Finite Group DatabasebetaFinite Group Databasebeta| order | 37504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C293 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 37504 |
Polycyclic presentation:
2^7,293|a^2=e,b^2=d,c^2=de,e^2=f,f^2=g,b^a=bd,h^a=h^155,h^c=h^138,h^e=h^2921540 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37504, 20924);