Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
530 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. C2×#11763104 | C2 | semidirect |
| 4. #14527468 | C2 | semidirect |
| 6. #14526680 | C2 | semidirect |
| 7. C17×#1461 | C2 | semidirect |
| 82. C2×Q8×C17 | SD16 | semidirect |
| 179. #1461 | D17 | semidirect |
| 276. C17 | #10181 | semidirect |
| 290. C2×Q8 | #63219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539711 | 2 |
| C2×#11763104 | 2 |
| #14538256 | 2 |
| #14527468 | 2 |
| #14527184 | 2 |
| #14526680 | 2 |
| C17×#1461 | 2 |
| #10181 | 17 |