Finite Group Databasebeta

← Group #6781

Character table — Group #6781

Order 240.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11222255224444101033666615151122225522444410103366661515
order12551010443615153030121222101010104422101010104466303030301212221010101044
χ1111111111111111111111111111111111111111111111111
χ2111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1
χ31-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i
χ41-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii
χ522−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200
χ622−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200
χ72-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200
χ82-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ10111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111
χ111-111-1-1i−i1-111-1-1i−i-11-1-111−ii1-111-1-1i−i1-111-1-1i−i-11-1-111−ii
χ121-111-1-1−ii1-111-1-1−ii-11-1-111i−i1-111-1-1−ii1-111-1-1−ii-11-1-111i−i
χ1322−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200
χ1422−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200
χ152-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200
χ162-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200
χ1722222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000
χ18222222-2-2-1-1-1-1-1-11100000000222222-2-2-1-1-1-1-1-11100000000
χ192-222-2-22i−2i-11-1-111−ii000000002-222-2-22i−2i-11-1-111−ii00000000
χ202-222-2-2−2i2i-11-1-111i−i000000002-222-2-2−2i2i-11-1-111i−i00000000
χ2144−1+5−1−5−1+5−1−500-2-21−521+521−521+52000000000044−1+5−1−5−1+5−1−500-2-21−521+521−521+520000000000
χ2244−1−5−1+5−1−5−1+500-2-21+521−521+521−52000000000044−1−5−1+5−1−5−1+500-2-21+521−521+521−520000000000
χ234-4−1+5−1−51−51+500-221−521+52−1+52−1−5200000000004-4−1+5−1−51−51+500-221−521+52−1+52−1−520000000000
χ244-4−1−5−1+51+51−500-221+521−52−1−52−1+5200000000004-4−1−5−1+51+51−500-221+521−52−1−52−1+520000000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ271-111-1-1i−i1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii-11-1-111−ii
χ281-111-1-1−ii1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i-11-1-111i−i
χ2922−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+5200-2-21−521+521−521+5200
χ3022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−5200-2-21+521−521+521−5200
χ312-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200
χ322-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200
χ331111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ34111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ351-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii-11-1-111−ii1-111-1-1i−i
χ361-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i-11-1-111i−i1-111-1-1−ii
χ3722−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200
χ3822−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200
χ392-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200
χ402-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200
χ4122222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-21111111100000000
χ42222222-2-2-1-1-1-1-1-11100000000-2-2-2-2-2-222111111-1-100000000
χ432-222-2-22i−2i-11-1-111−ii00000000-22-2-222−2i2i1-111-1-1i−i00000000
χ442-222-2-2−2i2i-11-1-111i−i00000000-22-2-2222i−2i1-111-1-1−ii00000000
χ4544−1+5−1−5−1+5−1−500-2-21−521+521−521+520000000000-4-41−51+51−51+50022−1+52−1−52−1+52−1−520000000000
χ4644−1−5−1+5−1−5−1+500-2-21+521−521+521−520000000000-4-41+51−51+51−50022−1−52−1+52−1−52−1+520000000000
χ474-4−1+5−1−51−51+500-221−521+52−1+52−1−520000000000-441−51+5−1+5−1−5002-2−1+52−1−521−521+520000000000
χ484-4−1−5−1+51+51−500-221+521−52−1−52−1+520000000000-441+51−5−1−5−1+5002-2−1−52−1+521+521−520000000000

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