Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13123752 | C2 | semidirect |
| 3. C2×#11718089 | C2 | semidirect |
| 4. #13116541 | C2 | semidirect |
| 5. #13115732 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 7. C13×#1389 | C2 | semidirect |
| 20. #11718570 | C4 | semidirect |
| 22. #11718569 | C4 | semidirect |
| 129. #1389 | D13 | semidirect |
| 303. C13 | #13021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| #13123752 | 2 |
| C2×#11718089 | 2 |
| #13116541 | 2 |
| #13115732 | 2 |
| #13112926 | 2 |
| C13×#1389 | 2 |
| #13021 | 13 |