Finite Group Databasebeta

← Group #64385

Character table — Group #64385

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size136681366813668136681366813668136681366813668136681366813668
order12243366123366123222466661266661262224666612666612622246666126666126
χ1111111111111111111111111111111111111111111111111111111111111
χ211-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11
χ32200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-1
χ43-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10
χ53-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110
χ611111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ711-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32
χ82200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32
χ93-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320
χ103-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320
χ1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32
χ132200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32
χ143-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320
χ153-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1711-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-1
χ182200-12200-12200-1-2-2001-2-2001-2-20012200-12200-12200-1-2-2001-2-2001-2-2001
χ193-11-103-11-103-11-10-31-110-31-110-31-1103-11-103-11-103-11-10-31-110-31-110-31-110
χ203-1-1103-1-1103-1-110-311-10-311-10-311-103-1-1103-1-1103-1-110-311-10-311-10-311-10
χ2111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32
χ2211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32-1-111-11−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32-1-111-11−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i32
χ232200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32-2-20011−i31−i300−1+i321+i31+i300−1−i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32-2-20011−i31−i300−1+i321+i31+i300−1−i32
χ243-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320-31-1103−3i32−1+i321−i32−1+i3203+3i32−1−i321+i32−1−i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320-31-1103−3i32−1+i321−i32−1+i3203+3i32−1−i321+i32−1−i320
χ253-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320-311-103−3i32−1+i32−1+i321−i3203+3i32−1−i32−1−i321+i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320-311-103−3i32−1+i32−1+i321−i3203+3i32−1−i32−1−i321+i320
χ2611111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32
χ2711-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32-1-111-11+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32-1-111-11+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i32
χ282200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32-2-20011+i31+i300−1−i321−i31−i300−1+i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32-2-20011+i31+i300−1−i321−i31−i300−1+i32
χ293-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320-31-1103+3i32−1−i321+i32−1−i3203−3i32−1+i321−i32−1+i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320-31-1103+3i32−1−i321+i32−1−i3203−3i32−1+i321−i32−1+i320
χ303-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320-311-103+3i32−1−i32−1−i321+i3203−3i32−1+i32−1+i321−i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320-311-103+3i32−1−i32−1−i321+i3203−3i32−1+i32−1+i321−i320
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211-1-1111-1-1111-1-1111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1
χ332200-12200-12200-12200-12200-12200-1-2-2001-2-2001-2-2001-2-2001-2-2001-2-2001
χ343-11-103-11-103-11-103-11-103-11-103-11-10-31-110-31-110-31-110-31-110-31-110-31-110
χ353-1-1103-1-1103-1-1103-1-1103-1-1103-1-110-311-10-311-10-311-10-311-10-311-10-311-10
χ3611111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32
χ3711-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32-1-111-11−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i32-1-111-11−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i32
χ382200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32-2-20011−i31−i300−1+i321+i31+i300−1−i32-2-20011−i31−i300−1+i321+i31+i300−1−i32
χ393-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320-31-1103−3i32−1+i321−i32−1+i3203+3i32−1−i321+i32−1−i320-31-1103−3i32−1+i321−i32−1+i3203+3i32−1−i321+i32−1−i320
χ403-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320-311-103−3i32−1+i32−1+i321−i3203+3i32−1−i32−1−i321+i320-311-103−3i32−1+i32−1+i321−i3203+3i32−1−i32−1−i321+i320
χ4111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32
χ4211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32-1-111-11+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i32-1-111-11+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i32
χ432200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32-2-20011+i31+i300−1−i321−i31−i300−1+i32-2-20011+i31+i300−1−i321−i31−i300−1+i32
χ443-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320-31-1103+3i32−1−i321+i32−1−i3203−3i32−1+i321−i32−1+i320-31-1103+3i32−1−i321+i32−1−i3203−3i32−1+i321−i32−1+i320
χ453-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320-311-103+3i32−1−i32−1−i321+i3203−3i32−1+i32−1+i321−i320-311-103+3i32−1−i32−1−i321+i3203−3i32−1+i32−1+i321−i320
χ46111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ4711-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-111-1-1111-1-1111-1-11
χ482200-12200-12200-1-2-2001-2-2001-2-2001-2-2001-2-2001-2-20012200-12200-12200-1
χ493-11-103-11-103-11-10-31-110-31-110-31-110-31-110-31-110-31-1103-11-103-11-103-11-10
χ503-1-1103-1-1103-1-110-311-10-311-10-311-10-311-10-311-10-311-103-1-1103-1-1103-1-110
χ5111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321−i321−i321+i321+i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32-1-111-11−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i32-1-111-11−i321−i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i321+i3211-1-11−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32
χ532200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32-2-20011−i31−i300−1+i321+i31+i300−1−i32-2-20011−i31−i300−1+i321+i31+i300−1−i322200-1−1+i3−1+i3001−i32−1−i3−1−i3001+i32
χ543-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320-31-1103−3i32−1+i321−i32−1+i3203+3i32−1−i321+i32−1−i320-31-1103−3i32−1+i321−i32−1+i3203+3i32−1−i321+i32−1−i3203-11-10−3+3i321−i32−1+i321−i320−3−3i321+i32−1−i321+i320
χ553-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320-311-103−3i32−1+i32−1+i321−i3203+3i32−1−i32−1−i321+i320-311-103−3i32−1+i32−1+i321−i3203+3i32−1−i32−1−i321+i3203-1-110−3+3i321−i321−i32−1+i320−3−3i321+i321+i32−1−i320
χ5611111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321+i321+i321−i321−i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5711-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32-1-111-11+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i32-1-111-11+i321+i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i321−i3211-1-11−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32
χ582200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32-2-20011+i31+i300−1−i321−i31−i300−1+i32-2-20011+i31+i300−1−i321−i31−i300−1+i322200-1−1−i3−1−i3001+i32−1+i3−1+i3001−i32
χ593-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320-31-1103+3i32−1−i321+i32−1−i3203−3i32−1+i321−i32−1+i320-31-1103+3i32−1−i321+i32−1−i3203−3i32−1+i321−i32−1+i3203-11-10−3−3i321+i32−1−i321+i320−3+3i321−i32−1+i321−i320
χ603-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320-311-103+3i32−1−i32−1−i321+i3203−3i32−1+i32−1+i321−i320-311-103+3i32−1−i32−1−i321+i3203−3i32−1+i32−1+i321−i3203-1-110−3−3i321+i321+i32−1−i320−3+3i321−i321−i32−1+i320

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