Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C43 |
No aliases for this group.
| Fitting | C2×C17×#384 ⋊ C2 |
| Sylow | C17 ⋊ #14713 |
3342 conjugacy classes of subgroups; only the 675 normal subgroups are shown.
This group has 3342 conjugacy classes of subgroups — too many to draw. Only its 675 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=h,b^2=eh,c^2=f,d^2=g,b^a=be,c^a=cf,d^a=dg,i^b=i^16536 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 100933);