Finite Group Databasebeta

← Group #4216

Character table — Group #4216

Order 162.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size122229122229122229122229122229122229122229122229122229
order133332333336333336333336333336333336333336333336333336
χ1111111111111111111111111111111111111111111111111111111
χ211111-111111-111111-111111-111111-111111-111111-111111-111111-1
χ322-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10
χ42-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10
χ52-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10
χ62-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120
χ7111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ811111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ922-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320
χ102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320
χ112-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320
χ122-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30
χ13111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1411111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ1522-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320
χ162-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320
χ172-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320
χ182-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30
χ19111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2011111-111111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ2122-1-1-1022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320
χ222-12-1-102-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320
χ232-1-12-102-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320
χ242-1-1-1202-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30
χ25111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ2722-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-10−1−i3−1−i31+i321+i321+i32022-1-1-10−1+i3−1+i31−i321−i321−i320
χ282-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-10−1−i31+i32−1−i31+i321+i3202-12-1-10−1+i31−i32−1+i31−i321−i320
χ292-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-10−1−i31+i321+i32−1−i31+i3202-1-12-10−1+i31−i321−i32−1+i31−i320
χ302-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-120−1−i31+i321+i321+i32−1−i302-1-1-120−1+i31−i321−i321−i32−1+i30
χ31111111−1−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+i32−1+i32−1+i32111111−1−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+i32−1+i32−1+i32111111
χ3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1
χ3322-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i32022-1-1-10−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-10
χ342-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i3202-12-1-10−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-10
χ352-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i3202-1-12-10−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-10
χ362-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i302-1-1-120−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-120
χ37111111111111111111−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3811111-111111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ3922-1-1-1022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320
χ402-12-1-102-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320
χ412-1-12-102-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320
χ422-1-1-1202-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30
χ43111111−1+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−i32−1−i32−1−i32111111−1+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−i32−1−i32−1−i32111111
χ4411111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-1
χ4522-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−1−i3−1−i31+i321+i321+i32022-1-1-10−1+i3−1+i31−i321−i321−i320−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-10
χ462-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−1−i31+i32−1−i31+i321+i3202-12-1-10−1+i31−i32−1+i31−i321−i320−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-10
χ472-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−1−i31+i321+i32−1−i31+i3202-1-12-10−1+i31−i321−i32−1+i31−i320−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-10
χ482-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−1−i31+i321+i321+i32−1−i302-1-1-120−1+i31−i321−i321−i32−1+i30−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-120
χ49111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5011111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ5122-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-10−1+i3−1+i31−i321−i321−i32022-1-1-10−1−i3−1−i31+i321+i321+i320
χ522-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-10−1+i31−i32−1+i31−i321−i3202-12-1-10−1−i31+i32−1−i31+i321+i320
χ532-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-10−1+i31−i321−i32−1+i31−i3202-1-12-10−1−i31+i321+i32−1−i31+i320
χ542-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-120−1+i31−i321−i321−i32−1+i302-1-1-120−1−i31+i321+i321+i32−1−i30

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