Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
254 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 108 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. #13129862 | C2 | semidirect |
| 3. #13129861 | C2 | semidirect |
| 4. #13129860 | C2 | semidirect |
| 33. C16×D13 | C8 | semidirect |
| 51. C13×C16 | C2×C8 | semidirect |
| 53. #6090 | C2×C8 | semidirect |
| 112. D13 | #1368 | semidirect |
| 131. C16 | D13⋊C8 | semidirect |
| 132. C13 | C2×#1368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#334 | 2 |
| #13129862 | 2 |
| #13129861 | 2 |
| #13129860 | 2 |
| D13×#346 | 2 |
| C2×#1368 | 13 |