Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123317 | C2 | semidirect |
| 3. #13116486 | C2 | semidirect |
| 4. #13114812 | C2 | semidirect |
| 5. #13112966 | C2 | semidirect |
| 6. #13112958 | C2 | semidirect |
| 7. C13×#2134 | C2 | semidirect |
| 10. C22×#6105 | C4 | semidirect |
| 11. C2×#88186 | C4 | semidirect |
| 25. #11718665 | C4 | semidirect |
| 26. #11718663 | C4 | semidirect |
| 162. #2134 | D13 | semidirect |
| 404. C13 | #13098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124120 | 2 |
| #13123317 | 2 |
| #13116486 | 2 |
| #13114812 | 2 |
| #13112966 | 2 |
| #13112958 | 2 |
| C13×#2134 | 2 |
| #13098 | 13 |