Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C36 |
No aliases for this group.
| Fitting | C37×C9⋊H(3,𝔽3) ⋊ C3 |
| Sylow | C37 ⋊ #10624882 |
1058 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
Polycyclic presentation:
3^6,37|b^3=e,b^a=be,c^a=cf,d^a=de,c^b=ce,g^d=g^26717 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3417);