Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
576 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13117946 | C2 | semidirect |
| 3. #13113459 | C2 | semidirect |
| 4. #13113345 | C2 | semidirect |
| 5. #13113343 | C2 | semidirect |
| 6. #13112730 | C2 | semidirect |
| 7. C13×#1300 | C2 | semidirect |
| 19. #11718376 | C4 | semidirect |
| 20. #11718373 | C4 | semidirect |
| 61. #88128 | C2×C4 | semidirect |
| 64. #88123 | C2×C4 | semidirect |
| 68. C13×#97 | C2×C4 | semidirect |
| 146. #1300 | D13 | semidirect |
| 290. #97 | C4×D13 | semidirect |
| 365. C13 | #9441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125302 | 2 |
| #13117946 | 2 |
| #13113459 | 2 |
| #13113345 | 2 |
| #13113343 | 2 |
| #13112730 | 2 |
| C13×#1300 | 2 |
| #9441 | 13 |