Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
588 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13112719 | C2 | semidirect |
| 4. #13112677 | C2 | semidirect |
| 5. C13×#2551 | C2 | semidirect |
| 33. #88128 | Q8 | semidirect |
| 80. #2551 | D13 | semidirect |
| 216. C13 | #10348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115763 | 2 |
| #13115641 | 2 |
| #13112719 | 2 |
| #13112677 | 2 |
| C13×#2551 | 2 |
| #10348 | 13 |