Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
632 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13117559 | C2 | semidirect |
| 3. #13115667 | C2 | semidirect |
| 4. #13113505 | C2 | semidirect |
| 5. #13113395 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 21. #11718356 | C4 | semidirect |
| 22. #11718355 | C4 | semidirect |
| 49. #88128 | C2×C4 | semidirect |
| 53. #88123 | C2×C4 | semidirect |
| 58. C4×C8×C13 | C2×C4 | semidirect |
| 122. C4×Dic13 | D8 | semidirect |
| 130. #1286 | D13 | semidirect |
| 268. C4×C8 | C4×D13 | semidirect |
| 335. C13 | #9299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125756 | 2 |
| #13117559 | 2 |
| #13115667 | 2 |
| #13113505 | 2 |
| #13113395 | 2 |
| #13112664 | 2 |
| C13×#1286 | 2 |
| #9299 | 13 |