Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
574 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11763722 | C2 | semidirect |
| 4. #14543841 | C2 | semidirect |
| 17. #11763051 | C4 | semidirect |
| 18. #11763050 | C4 | semidirect |
| 21. #11763047 | C4 | semidirect |
| 24. C17×#467 | C4 | semidirect |
| 32. C2×Q16×C17 | C2×C4 | semidirect |
| 41. C2×Dic68 | C2×C4 | semidirect |
| 60. C17×#107 | C2×C4 | semidirect |
| 63. #10587489 | C2×C4 | semidirect |
| 178. C22×C17 | #358 | semidirect |
| 186. C2×D17 | #358 | semidirect |
| 214. #467 | #595 | semidirect |
| 239. C2×Q16 | C2×#595 | semidirect |
| 269. #107 | C2×#595 | semidirect |
| 274. C17 | #12993 | semidirect |
| 393. C22 | #11763722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587534 | 2 |
| C2×#11763722 | 2 |
| #14545009 | 2 |
| #14543841 | 2 |
| D17×#467 | 2 |
| #12993 | 17 |