Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1630 conjugacy classes of subgroups; only the 352 normal subgroups are shown.
This group has 1630 conjugacy classes of subgroups — too many to draw. Only its 352 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. #13130016 | C2 | semidirect |
| 10. #11719136 | C4 | semidirect |
| 14. C13×#381 | C4 | semidirect |
| 15. #11718872 | C4 | semidirect |
| 16. #11718604 | C4 | semidirect |
| 17. #11718325 | C4 | semidirect |
| 61. C22×C4×C13 | C42 | semidirect |
| 65. C22×Dic13 | C42 | semidirect |
| 75. C2×C4×D13 | C42 | semidirect |
| 137. #381 | #261 | semidirect |
| 228. C22×C4 | C4×#261 | semidirect |
| 237. C13 | #13828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719136 | 2 |
| #13130017 | 2 |
| #13130016 | 2 |
| D13×#381 | 2 |
| #13828 | 13 |