Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13126214 | C2 | semidirect |
| 2. #13125751 | C2 | semidirect |
| 3. #13125288 | C2 | semidirect |
| 4. #13115676 | C2 | semidirect |
| 5. #13113254 | C2 | semidirect |
| 6. #13112726 | C2 | semidirect |
| 7. C13×#1525 | C2 | semidirect |
| 134. #1525 | D13 | semidirect |
| 332. C13 | #10104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126214 | 2 |
| #13125751 | 2 |
| #13125288 | 2 |
| #13115676 | 2 |
| #13113254 | 2 |
| #13112726 | 2 |
| C13×#1525 | 2 |
| #10104 | 13 |