Finite Group DatabasebetaFinite Group Databasebeta| order | 37504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C4×C4⋊C4×C293 ⋊ C2 |
| Sylow | C293 ⋊ #2347 |
504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^7,293|a^2=g,b^2=ef,c^2=e,d^2=e,b^a=be,c^a=cf,h^a=h^292,d^b=de,h^d=h^2925890 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37504, 7404);