Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
522 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123638 | C2 | semidirect |
| 3. C2×#11718110 | C2 | semidirect |
| 4. #13116553 | C2 | semidirect |
| 5. #13115712 | C2 | semidirect |
| 6. #13112942 | C2 | semidirect |
| 7. C13×#1377 | C2 | semidirect |
| 20. #11718569 | C4 | semidirect |
| 47. C2×D104 | C2×C4 | semidirect |
| 57. C13×M32 | C2×C4 | semidirect |
| 112. Dic52 | C22⋊C4 | semidirect |
| 118. D104 | C22⋊C4 | semidirect |
| 129. #1377 | D13 | semidirect |
| 237. M32 | C4×D13 | semidirect |
| 306. C13 | #13025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718569 | 2 |
| #13123638 | 2 |
| C2×#11718110 | 2 |
| #13116553 | 2 |
| #13115712 | 2 |
| #13112942 | 2 |
| C13×#1377 | 2 |
| #13025 | 13 |