Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#11718343 | C2 | semidirect |
| 4. #13112928 | C2 | semidirect |
| 5. C13×#1374 | C2 | semidirect |
| 30. C2×D104 | Q8 | semidirect |
| 81. #1374 | D13 | semidirect |
| 216. C13 | #13363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718343 | 2 |
| C2×#11718101 | 2 |
| #13115702 | 2 |
| #13112928 | 2 |
| C13×#1374 | 2 |
| #13363 | 13 |