Finite Group Databasebeta

← Group #5948

Character table — Group #5948

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size11113333666666661616161616161616
order1244224422224444336612121212
χ1111111111111111111111111
χ21111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ31111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411-1-111-1-1-1-1-1-111111111-1-1-1-1
χ511-1-111-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ611-1-111-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ72-22i−2i2-22i−2i00000000-1-111i−ii−i
χ82-22i−2i2-22i−2i000000001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7
χ92-22i−2i2-22i−2i000000001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11
χ102-2−2i2i2-2−2i2i00000000-1-111−ii−ii
χ112-2−2i2i2-2−2i2i000000001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7
χ122-2−2i2i2-2−2i2i000000001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11
χ1333333333-1-1-1-1-1-1-1-100000000
χ143333-1-1-1-13-1-1-13-1-1-100000000
χ153333-1-1-1-1-13-1-1-13-1-100000000
χ163333-1-1-1-1-1-13-1-1-13-100000000
χ173333-1-1-1-1-1-1-13-1-1-1300000000
χ1833-3-333-3-31111-1-1-1-100000000
χ1933-3-3-1-111111-3-1-1-1300000000
χ2033-3-3-1-11111-31-1-13-100000000
χ2133-3-3-1-1111-311-13-1-100000000
χ2233-3-3-1-111-31113-1-1-100000000
χ236-66i−6i-22−2i2i0000000000000000
χ246-6−6i6i-222i−2i0000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.