Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13116521 | C2 | semidirect |
| 3. #13113002 | C2 | semidirect |
| 4. C13×#2132 | C2 | semidirect |
| 16. C13×#356 | C22 | semidirect |
| 18. #11718140 | C22 | semidirect |
| 98. #2132 | D13 | semidirect |
| 148. #356 | C2×D13 | semidirect |
| 250. C13 | #13591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125289 | 2 |
| #13116521 | 2 |
| #13113002 | 2 |
| C13×#2132 | 2 |
| #13591 | 13 |