Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
482 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13114978 | C2 | semidirect |
| 3. #13114951 | C2 | semidirect |
| 4. #13112660 | C2 | semidirect |
| 5. #13112658 | C2 | semidirect |
| 39. D4×Dic13 | C8 | semidirect |
| 311. C13 | #7594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117298 | 2 |
| #13114978 | 2 |
| #13114951 | 2 |
| #13112660 | 2 |
| #13112658 | 2 |
| #13112657 | 2 |
| C13×#1270 | 2 |
| #7594 | 13 |