Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| nilpotency class | 3 |
| automorphism | ? |
| homology | Abelianization (H1) = C34×C13 · Schur multiplier (H2) = C36 |
| direct product | C13×#10624931 |
| subgroup | G/H | |
|---|---|---|
| center, socle | C3×C13 | C32×H(3,𝔽3) |
| commutator, Frattini, cosocle | C32 | C34×C13 |
| prime radical | C13×H(5,𝔽3) | C3 |
| LCS | G ▷ C32 ▷ C3 ▷ C1 | |
| UCS | C1 ◁ C3×C13 ◁ C3×C13×H(3,𝔽3) ◁ G | |
978 conjugacy classes of subgroups.
1365 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 491);