Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C9×3−1+2×C37 ⋊ C3 |
| Sylow | C37 ⋊ #10624908 |
618 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
Polycyclic presentation:
3^6,37|a^3=f,b^3=f,c^3=e,d^3=e,b^a=be,c^a=cf,g^a=g^26,d^b=de,g^b=g^10,g^d=g^101309 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 3803);