Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
620 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13118012 | C2 | semidirect |
| 3. #13113549 | C2 | semidirect |
| 4. #13113384 | C2 | semidirect |
| 5. #13113382 | C2 | semidirect |
| 6. #13112701 | C2 | semidirect |
| 7. C13×#1288 | C2 | semidirect |
| 17. #11718356 | C4 | semidirect |
| 18. #11718354 | C4 | semidirect |
| 45. #88128 | C2×C4 | semidirect |
| 49. #88123 | C2×C4 | semidirect |
| 54. C4×C8×C13 | C2×C4 | semidirect |
| 117. #1288 | D13 | semidirect |
| 232. C4×C8 | C4×D13 | semidirect |
| 291. C13 | #9428 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125288 | 2 |
| #13118012 | 2 |
| #13113549 | 2 |
| #13113384 | 2 |
| #13113382 | 2 |
| #13112701 | 2 |
| C13×#1288 | 2 |
| #9428 | 13 |