Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13115779 | C2 | semidirect |
| 4. #13113386 | C2 | semidirect |
| 5. #13112700 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 20. #11718721 | C4 | semidirect |
| 21. #11718716 | C4 | semidirect |
| 56. #88123 | C2×C4 | semidirect |
| 57. #88123 | C2×C4 | semidirect |
| 75. #88043 | C2×C4 | semidirect |
| 332. C13 | #9379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125839 | 2 |
| #13115779 | 2 |
| #13113434 | 2 |
| #13113386 | 2 |
| #13112700 | 2 |
| #13112692 | 2 |
| C13×#2337 | 2 |
| #9379 | 13 |