Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
600 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 1. #13123255 | C2 | semidirect |
| 2. #13113279 | C2 | semidirect |
| 3. #13113170 | C2 | semidirect |
| 4. #13112700 | C2 | semidirect |
| 63. C4×#1055 | D4 | semidirect |
| 298. C13 | #9492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123255 | 2 |
| #13113279 | 2 |
| #13113170 | 2 |
| #13112700 | 2 |
| C13×#2598 | 2 |
| #9492 | 13 |