Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| nilpotency class | 5 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C13 · Schur multiplier (H2) = C9 |
| direct product | C13×#10624538 |
| subgroup | G/H | |
|---|---|---|
| center, socle | C3×C13 | #6879 |
| commutator, Frattini, cosocle | C92 | C32×C13 |
| prime radical | C13×#6879 | C3 |
| LCS | G ▷ C92 ▷ C3×C9 ▷ C32 ▷ C3 ▷ C1 | |
| UCS | C1 ◁ C3×C13 ◁ C32×C13 ◁ C3×C9×C13 ◁ C92×C13 ◁ G | |
60 conjugacy classes of subgroups.
1157 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 98);