Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C42 |
No aliases for this group.
| Fitting | C67×#1438 ⋊ C2 |
| Sylow | C67 ⋊ #14358 |
3538 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
Polycyclic presentation:
2^8,67|a^2=h,b^2=e,b^a=be,c^a=cf,d^a=def,i^a=i^66,c^b=cg,d^b=de,i^b=i^66,i^c=i^66,i^d=i^661516 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 96866);