Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C67×#1920 ⋊ C2 |
| Sylow | C67 ⋊ #27032 |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
Polycyclic presentation:
2^8,67|c^2=eh,d^2=ef,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^66,c^b=cg,g^b=gh,i^b=i^66,g^c=gh,i^c=i^66,i^d=i^661306 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 242262);