Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C4×#117×C67 ⋊ C2 |
| Sylow | C67 ⋊ #34237 |
2186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
Polycyclic presentation:
2^8,67|a^2=h,b^2=h,c^2=f,d^2=f,e^2=fg,b^a=bf,c^a=cg,e^a=ef,i^a=i^66,d^b=df2728 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 330344);