Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C67 ⋊ #7677 |
396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17152 |
Polycyclic presentation:
2^8,67|a^2=e,b^2=f,c^2=f,d^2=g,e^2=h,b^a=bd,c^a=cf,d^a=df,i^a=i^66,c^b=ch,d^b=dg,e^b=efg1510 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 58007);