Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
594 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13115818 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 7. C13×#1518 | C2 | semidirect |
| 13. #11718749 | C4 | semidirect |
| 14. #11718746 | C4 | semidirect |
| 31. C13×C4⋊Q8 | C2×C4 | semidirect |
| 32. C13×C4⋊Q8 | C2×C4 | semidirect |
| 66. C4×#1055 | C2×C4 | semidirect |
| 114. C4×Dic13 | SD16 | semidirect |
| 123. #1518 | D13 | semidirect |
| 221. C4⋊Q8 | C4×D13 | semidirect |
| 222. C4⋊Q8 | C4×D13 | semidirect |
| 312. C13 | #9295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125774 | 2 |
| #13117559 | 2 |
| #13115818 | 2 |
| #13113503 | 2 |
| #13112694 | 2 |
| #13112664 | 2 |
| C13×#1518 | 2 |
| #9295 | 13 |