Finite Group DatabasebetaFinite Group Databasebeta| order | 37952 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #131×C593 ⋊ C2 |
| Sylow | C593 ⋊ #576 |
268 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^6,593|e^2=f,b^a=be,e^a=ef,g^a=g^592,e^b=ef,g^b=g^592,d^c=df5942 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37952, 1354);