Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C23×C4⋊C4×C83 ⋊ C2 |
| Sylow | C83 ⋊ #34200 |
3534 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
Polycyclic presentation:
2^8,83|a^2=h,b^2=h,d^2=f,b^a=bf,c^a=cg,e^a=ef,i^a=i^82,d^b=df3368 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 329850);