Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13113599 | C2 | semidirect |
| 3. #13113437 | C2 | semidirect |
| 5. #13113191 | C2 | semidirect |
| 7. C8×C13×M16 | C2 | semidirect |
| 123. C8×M16 | D13 | semidirect |
| 290. C13 | #9789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718358 | 2 |
| #13113599 | 2 |
| #13113437 | 2 |
| #13113433 | 2 |
| #13113191 | 2 |
| #13113187 | 2 |
| C8×C13×M16 | 2 |
| #9789 | 13 |