Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
294 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 1. #14545205 | C2 | semidirect |
| 2. C2×#11763740 | C2 | semidirect |
| 3. #14543902 | C2 | semidirect |
| 4. #14543901 | C2 | semidirect |
| 7. #11763741 | C22 | semidirect |
| 11. C2×#10587467 | C22 | semidirect |
| 159. D17 | #1401 | semidirect |
| 191. C17 | C2×#1401 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545205 | 2 |
| C2×#11763740 | 2 |
| #14543902 | 2 |
| #14543901 | 2 |
| D17×#504 | 2 |
| C2×#1401 | 17 |