Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
592 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13126148 | C2 | semidirect |
| 3. #13115764 | C2 | semidirect |
| 4. #13115755 | C2 | semidirect |
| 5. #13113335 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 7. C13×#3138 | C2 | semidirect |
| 133. #3138 | D13 | semidirect |
| 336. C13 | #10193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126148 | 2 |
| #13125754 | 2 |
| #13115764 | 2 |
| #13115755 | 2 |
| #13113335 | 2 |
| #13112687 | 2 |
| C13×#3138 | 2 |
| #10193 | 13 |