Finite Group DatabasebetaFinite Group Databasebeta| order | 30213 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | H(3,𝔽3)×C373 ⋊ C3 |
| Sylow | C373 ⋊ AΣL(1,𝔽27) |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3357 |
Polycyclic presentation:
3^4,373|b^a=bc,c^a=cd,e^b=e^2841381 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30213, 28);