Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
762 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 1. #13117450 | C2 | semidirect |
| 2. #13113404 | C2 | semidirect |
| 3. C2×#11718117 | C2 | semidirect |
| 4. #13112703 | C2 | semidirect |
| 10. C13×#397 | C4 | semidirect |
| 12. C13×#392 | C4 | semidirect |
| 24. C22×D4×C13 | C2×C4 | semidirect |
| 33. C2×C13×C4⋊C4 | C2×C4 | semidirect |
| 50. C13×#95 | C2×C4 | semidirect |
| 52. #88071 | D4 | semidirect |
| 177. #397 | Dic13 | semidirect |
| 179. #392 | Dic13 | semidirect |
| 227. C22×D4 | C2×Dic13 | semidirect |
| 239. C2×C4⋊C4 | C2×Dic13 | semidirect |
| 257. #95 | C2×Dic13 | semidirect |
| 322. C13 | #9203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117450 | 2 |
| #13113404 | 2 |
| C2×#11718117 | 2 |
| #13112703 | 2 |
| C13×#2617 | 2 |
| #9203 | 13 |