Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
224 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13117091 | C2 | semidirect |
| 2. #13116918 | C2 | semidirect |
| 4. #13116672 | C2 | semidirect |
| 5. #13112911 | C2 | semidirect |
| 6. #13112874 | C2 | semidirect |
| 7. C13×#1357 | C2 | semidirect |
| 83. #1357 | D13 | semidirect |
| 183. C13 | #12438 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117091 | 2 |
| #13116918 | 2 |
| #13116909 | 2 |
| #13116672 | 2 |
| #13112911 | 2 |
| #13112874 | 2 |
| C13×#1357 | 2 |
| #12438 | 13 |