Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
530 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 82 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. #14544968 | C2 | semidirect |
| 3. #14544915 | C2 | semidirect |
| 5. #14543661 | C2 | semidirect |
| 6. #14543661 | C2 | semidirect |
| 26. #11763171 | C4 | semidirect |
| 28. #11763169 | C4 | semidirect |
| 29. #11763168 | C4 | semidirect |
| 34. C17×#489 | C4 | semidirect |
| 50. C17×C4⋊Q8 | C2×C4 | semidirect |
| 66. #10587555 | C2×C4 | semidirect |
| 81. C17×#97 | C2×C4 | semidirect |
| 89. #10587474 | C2×C4 | semidirect |
| 261. #489 | #595 | semidirect |
| 301. C4⋊Q8 | C2×#595 | semidirect |
| 338. #97 | C2×#595 | semidirect |
| 345. C17 | #8999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545327 | 2 |
| #14544968 | 2 |
| #14544915 | 2 |
| D17⋊#329 | 2 |
| #14543661 | 2 |
| D17×#489 | 2 |
| #8999 | 17 |