Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
604 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 604 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 |
|---|---|---|
| 4. #13113335 | C2 | semidirect |
| 5. #13113231 | C2 | semidirect |
| 6. #13112737 | C2 | semidirect |
| 7. C13×#3078 | C2 | semidirect |
| 86. C2×Q8×C13 | SD16 | semidirect |
| 135. #3078 | D13 | semidirect |
| 292. C2×Q8 | #6106 | semidirect |
| 340. C13 | #10250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125774 | 2 |
| #13119835 | 2 |
| #13113505 | 2 |
| #13113335 | 2 |
| #13113231 | 2 |
| #13112737 | 2 |
| C13×#3078 | 2 |
| #10250 | 13 |