Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
220 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14543813 | C2 | semidirect |
| 4. #14543807 | C2 | semidirect |
| 125. C17 | #12014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545148 | 2 |
| #14545144 | 2 |
| #14543813 | 2 |
| #14543807 | 2 |
| #14527069 | 2 |
| #12014 | 17 |