Finite Group Databasebeta

← Group #6049

Character table — Group #6049

Order 200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1122222222222222222222222222222222222222222222222225050
order12255555555555510101010101010101010101010101010101010101010101010101010101010101010101024
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1
χ311-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1
χ411-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200
χ622222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200
χ7222−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200
χ8222−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+5200
χ9222−1+52−1−52−1+52−1−522−1−52−1+52−1−52−1−52−1+52−1+522−1+52−1−52−1+52−1−522−1−52−1+52−1−52−1−52−1+52−1+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200
χ10222−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−522−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−522−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−5222−1−52−1−52−1+52−1+5200
χ11222−1+52−1−52−1−52−1−52−1+52−1+522−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+522−1+522−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−5200
χ12222−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200
χ13222−1−52−1+52−1+52−1+52−1−52−1−522−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−522−1−522−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+5200
χ14222−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+522−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+522−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+5222−1+52−1+52−1−52−1−5200
χ15222−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−5200
χ16222−1−52−1+52−1−52−1+522−1+52−1−52−1+52−1+52−1−52−1−522−1−52−1+52−1−52−1+522−1+52−1−52−1+52−1+52−1−52−1−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200
χ1722-222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+5200
χ1822-222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−5200
χ1922-2−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+5200
χ2022-2−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1−522−1+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521+521+521−521−521+521+52-2-21−521−5200
χ2122-2−1+52−1−52−1+52−1−522−1−52−1+52−1−52−1−52−1+52−1+522−1+52−1−52−1+52−1−522−1−52−1+52−1−52−1−52−1+52−1+5221−521−521+521+521−521−521+521+52-2-21+521+521−521−521+521+521+521+521−521−521−521−52-2-200
χ2222-2−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−522−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−522−1−52−1+521−521−521+521+521+521+521−521−521+521+52-2-21−521−521−521−521+521+52-2-21+521+521−521−5200
χ2322-2−1+52−1−52−1−52−1−52−1+52−1+522−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+522−1+522−1−52−1+52−1−521−521−521+521+521+521+521+521+521−521−521−521−52-2-21−521−52-2-21+521+521−521−521+521+5200
χ2422-2−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−5200
χ2522-2−1−52−1+52−1+52−1+52−1−52−1−522−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−522−1−522−1+52−1−52−1+521+521+521−521−521−521−521−521−521+521+521+521+52-2-21+521+52-2-21−521−521+521+521−521−5200
χ2622-2−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+522−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+522−1+52−1−521+521+521−521−521−521−521+521+521−521−52-2-21+521+521+521+521−521−52-2-21−521−521+521+5200
χ2722-2−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1+522−1−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521−521−521+521+521−521−52-2-21+521+5200
χ2822-2−1−52−1+52−1−52−1+522−1+52−1−52−1+52−1+52−1−52−1−522−1−52−1+52−1−52−1+522−1+52−1−52−1+52−1+52−1−52−1−5221+521+521−521−521+521+521−521−52-2-21−521−521+521+521−521−521−521−521+521+521+521+52-2-200
χ292-20222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ302-2022−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521+521+521+521+521+520000ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ300
χ312-2022−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521+521+521+521+521+520000−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ300
χ322-2022−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521−521−521−521−521−520000ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ400
χ332-2022−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521−521−521−521−521−520000−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ400
χ342-20−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52-21−521−521+521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ300ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ300
χ352-20−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52-21−521−521+521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ300−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ300
χ362-20−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1−522−1+521−521+521−52-21+521−521+521+521−521+52-21−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ300ζ−ζ4−ζ+ζ400
χ372-20−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1−522−1+521−521+521−52-21+521−521+521+521−521+52-21−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ300−ζ+ζ4ζ−ζ400
χ382-20−1+52−1−52−1+52−1−522−1−52−1+52−1−52−1−52−1+52−1+5221−521+521−521+52-21+521−521+521+521−521−52-2ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ40000
χ392-20−1+52−1−52−1+52−1−522−1−52−1+52−1−52−1−52−1+52−1+5221−521+521−521+52-21+521−521+521+521−521−52-2−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ40000
χ402-20−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−522−1−52−1+521−521+521+521−521+52-21−521−521+52-21+521−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ300ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ400
χ412-20−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−522−1−52−1+521−521+521+521−521+52-21−521−521+52-21+521−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ300−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ400
χ422-20−1+52−1−52−1−52−1−52−1+52−1+522−1+522−1−52−1+52−1−521−521+521+521+521−521−52-21−52-21+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ400−ζ+ζ4ζ−ζ400−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300
χ432-20−1+52−1−52−1−52−1−52−1+52−1+522−1+522−1−52−1+52−1−521−521+521+521+521−521−52-21−52-21+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ400ζ−ζ4−ζ+ζ400ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300
χ442-20−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ400ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ400
χ452-20−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52-21+521+521−521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ400−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ400
χ462-20−1−52−1+52−1+52−1+52−1−52−1−522−1−522−1+52−1−52−1+521+521−521−521−521+521+52-21+52-21−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ300−ζ2+ζ3ζ2−ζ300ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400
χ472-20−1−52−1+52−1+52−1+52−1−52−1−522−1−522−1+52−1−52−1+521+521−521−521−521+521+52-21+52-21−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ300ζ2−ζ3−ζ2+ζ300−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400
χ482-20−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+522−1+52−1−521+521−521−521+521−52-21+521+521−52-21−521+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ400ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ300
χ492-20−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+522−1+52−1−521+521−521−521+521−52-21+521+521−52-21−521+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ400−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ300
χ502-20−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1+522−1−521+521−521+52-21−521+521−521−521+521−52-21+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ400ζ2−ζ3−ζ2+ζ300
χ512-20−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1+522−1−521+521−521+52-21−521+521−521−521+521−52-21+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ400−ζ2+ζ3ζ2−ζ300
χ522-20−1−52−1+52−1−52−1+522−1+52−1−52−1+52−1+52−1−52−1−5221+521−521+521−52-21−521+521−521−521+521+52-2ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ30000
χ532-20−1−52−1+52−1−52−1+522−1+52−1−52−1+52−1+52−1−52−1−5221+521−521+521−52-21−521+521−521−521+521+52-2−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ30000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).