Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 71 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×#11718133 | C2 | semidirect |
| 3. #13112997 | C2 | semidirect |
| 4. #13112994 | C2 | semidirect |
| 5. C2×C13×#355 | C2 | semidirect |
| 9. #11719182 | C4 | semidirect |
| 12. #11718721 | C4 | semidirect |
| 16. #11718719 | C4 | semidirect |
| 18. C4×#6099 | C4 | semidirect |
| 50. #88128 | C2×C4 | semidirect |
| 52. #88123 | C2×C4 | semidirect |
| 57. #88043 | C2×C4 | semidirect |
| 58. #88043 | C2×C4 | semidirect |
| 112. C2×#355 | D13 | semidirect |
| 286. C13 | #13578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125300 | 2 |
| C2×#11718133 | 2 |
| #13112997 | 2 |
| #13112994 | 2 |
| C2×C13×#355 | 2 |
| #13578 | 13 |