Finite Group Databasebeta

← Group #72268513

Character table — Group #72268513

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111111112121212121224242424242424242424242424242424242464646464646464646464646464646464
order122222224444442224444444444444443366666666666666
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111−1+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
χ311111111111111111111111111111111−1−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
χ4333333333333-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ53333333333-1-133-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-10000000000000000
χ63333333333-1-1-1-133-1-1-1-1-1-1-13-1-13-1-1-1-1-10000000000000000
χ73333333333-1-1-1-1-1-13-1-1-1-1-1-1-13-1-133-1-1-10000000000000000
χ83333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13330000000000000000
χ933333333-1-13333-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-10000000000000000
χ1033333333-1-133-1-13-13-1-1-13-1-1-1-1-1-1-1-13-1-10000000000000000
χ1133333333-1-133-1-1-13-1-1-1-1-13-1-1-1-1-13-1-13-10000000000000000
χ1233333333-1-133-1-1-1-1-1-1-1-1-1-13-1-1-13-13-1-130000000000000000
χ1333333333-1-1-1-1333-1-13-1-1-1-1-1-1-1-1-1-13-13-10000000000000000
χ1433333333-1-1-1-133-133-13-1-1-1-1-1-1-1-1-1-1-1-130000000000000000
χ1533333333-1-1-1-133-1-1-1-1-13-1-1-1-1-1-133-13-1-10000000000000000
χ1633333333-1-1-1-1-1-13-1-1-13-1-1-13-1-13-13-1-1-1-10000000000000000
χ1733333333-1-1-1-1-1-13-1-1-1-13-13-1-13-1-1-1-1-1-130000000000000000
χ1833333333-1-1-1-1-1-1-13-13-1-1-1-13-13-1-1-1-13-1-10000000000000000
χ1933333333-1-1-1-1-1-1-13-1-1-133-1-1-1-13-1-13-1-1-10000000000000000
χ2033333333-1-1-1-1-1-1-1-133-1-1-13-1-1-133-1-1-1-1-10000000000000000
χ2133333333-1-1-1-1-1-1-1-13-1-13-1-133-1-1-1-1-1-13-10000000000000000
χ2233333333-1-1-1-1-1-1-1-1-13-1-13-1-13-1-1-13-1-1-130000000000000000
χ2333333333-1-1-1-1-1-1-1-1-1-13-13-1-1-13-13-1-1-13-10000000000000000
χ2433333333-1-1-1-1-1-1-1-1-1-13-1-13-13-1-1-1-133-1-10000000000000000
χ25444-4-4-4-4400004-400000000000000000011111-1-1-1-1111-1-1-1-1
χ26444-4-4-4-4400004-4000000000000000000−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ27444-4-4-4-4400004-4000000000000000000−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ284-4-444-4-44004-400000000000000000000111-1-111-1-11-1-111-1-1
χ294-4-444-4-44004-400000000000000000000−1+i32−1−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ304-4-444-4-44004-400000000000000000000−1−i32−1+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ314-4-4-4-44444-40000000000000000000000111-1-1-1-1111-1-1-1-111
χ324-4-4-4-44444-40000000000000000000000−1+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ334-4-4-4-44444-40000000000000000000000−1−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ3488-88-88-8-8000000000000000000000000-1-111-11-11-111-11-11-1
χ3588-88-88-8-80000000000000000000000001−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3688-88-88-8-80000000000000000000000001+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ3788-8-88-88-8000000000000000000000000-1-111-1-11-1111-1-11-11
χ3888-8-88-88-80000000000000000000000001−i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ3988-8-88-88-80000000000000000000000001+i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ408-888-8-88-8000000000000000000000000-1-11-111-1-111-111-1-11
χ418-888-8-88-80000000000000000000000001−i321+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ428-888-8-88-80000000000000000000000001+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ438-88-888-8-8000000000000000000000000-1-11-11-111-11-11-111-1
χ448-88-888-8-80000000000000000000000001−i321+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ458-88-888-8-80000000000000000000000001+i321−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ46121212-12-12-12-12120000-440000000000000000000000000000000000
χ4712-12-121212-12-121200-44000000000000000000000000000000000000
χ4812-12-12-12-12121212-4400000000000000000000000000000000000000

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