Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #13115124 | C2 | semidirect |
| 5. #13115121 | C2 | semidirect |
| 6. #13112956 | C2 | semidirect |
| 7. C13×#1391 | C2 | semidirect |
| 27. #11718066 | C4 | semidirect |
| 28. #11718065 | C4 | semidirect |
| 132. #1391 | D13 | semidirect |
| 314. C13 | #12968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123900 | 2 |
| #13116499 | 2 |
| #13115217 | 2 |
| #13115124 | 2 |
| #13115121 | 2 |
| #13112956 | 2 |
| C13×#1391 | 2 |
| #12968 | 13 |