Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C2×#407×C67 ⋊ C2 |
| Sylow | C67 ⋊ #20579 |
5990 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
Polycyclic presentation:
2^8,67|a^2=g,g^2=h,b^a=be,c^a=cf,d^a=dh,i^c=i^661936 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 168677);