Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 3. #13115810 | C2 | semidirect |
| 5. #13112718 | C2 | semidirect |
| 6. #13112717 | C2 | semidirect |
| 7. C13×#1993 | C2 | semidirect |
| 15. #11718747 | C4 | semidirect |
| 38. C13×C4⋊Q8 | C2×C4 | semidirect |
| 76. #88043 | C2×C4 | semidirect |
| 140. #1993 | D13 | semidirect |
| 258. C4⋊Q8 | C4×D13 | semidirect |
| 356. C13 | #9003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718747 | 2 |
| #13118007 | 2 |
| #13115810 | 2 |
| C2×#11718056 | 2 |
| #13112718 | 2 |
| #13112717 | 2 |
| C13×#1993 | 2 |
| #9003 | 13 |