Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13117118 | C2 | semidirect |
| 3. #13117114 | C2 | semidirect |
| 4. #13117109 | C2 | semidirect |
| 7. C13×#2254 | C2 | semidirect |
| 47. C16×D13 | Q8 | semidirect |
| 74. #2254 | D13 | semidirect |
| 171. C13 | #33726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125347 | 2 |
| #13117118 | 2 |
| #13117114 | 2 |
| #13117109 | 2 |
| #13116619 | 2 |
| C4×C16×D13 | 2 |
| C13×#2254 | 2 |
| #33726 | 13 |