Finite Group DatabasebetaFinite Group Databasebeta| order | 29248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C457 ⋊ C2 |
| Sylow | C457 ⋊ #407 |
190 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7312 |
Polycyclic presentation:
2^6,457|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^4564588 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29248, 512);