Finite Group Databasebeta

← Group #72227415

Character table — Group #72227415

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111133334444121212122424242424242424242424242424484864646464646464646464646464646464
order122222222222444422224444444444443366666666666666
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
χ411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ73333333333333333-1-1-1-1-1-1-1-133-1-1-1-1-1-10000000000000000
χ8333333333333-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13-10000000000000000
χ9333333333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-130000000000000000
χ10333333333333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-10000000000000000
χ11333333333333-1-1-1-1-1-1-1-1-1-133-1-1-1-133-1-10000000000000000
χ1233333333-3-3-3-33333-1-1-1-1-1-1-1-1-3-31111110000000000000000
χ1333333333-3-3-3-3-1-1-1-133-1-1-1-1-1-1111111-310000000000000000
χ1433333333-3-3-3-3-1-1-1-1-1-133-1-1-1-11111111-30000000000000000
χ1533333333-3-3-3-3-1-1-1-1-1-1-1-133-1-111-3-311110000000000000000
χ1633333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1331111-3-3110000000000000000
χ1744-4-4-44-4444-4-400000000000000000000111-1-111-1-11-1-111-1-1
χ1844-4-4-44-4444-4-400000000000000000000−1−i32−1+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1944-4-4-44-4444-4-400000000000000000000−1+i32−1−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ2044-4-4-44-44-4-44400000000000000000000111-1-1-1-1111-1-1-1-111
χ2144-4-4-44-44-4-44400000000000000000000−1−i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ2244-4-4-44-44-4-44400000000000000000000−1+i32−1−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ234-44-4-4-4444-44-40000000000000000000011-11-11-11-1-11-11-11-1
χ244-44-4-4-4444-44-400000000000000000000−1−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ254-44-4-4-4444-44-400000000000000000000−1+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ264-44-4-4-444-44-440000000000000000000011-11-1-11-11-11-1-11-11
χ274-44-4-4-444-44-4400000000000000000000−1−i32−1+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ284-44-4-4-444-44-4400000000000000000000−1+i32−1−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ294-4-444-4-444-4-440000000000000000000011-1-111-1-11-1-111-1-11
χ304-4-444-4-444-4-4400000000000000000000−1−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ314-4-444-4-444-4-4400000000000000000000−1+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ324-4-444-4-44-444-40000000000000000000011-1-11-111-1-1-11-111-1
χ334-4-444-4-44-444-400000000000000000000−1−i32−1+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ344-4-444-4-44-444-400000000000000000000−1+i32−1−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ356666-2-2-2-200006-2-2-22-22-22-22-2000000000000000000000000
χ366666-2-2-2-200006-2-2-2-22-22-22-22000000000000000000000000
χ376666-2-2-2-20000-26-2-22-22-2-22-22000000000000000000000000
χ386666-2-2-2-20000-26-2-2-22-222-22-2000000000000000000000000
χ396666-2-2-2-20000-2-26-22-2-222-2-22000000000000000000000000
χ406666-2-2-2-20000-2-26-2-222-2-222-2000000000000000000000000
χ416666-2-2-2-20000-2-2-262-2-22-222-2000000000000000000000000
χ426666-2-2-2-20000-2-2-26-222-22-2-22000000000000000000000000
χ431212-12-124-44-4000000000000000000004i−4i000000000000000000
χ441212-12-124-44-400000000000000000000−4i4i000000000000000000
χ4512-1212-1244-4-40000000000000000004i−4i00000000000000000000
χ4612-1212-1244-4-4000000000000000000−4i4i00000000000000000000
χ4712-12-1212-444-400000000000000004-40000000000000000000000
χ4812-12-1212-444-40000000000000000-440000000000000000000000

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