Finite Group DatabasebetaFinite Group Databasebeta| order | 37504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C4×C22⋊C4×C293 ⋊ C2 |
| Sylow | C293 ⋊ #2388 |
944 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^7,293|d^2=e,b^a=be,c^a=cf,c^b=cg,h^b=h^292,h^c=h^2925884 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37504, 7726);