Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C27 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Sylow | C37 ⋊ C27×H(3,𝔽3) |
292 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8991 |
Polycyclic presentation:
3^6,37|a^3=e,c^3=e,e^3=f,b^a=bd,g^a=g^12,g^c=g^16,g^e=g^26429 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4345);