Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C3×H(3,𝔽3)×C37 ⋊ C9 |
| Sylow | C37 ⋊ #10624862 |
1178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 999 |
Polycyclic presentation:
3^6,37|a^3=f,b^a=be,d^a=de,g^a=g^16,c^b=ce,g^f=g^26381 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4411);