Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C37×C32⋊H(3,𝔽3) ⋊ C3 |
| Sylow | C37 ⋊ #10624474 |
238 conjugacy classes of subgroups.
| transitive degree | μt(G) = 999 |
Polycyclic presentation:
3^6,37|b^a=bc,c^a=cd,e^a=ef,c^b=ce,d^b=df,g^b=g^26653 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 593);