Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 3. #13131051 | C2 | semidirect |
| 4. #13129879 | C2 | semidirect |
| 17. #11718284 | C4 | semidirect |
| 18. #11718263 | C4 | semidirect |
| 21. C13×#349 | C4 | semidirect |
| 22. #11718145 | C4 | semidirect |
| 23. #11718106 | C4 | semidirect |
| 46. #88106 | C2×C4 | semidirect |
| 55. C13×M32 | C2×C4 | semidirect |
| 56. #88052 | C2×C4 | semidirect |
| 163. #349 | #261 | semidirect |
| 211. M32 | C2×#261 | semidirect |
| 272. C13 | #12607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×#261 | 2 |
| D13⋊#349 | 2 |
| #13131051 | 2 |
| #13129879 | 2 |
| D13×#349 | 2 |
| #12607 | 13 |