Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 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 |
|---|---|---|
| 3. #13115809 | C2 | semidirect |
| 4. #13115808 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C13×#1295 | C2 | semidirect |
| 20. #11718376 | C4 | semidirect |
| 64. #88123 | C2×C4 | semidirect |
| 68. C13×#97 | C2×C4 | semidirect |
| 143. #1295 | D13 | semidirect |
| 282. #97 | C4×D13 | semidirect |
| 356. C13 | #9003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718376 | 2 |
| #13118007 | 2 |
| #13115809 | 2 |
| #13115808 | 2 |
| C2×#11718056 | 2 |
| #13112718 | 2 |
| C13×#1295 | 2 |
| #9003 | 13 |