Finite Group Databasebeta

← Group #14512784

Character table — Group #14512784

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444466668888888810101010121212121212121216161616161616161616161616161616242424242424242424242424242424242424242440404040404040406060120120120120
order1222445510101010101020202020444436661212121244442020202020202020151530303030303060606060606060602488101010102020202040404040404040401212121212121212242488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-11
χ71111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11
χ81111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-111-1
χ92222222222222222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1220000
χ102222222222222222222222-1-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011111111-2-20000
χ11222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222220000−1−52−1−52−1+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+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+5200000000000000
χ12222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222220000−1−52−1−52−1+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+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ13222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222220000−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−5200000000000000
χ14222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222220000−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ152222-2-222222222-2-2-2-2-2-222-1-1-1-1111122-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111100000000000000000000-1-1-1-111112-20000
χ162222-2-222222222-2-2-2-2-2-222-1-1-1-11111-2-222-2-2-2-22222-1-1-1-1-1-1-1-111111111000000000000000000001111-1-1-1-1-220000
χ172222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-2222222-2-2-2-200001+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ182222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-2222222-2-2-2-200001+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ192222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-2222222-2-2-2-200001−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ202222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-2222222-2-2-2-200001−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2122-2-22i−2i22-2-222-2-22i−2i2i−2i2i−2i2-22-22-22i2i−2i−2i00002i−2i2i−2i2-22-2222-22-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2222-2-22i−2i22-2-222-2-22i−2i2i−2i2i−2i2-2-11-11−i−iii00002i−2i2i−2i2-22-2-1-1-11-1111−i−iii−i−iii00000000000000000000−i3−i3i3i333−3−3000000
χ2322-2-22i−2i22-2-222-2-22i−2i2i−2i2i−2i2-2-11-11−i−iii00002i−2i2i−2i2-22-2-1-1-11-1111−i−iii−i−iii00000000000000000000i3i3−i3−i3−3−333000000
χ2422-2-22i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472i−2i2-22-22-22i2i−2i−2i0000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
χ2522-2-22i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472i−2i2-22-22-22i2i−2i−2i0000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
χ2622-2-22i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592i−2i2-22-22-22i2i−2i−2i0000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000
χ2722-2-22i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592i−2i2-22-22-22i2i−2i−2i0000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000
χ2822-2-2−2i2i22-2-222-2-2−2i2i−2i2i−2i2i2-22-22-2−2i−2i2i2i0000−2i2i−2i2i2-22-2222-22-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2922-2-2−2i2i22-2-222-2-2−2i2i−2i2i−2i2i2-2-11-11ii−i−i0000−2i2i−2i2i2-22-2-1-1-11-1111ii−i−iii−i−i00000000000000000000−i3−i3i3i3−3−333000000
χ3022-2-2−2i2i22-2-222-2-2−2i2i−2i2i−2i2i2-2-11-11ii−i−i0000−2i2i−2i2i2-22-2-1-1-11-1111ii−i−iii−i−i00000000000000000000i3i3−i3−i333−3−3000000
χ3122-2-2−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−2i2i2-22-22-2−2i−2i2i2i0000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
χ3222-2-2−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−2i2i2-22-22-2−2i−2i2i2i0000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
χ3322-2-2−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−2i2i2-22-22-2−2i−2i2i2i0000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000
χ3422-2-2−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−2i2i2-22-22-2−2i−2i2i2i0000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000000000
χ35333333333333333333-1-1-1-1000000003333-1-1-1-1-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-100000000-1-111-1-1
χ36333333333333333333-1-1-1-1000000003333-1-1-1-1-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-11111111100000000-1-1-1-111
χ37333333333333333333-1-1-1-100000000-3-3-3-3-1-1-1-1-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-10000000011-1-111
χ38333333333333333333-1-1-1-100000000-3-3-3-3-1-1-1-1-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-111111111000000001111-1-1
χ393333-3-333333333-3-3-3-311-1-10000000033-3-31111-1-1-1-100000000000000001-1-111111-1-1-1-1-1-1-1-1111100000000-11-11-11
χ403333-3-333333333-3-3-3-311-1-10000000033-3-31111-1-1-1-10000000000000000-111-1-1-1-1-111111111-1-1-1-100000000-111-11-1
χ413333-3-333333333-3-3-3-311-1-100000000-3-3331111-1-1-1-100000000000000001-1-111111-1-1-1-1-1-1-1-11111000000001-11-11-1
χ423333-3-333333333-3-3-3-311-1-100000000-3-3331111-1-1-1-10000000000000000-111-1-1-1-1-111111111-1-1-1-1000000001-1-11-11
χ43444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54444-2-2-2-2-2-2-2-20000−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−521+521+521+521+521−521−521−521−520000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.