Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
768 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 768 conjugacy classes of subgroups — too many to draw. Only its 140 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. #13129925 | C2 | semidirect |
| 3. #13129924 | C2 | semidirect |
| 7. C2×M16×D13 | C4 | semidirect |
| 8. C22×#6094 | C4 | semidirect |
| 10. #11719142 | C4 | semidirect |
| 12. D13⋊#99 | C4 | semidirect |
| 15. C13×#408 | C4 | semidirect |
| 16. #11718895 | C4 | semidirect |
| 41. C2×C13×M16 | C2×C4 | semidirect |
| 42. C22×C8×C13 | C2×C4 | semidirect |
| 43. C2×#6099 | C2×C4 | semidirect |
| 44. C22×#1055 | C2×C4 | semidirect |
| 52. #88119 | C2×C4 | semidirect |
| 191. #408 | #261 | semidirect |
| 234. C2×M16 | C2×#261 | semidirect |
| 237. C22×C8 | C2×#261 | semidirect |
| 322. C13 | #12577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#410 | 2 |
| #13129925 | 2 |
| #13129924 | 2 |
| #13123278 | 2 |
| #12577 | 13 |