Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C67×#2344 ⋊ C2 |
| Sylow | C67 ⋊ D4×#117 |
3562 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
Polycyclic presentation:
2^8,67|a^2=h,e^2=g,b^a=bf,c^a=cg,d^b=df,i^b=i^66,i^d=i^66,i^e=i^661750 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 328970);