Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13113722 | C2 | semidirect |
| 3. #13112908 | C2 | semidirect |
| 4. #13112798 | C2 | semidirect |
| 5. C8×C13×C16 | C2 | semidirect |
| 47. C13×C16 | M16 | semidirect |
| 52. C8×C16 | D13 | semidirect |
| 65. C8×C13 | D16 | semidirect |
| 123. C16 | #6094 | semidirect |
| 124. C13 | #12081 | semidirect |
| 138. C8 | D208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D208 | 2 |
| #13113722 | 2 |
| #13112908 | 2 |
| #13112798 | 2 |
| C8×C13×C16 | 2 |
| #12081 | 13 |