Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
680 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13114824 | C2 | semidirect |
| 3. #13112961 | C2 | semidirect |
| 7. C2×C4×D4×C13 | C4 | semidirect |
| 10. C13×#390 | C4 | semidirect |
| 12. C13×#384 | C4 | semidirect |
| 13. C43×C13 | C4 | semidirect |
| 60. C2×D4×C13 | C4⋊C4 | semidirect |
| 91. C42×C13 | C4⋊C4 | semidirect |
| 146. C2×C4×D4 | Dic13 | semidirect |
| 150. #390 | Dic13 | semidirect |
| 152. #384 | Dic13 | semidirect |
| 154. C43 | Dic13 | semidirect |
| 182. C4×C13 | #353 | semidirect |
| 233. C2×D4 | C4⋊Dic13 | semidirect |
| 267. C42 | C4⋊Dic13 | semidirect |
| 268. C13 | #12797 | semidirect |
| 340. C4 | #11718137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718137 | 2 |
| #13114824 | 2 |
| #13112961 | 2 |
| C4×C13×#127 | 2 |
| #12797 | 13 |