Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
556 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13125382 | C2 | semidirect |
| 5. #13113516 | C2 | semidirect |
| 6. #13113292 | C2 | semidirect |
| 7. C13×#1278 | C2 | semidirect |
| 92. C13×M16 | SD16 | semidirect |
| 122. #1278 | D13 | semidirect |
| 265. M16 | #6095 | semidirect |
| 287. C13 | #10161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125779 | 2 |
| #13125382 | 2 |
| C2×#11718355 | 2 |
| #13115676 | 2 |
| #13113516 | 2 |
| #13113292 | 2 |
| C13×#1278 | 2 |
| #10161 | 13 |