222121-1-2-2-1-1-12-1-1-2211-1-111-22-2-1-1-100000011−i3i3−i3i3−i3i3−i3i3000000000000
χ30222-1-1-22-22-1-1-1222121-1-2-2-1-1-12-1-1-2211-1-111-22-2-1-1-100000011i3−i3i3−i3i3−i3i3−i3000000000000
χ31222-1-1-22-22-1-1-12-2-2121-1-2-2-1-1-1-211-2211-1-1112-22111000000-1-13−33−3−33−33000000000000
χ32222-1-1-22-22-1-1-12-2-2121-1-2-2-1-1-1-211-2211-1-1112-22111000000-1-1−33−333−33−3000000000000
χ33222-1-1-2-222-11122212-1-122-1-1-12-1-1-2-21111-1-1-2-22-1110000001-13−3−333−3−33000000000000
χ34222-1-1-2-222-11122212-1-122-1-1-12-1-1-2-21111-1-1-2-22-1110000001-1−333−3−333−3000000000000
χ35222-1-1-2-222-1112-2-212-1-122-1-1-1-211-2-21111-1-122-21-1-1000000-11−i3i3i3−i3i3−i3−i3i3000000000000
χ36222-1-1-2-222-1112-2-212-1-122-1-1-1-211-2-21111-1-122-21-1-1000000-11i3−i3−i3i3−i3i3i3−i3000000000000
χ3744444444-1444-1004-14-1-1-1-1-1-1000-1-1-1-1-1-1-1-10000004400000000000000-1-1-1-100000000
χ3844444444-1444-1004-14-1-1-1-1-1-1000-1-1-1-1-1-1-1-1000000-4-400000000000000111100000000
χ39444444-4-4-14-4-4-1004-1-4-111-1-1-1000-11-1-111110000004i−4i00000000000000−i−iii00000000
χ40444444-4-4-14-4-4-1004-1-4-111-1-1-1000-11-1-11111000000−4i4i00000000000000ii−i−i00000000
χ4144444-44-4-1444-100-4-1-4-111-1-1-10001-111-1-1110000000000000000000000−i5i5−i5i500000000
χ4244444-44-4-1444-100-4-1-4-111-1-1-10001-111-1-1110000000000000000000000i5−i5i5−i500000000
χ4344444-4-44-14-4-4-100-4-14-1-1-1-1-1-1000111111-1-10000000000000000000000−555−500000000
χ4444444-4-44-14-4-4-100-4-14-1-1-1-1-1-1000111111-1-100000000000000000000005−5−5500000000
χ4544-4440004-4004440-40400-4-44-44400000000000-4000000000000000000000000000000
χ4644-4440004-4004-4-40-40400-4-444-4-4000000000004000000000000000000000000000000
χ4744-4-2-200042−2i32i34440-40-20022-2-4-2-20000−2i32i3000002−2i32i30000000000000000000000000000
χ4844-4-2-200042−2i32i34-4-40-40-20022-24220000−2i32i300000-22i3−2i30000000000000000000000000000
χ4944-4-2-2000422i3−2i34440-40-20022-2-4-2-200002i3−2i30000022i3−2i30000000000000000000000000000
χ5044-4-2-2000422i3−2i34-4-40-40-20022-242200002i3−2i300000-2−2i32i30000000000000000000000000000
χ514-404-40004000-44-400040000-404-400000000000000000000000000000000002i−2i2i−2i0000
χ524-404-40004000-44-400040000-404-40000000000000000000000000000000000−2i2i−2i2i0000
χ534-404-40004000-4-4400040000-40-4400000000000000000000000000000000002-2-220000
χ544-404-40004000-4-4400040000-40-440000000000000000000000000000000000-222-20000
χ55888-4-4888-2-4-4-4-200-4-2-41-2-2111000-2-21111110000000000000000000000000000000000
χ56888-4-48-8-8-2-444-200-4-24122111000-2211-1-1-1-10000000000000000000000000000000000
χ57888-4-4-88-8-2-4-4-4-2004-241221110002-2-1-111-1-10000000000000000000000000000000000
χ58888-4-4-8-88-2-444-2004-2-41-2-211100022-1-1-1-1110000000000000000000000000000000000
χ5988-888000-2-800-200020-2−252522-2000000000−25250000000000000000000000000000000000
χ6088-888000-2-800-200020-225−2522-200000000025−250000000000000000000000000000000000
χ6188-8-4-4000-24−4i34i3-2000201−2525-1-1100000−i15i15i3−i35−50000000000000000000000000000000000
χ6288-8-4-4000-24−4i34i3-200020125−25-1-1100000i15−i15i3−i3−550000000000000000000000000000000000
χ6388-8-4-4000-244i3−4i3-2000201−2525-1-1100000i15−i15−i3i35−50000000000000000000000000000000000
χ6488-8-4-4000-244i3−4i3-200020125−25-1-1100000−i15i15−i3i3−550000000000000000000000000000000000
χ658-80-440008000-88-8000-4000040-44000000000000000000000000000000000000000000
χ668-80-440008000-8-88000-40000404-4000000000000000000000000000000000000000000
χ6716-16016-16000-4000400000-400004000000000000000000000000000000000000000000000
χ6816-160-88000-4000400000200−2i152i15-2000000000000000000000000000000000000000000000
χ6916-160-88000-40004000002002i15−2i15-2000000000000000000000000000000000000000000000

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