Finite Group DatabasebetaFinite Group Databasebeta| order | 29056 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #423×C227 ⋊ C2 |
| Sylow | C227 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^7,227|a^2=f,c^2=f,f^2=g,b^a=be,d^a=dg,h^b=h^226,d^c=dg,h^c=h^2263214 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29056, 13245);