Finite Group Databasebeta

← Group #13062194

Character table — Group #13062194

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111666666777712121212121228282828282828282828282828282828424211116666667777121212121212282828282828282828282828282828284242
order124424714282822441414142828283366666612121212121212122422442414142828224414141428282866666666121212121212121224
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211
χ311111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211
χ41111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1
χ51111111111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11111111111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1
χ61111111111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11111111111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1
χ711-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11
χ811-1-1-1111-1-111-1-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1111-1-1-1111-1-111-1-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11
χ911-1-1-1111-1-111-1-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1111-1-1-1111-1-111-1-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11
χ1011-1-1-1111-1-1-1-111-1-1-111111-1-1-1-111-1-111-1-1111-111-1-1-1111-1-1-1-111-1-1-111111-1-1-1-111-1-111-1-1111-1
χ1111-1-1-1111-1-1-1-111-1-1-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-111-1-1-1111-1-1-1-111-1-1-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1
χ1211-1-1-1111-1-1-1-111-1-1-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-111-1-1-1111-1-1-1-111-1-1-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1
χ132-22i−2i002-22i−2i2-22i−2i000000-1-11-11-111i−ii−ii−ii−i002-22i−2i002-22i−2i2-22i−2i000000-1-11-11-111i−ii−ii−ii−i00
χ142-22i−2i002-22i−2i2-22i−2i0000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79002-22i−2i002-22i−2i2-22i−2i0000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7900
χ152-22i−2i002-22i−2i2-22i−2i0000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83002-22i−2i002-22i−2i2-22i−2i0000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ8300
χ162-22i−2i002-22i−2i-22−2i2i000000-1-1-11-1111i−i−iii−i−ii002-22i−2i002-22i−2i-22−2i2i000000-1-1-11-1111i−i−iii−i−ii00
χ172-22i−2i002-22i−2i-22−2i2i0000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79002-22i−2i002-22i−2i-22−2i2i0000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ7900
χ182-22i−2i002-22i−2i-22−2i2i0000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83002-22i−2i002-22i−2i-22−2i2i0000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ8300
χ192-2−2i2i002-2−2i2i2-2−2i2i000000-1-11-11-111−ii−ii−ii−ii002-2−2i2i002-2−2i2i2-2−2i2i000000-1-11-11-111−ii−ii−ii−ii00
χ202-2−2i2i002-2−2i2i2-2−2i2i0000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79002-2−2i2i002-2−2i2i2-2−2i2i0000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ7900
χ212-2−2i2i002-2−2i2i2-2−2i2i0000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83002-2−2i2i002-2−2i2i2-2−2i2i0000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ8300
χ222-2−2i2i002-2−2i2i-222i−2i000000-1-1-11-1111−iii−i−iii−i002-2−2i2i002-2−2i2i-222i−2i000000-1-1-11-1111−iii−i−iii−i00
χ232-2−2i2i002-2−2i2i-222i−2i0000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79002-2−2i2i002-2−2i2i-222i−2i0000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7900
χ242-2−2i2i002-2−2i2i-222i−2i0000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83002-2−2i2i002-2−2i2i-222i−2i0000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ8300
χ253333-1-133333333-1-1-1-1-1-10000000000000000-1-13333-1-133333333-1-1-1-1-1-10000000000000000-1-1
χ263333-1-13333-3-3-3-3-1-1-1-1-1-10000000000000000113333-1-13333-3-3-3-3-1-1-1-1-1-1000000000000000011
χ2733-3-31-133-3-333-3-3111-1-1-100000000000000001-133-3-31-133-3-333-3-3111-1-1-100000000000000001-1
χ2833-3-31-133-3-3-3-333111-1-1-10000000000000000-1133-3-31-133-3-3-3-333111-1-1-10000000000000000-11
χ29666666-1-1-1-10000-1-1-1-1-1-1000000000000000000666666-1-1-1-10000-1-1-1-1-1-1000000000000000000
χ306666-2-2-1-1-1-10000ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ820000000000000000006666-2-2-1-1-1-10000ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82000000000000000000
χ316666-2-2-1-1-1-10000−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ820000000000000000006666-2-2-1-1-1-10000−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82000000000000000000
χ326666-2-2-1-1-1-10000−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ820000000000000000006666-2-2-1-1-1-10000−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82−ζ2+ζ10−ζ22−ζ26−ζ34+ζ38+ζ46−ζ50−ζ58−ζ62+ζ74−ζ82ζ2−ζ10−ζ22+ζ26−ζ34−ζ38−ζ46−ζ50+ζ58−ζ62−ζ74+ζ82−ζ2−ζ10+ζ22−ζ26+ζ34−ζ38−ζ46+ζ50−ζ58+ζ62−ζ74−ζ82000000000000000000
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χ7512-1212i−12i00-22−2i2i0000000000000000000000000000-1212−12i12i002-22i−2i0000000000000000000000000000
χ7612-12−12i12i00-222i−2i0000000000000000000000000000-121212i−12i002-2−2i2i0000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.