Finite Group Databasebeta

← Group #14513967

Character table — Group #14513967

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222266666612121212121212121212121212121212121212121212323232323232323232323232323232323232323260606060120120120120120120
order1222551010101010102244442210101010101010101010101020202020202020203666151515153030303030303030303030304444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31-11-111-1-1-1-1111-111-1-11-1111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−iii−i−i
χ41-11-111-1-1-1-1111-111-1-11-1111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii−i−iii
χ52222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ62222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1+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+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+520000000000
χ72222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1+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+52-1-1-1-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ580000000000
χ82222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1+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+52-1-1-1-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ380000000000
χ92222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
χ102222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52-1-1-1-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ340000000000
χ112222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52-1-1-1-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ460000000000
χ122-22-222-2-2-2-2222-222-2-22-2222222-2-2-2-2-2-22222-2-2-2-2-1-111-1-1-1-1-1-1-1-1111111110000000000
χ132-22-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000000000
χ142-22-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-1-111−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ580000000000
χ152-22-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-1-111−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ380000000000
χ162-22-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000000000
χ172-22-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-1-111−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ340000000000
χ182-22-2−1+52−1−521−521−521+521+52−1+52−1−522-222-2-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-1-111−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ460000000000
χ1933333333333333-1-1-1-1-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-100000000000000000000111111-1-1-1-1
χ2033333333333333-1-1-1-1-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-11111
χ21333333333333-1-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13-1000000000000000000001111-1-11-11-1
χ22333333333333-1-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13-100000000000000000000-1-1-1-111-11-11
χ23333333333333-1-1-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-13000000000000000000001111-1-1-11-11
χ24333333333333-1-1-13-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-13-13-1300000000000000000000-1-1-1-1111-11-1
χ253-33-333-3-3-3-3333-3-1-111-113-1-13-1-1-311-311-1-1-1-1111100000000000000000000ii−i−ii−i−i−iii
χ263-33-333-3-3-3-3333-3-1-111-113-1-13-1-1-311-311-1-1-1-1111100000000000000000000−i−iii−iiii−i−i
χ273-33-333-3-3-3-333-113-1-31-11-1-1-1-1-1-11111113-13-1-31-3100000000000000000000ii−i−i−iii−i−ii
χ283-33-333-3-3-3-333-113-1-31-11-1-1-1-1-1-11111113-13-1-31-3100000000000000000000−i−iiii−i−iii−i
χ293-33-333-3-3-3-333-11-131-3-11-1-1-1-1-1-1111111-13-131-31-300000000000000000000ii−i−i−ii−iii−i
χ303-33-333-3-3-3-333-11-131-3-11-1-1-1-1-1-1111111-13-131-31-300000000000000000000−i−iiii−ii−i−ii
χ3144-4-4444-44-4-4-400000000000000000000000000001-11-11111-1-1-1-11-11-11-11-12i−2i2i−2i000000
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χ344-4-4444-44-44-4-400000000000000000000000000001-1-111111-1-1-1-1-11-11-11-11-222-2000000
χ35666666666666-2-2-2-2-2-222-222-222-222-222-2-2-2-2-2-2-2-2000000000000000000000000000000
χ366666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+35266-2-2-2-2-2-2−3−3521+521+52−3+3521−521−52−3−3521+521+52−3+3521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000
χ376666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352-2-26-26-2-2-21+521+521+521−521−521−521+521+521+521−521−521−52−3−3521+52−3+3521−52−3−3521+52−3+3521−52000000000000000000000000000000
χ386666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352-2-2-26-26-2-21+521+521+521−521−521−521+521+521+521−521−521−521+52−3−3521−52−3+3521+52−3−3521−52−3+352000000000000000000000000000000
χ396666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352-2-2-2-2-2-2221+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+521+521−521−521+521+521−521−52000000000000000000000000000000
χ406666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352-2-2-2-2-2-2221+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+521+521−521−521+521+521−521−52000000000000000000000000000000
χ416666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−35266-2-2-2-2-2-2−3+3521−521−52−3−3521+521+52−3+3521−521−52−3−3521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000
χ426666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352-2-26-26-2-2-21−521−521−521+521+521+521−521−521−521+521+521+52−3+3521−52−3−3521+52−3+3521−52−3−3521+52000000000000000000000000000000
