Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13114825 | C2 | semidirect |
| 3. #13113606 | C2 | semidirect |
| 4. #13113505 | C2 | semidirect |
| 5. #13113503 | C2 | semidirect |
| 6. #13113228 | C2 | semidirect |
| 7. C13×#1301 | C2 | semidirect |
| 115. #1301 | D13 | semidirect |
| 291. C13 | #10441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718504 | 2 |
| #13114825 | 2 |
| #13113606 | 2 |
| #13113505 | 2 |
| #13113503 | 2 |
| #13113228 | 2 |
| C13×#1301 | 2 |
| #10441 | 13 |