Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1050 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13113505 | C2 | semidirect |
| 3. #13113260 | C2 | semidirect |
| 4. #13113160 | C2 | semidirect |
| 5. C13×#1801 | C2 | semidirect |
| 116. #1801 | D13 | semidirect |
| 302. C13 | #8384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719282 | 2 |
| #13113505 | 2 |
| #13113260 | 2 |
| #13113160 | 2 |
| C13×#1801 | 2 |
| #8384 | 13 |