Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
448 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 84 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. C2×#11763706 | C2 | semidirect |
| 2. C2×#11763677 | C2 | semidirect |
| 3. #14543757 | C2 | semidirect |
| 4. #14543755 | C2 | semidirect |
| 12. C2×#10587590 | C4 | semidirect |
| 15. #11763068 | C4 | semidirect |
| 17. #11763063 | C4 | semidirect |
| 22. C17×#427 | C4 | semidirect |
| 35. C2×Dic68 | C2×C4 | semidirect |
| 38. C2×D136 | C2×C4 | semidirect |
| 58. C17×#106 | C2×C4 | semidirect |
| 59. C17×#106 | C2×C4 | semidirect |
| 202. #427 | #595 | semidirect |
| 250. #106 | C2×#595 | semidirect |
| 251. #106 | C2×#595 | semidirect |
| 256. C17 | #11685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763706 | 2 |
| C2×#11763677 | 2 |
| #14543757 | 2 |
| #14543755 | 2 |
| #14538394 | 2 |
| #11685 | 17 |