Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 135 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. C22×#88057 | C2 | semidirect |
| 3. C2×#11718110 | C2 | semidirect |
| 4. #13112942 | C2 | semidirect |
| 5. C13×#2112 | C2 | semidirect |
| 11. #11718777 | C4 | semidirect |
| 12. #11718776 | C4 | semidirect |
| 40. C2×Dic52 | C2×C4 | semidirect |
| 43. C2×D104 | C2×C4 | semidirect |
| 49. #88058 | C2×C4 | semidirect |
| 53. #88057 | D4 | semidirect |
| 102. #2112 | D13 | semidirect |
| 160. C22×C13 | #360 | semidirect |
| 257. C13 | #13001 | semidirect |
| 301. C22 | #11718110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124417 | 2 |
| C22×#88057 | 2 |
| C2×#11718110 | 2 |
| #13112942 | 2 |
| C13×#2112 | 2 |
| #13001 | 13 |