Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#11718103 | C2 | semidirect |
| 5. #13114999 | C2 | semidirect |
| 6. #13112946 | C2 | semidirect |
| 7. C13×#1387 | C2 | semidirect |
| 20. #11718556 | C4 | semidirect |
| 110. #1387 | D13 | semidirect |
| 259. C13 | #12820 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718556 | 2 |
| C2×#11718103 | 2 |
| #13116549 | 2 |
| #13116546 | 2 |
| #13114999 | 2 |
| #13112946 | 2 |
| C13×#1387 | 2 |
| #12820 | 13 |