Finite Group DatabasebetaFinite Group Databasebeta| order | 29632 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C463 ⋊ C2 |
| Sylow | C463 ⋊ #407 |
190 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
Polycyclic presentation:
2^6,463|a^2=e,e^2=f,b^a=bd,c^a=cf,g^b=g^4624648 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29632, 512);