χ436666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352-2-2-26-26-2-21−521−521−521+521+521+521−521−521−521+521+521+521−52−3+3521+52−3−3521−52−3+3521+52−3−352000000000000000000000000000000
χ446666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352-2-2-2-2-2-2221−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−521−521+521+521−521−521+521+52000000000000000000000000000000
χ456666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352-2-2-2-2-2-2221−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−521−521+521+521−521−521+521+52000000000000000000000000000000
χ466-66-666-6-6-6-666-22-2-2222-2-222-2222-2-22-2-2-2-2-2-22222000000000000000000000000000000
χ476-66-6−3−352−3+3523+3523+3523−3523−352−3−352−3+3526-6-2-222-22−3−3521+521+52−3+3521−521−523+352−1−52−1−523−352−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ486-66-6−3−352−3+3523+3523+3523−3523−352−3−352−3+352-226-2-62-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52−3−3521+52−3+3521−523+352−1−523−352−1+52000000000000000000000000000000
χ496-66-6−3−352−3+3523+3523+3523−3523−352−3−352−3+352-22-262-6-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+52−3−3521−52−3+352−1−523+352−1+523−352000000000000000000000000000000
χ506-66-6−3−352−3+3523+3523+3523−3523−352−3−352−3+352-22-2-2222-21+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ461−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ58−1−52ζ14−3ζ26+ζ34−3ζ46−3ζ14+ζ26−3ζ34+ζ46−1+52−3ζ2−3ζ22+ζ38+ζ58ζ2+ζ22−3ζ38−3ζ581+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ516-66-6−3−352−3+3523+3523+3523−3523−352−3−352−3+352-22-2-2222-21+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ461−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ58−1−52−3ζ14+ζ26−3ζ34+ζ46ζ14−3ζ26+ζ34−3ζ46−1+52ζ2+ζ22−3ζ38−3ζ58−3ζ2−3ζ22+ζ38+ζ581+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000
χ526-66-6−3+352−3−3523−3523−3523+3523+352−3+352−3−3526-6-2-222-22−3+3521−521−52−3−3521+521+523−352−1+52−1+523+352−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ536-66-6−3+352−3−3523−3523−3523+3523+352−3+352−3−352-226-2-62-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−3+3521−52−3−3521+523−352−1+523+352−1−52000000000000000000000000000000
χ546-66-6−3+352−3−3523−3523−3523+3523+352−3+352−3−352-22-262-6-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−52−3+3521+52−3−352−1+523−352−1−523+352000000000000000000000000000000
χ556-66-6−3+352−3−3523−3523−3523+3523+352−3+352−3−352-22-2-2222-21−523ζ2+3ζ22−ζ38−ζ58−ζ2−ζ22+3ζ38+3ζ581+523ζ14−ζ26+3ζ34−ζ46−ζ14+3ζ26−ζ34+3ζ46−1+52−3ζ2−3ζ22+ζ38+ζ58ζ2+ζ22−3ζ38−3ζ58−1−52−3ζ14+ζ26−3ζ34+ζ46ζ14−3ζ26+ζ34−3ζ461−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ566-66-6−3+352−3−3523−3523−3523+3523+352−3+352−3−352-22-2-2222-21−52−ζ2−ζ22+3ζ38+3ζ583ζ2+3ζ22−ζ38−ζ581+52−ζ14+3ζ26−ζ34+3ζ463ζ14−ζ26+3ζ34−ζ46−1+52ζ2+ζ22−3ζ38−3ζ58−3ζ2−3ζ22+ζ38+ζ58−1−52ζ14−3ζ26+ζ34−3ζ46−3ζ14+ζ26−3ζ34+ζ461−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000
χ5788-8-8888-88-8-8-80000000000000000000000000000-11-11-1-1-1-11111-11-11-11-110000000000
χ5888-8-8−2−25−2+25−2−252+25−2+252−252+252−2500000000000000000000000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−521+52−1−521+52−1+521−52−1+521−520000000000
χ5988-8-8−2−25−2+25−2−252+25−2+252−252+252−250000000000000000000000000000-11-11−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−ζ26−ζ34ζ26+ζ34−ζ14−ζ46ζ14+ζ46−ζ22−ζ38ζ22+ζ38−ζ2−ζ58ζ2+ζ580000000000
χ6088-8-8−2−25−2+25−2−252+25−2+252−252+252−250000000000000000000000000000-11-11−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−ζ14−ζ46ζ14+ζ46−ζ26−ζ34ζ26+ζ34−ζ2−ζ58ζ2+ζ58−ζ22−ζ38ζ22+ζ380000000000
χ6188-8-8−2+25−2−25−2+252−25−2−252+252−252+2500000000000000000000000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+521−52−1+521−52−1−521+52−1−521+520000000000
χ6288-8-8−2+25−2−25−2+252−25−2−252+252−252+250000000000000000000000000000-11-11−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−ζ22−ζ38ζ22+ζ38−ζ2−ζ58ζ2+ζ58−ζ14−ζ46ζ14+ζ46−ζ26−ζ34ζ26+ζ340000000000
χ6388-8-8−2+25−2−25−2+252−25−2−252+252−252+250000000000000000000000000000-11-11−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−ζ2−ζ58ζ2+ζ58−ζ22−ζ38ζ22+ζ38−ζ26−ζ34ζ26+ζ34−ζ14−ζ46ζ14+ζ460000000000
χ648-8-8888-88-88-8-80000000000000000000000000000-111-1-1-1-1-111111-11-11-11-10000000000
χ658-8-88−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000000000002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+52−1−521+52−1−521−52−1+521−52−1+520000000000
χ668-8-88−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000-111-1−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34−ζ26−ζ34ζ14+ζ46−ζ14−ζ46ζ22+ζ38−ζ22−ζ38ζ2+ζ58−ζ2−ζ580000000000
χ678-8-88−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000000000-111-1−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38ζ14+ζ46−ζ14−ζ46ζ26+ζ34−ζ26−ζ34ζ2+ζ58−ζ2−ζ58ζ22+ζ38−ζ22−ζ380000000000
χ688-8-88−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000000000002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−52−1+521−52−1+521+52−1−521+52−1−520000000000
χ698-8-88−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000-111-1−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34ζ22+ζ38−ζ22−ζ38ζ2+ζ58−ζ2−ζ58ζ14+ζ46−ζ14−ζ46ζ26+ζ34−ζ26−ζ340000000000
χ708-8-88−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000000000-111-1−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46ζ2+ζ58−ζ2−ζ58ζ22+ζ38−ζ22−ζ38ζ26+ζ34−ζ26−ζ34ζ14+ζ46−ζ14−ζ460000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.