Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 93 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×#11718087 | C2 | semidirect |
| 3. #13116553 | C2 | semidirect |
| 4. #13116552 | C2 | semidirect |
| 5. #13115582 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 55. #88058 | D4 | semidirect |
| 112. C2×#361 | D13 | semidirect |
| 275. C13 | #13413 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718812 | 2 |
| C2×#11718087 | 2 |
| #13116553 | 2 |
| #13116552 | 2 |
| #13115582 | 2 |
| #13112917 | 2 |
| C2×C13×#361 | 2 |
| #13413 | 13 |