Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×C17×M32 ⋊ C4 |
| Sylow | C17 ⋊ #12836 |
418 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=dg,d^2=gh,g^2=h,b^a=bd,c^a=ce,d^a=dg,g^a=gh,i^a=i^13,c^b=ch,i^f=i^16212 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1096749);