Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
484 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 484 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 |
|---|---|---|
| 3. #14544722 | C2 | semidirect |
| 4. #14544707 | C2 | semidirect |
| 5. #14543661 | C2 | semidirect |
| 6. #14543661 | C2 | semidirect |
| 27. #11762549 | C4 | semidirect |
| 28. #11762548 | C4 | semidirect |
| 29. #11762548 | C4 | semidirect |
| 30. C17×#329 | C4 | semidirect |
| 70. C17×#97 | C2×C4 | semidirect |
| 71. C17×#97 | C2×C4 | semidirect |
| 74. #10587474 | C2×C4 | semidirect |
| 75. #10587474 | C2×C4 | semidirect |
| 248. #329 | #595 | semidirect |
| 295. #97 | C2×#595 | semidirect |
| 296. #97 | C2×#595 | semidirect |
| 303. C17 | #8911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545327 | 2 |
| #14544914 | 2 |
| #14544722 | 2 |
| #14544707 | 2 |
| #14543661 | 2 |
| D17×#329 | 2 |
| #8911 | 17 |