Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 1. D13⋊(C22⋊C16) | C2 | semidirect |
| 2. #13130528 | C2 | semidirect |
| 3. #13129827 | C2 | semidirect |
| 4. #13129826 | C2 | semidirect |
| 21. #11718268 | C22 | semidirect |
| 22. #11718259 | C22 | semidirect |
| 238. D13 | #1349 | semidirect |
| 286. C13 | C2×#1349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C22⋊C16) | 2 |
| #13130528 | 2 |
| #13129827 | 2 |
| #13129826 | 2 |
| D13×#466 | 2 |
| C2×#1349 | 13 |