Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13130774 | C2 | semidirect |
| 4. #13130759 | C2 | semidirect |
| 5. #13129713 | C2 | semidirect |
| 6. #13129713 | C2 | semidirect |
| 27. C13×#329 | C4 | semidirect |
| 28. #11718132 | C4 | semidirect |
| 29. #11718056 | C4 | semidirect |
| 30. #11718056 | C4 | semidirect |
| 70. C13×#97 | C2×C4 | semidirect |
| 71. C13×#97 | C2×C4 | semidirect |
| 74. #88043 | C2×C4 | semidirect |
| 75. #88043 | C2×C4 | semidirect |
| 218. #329 | #261 | semidirect |
| 286. #97 | C2×#261 | semidirect |
| 287. #97 | C2×#261 | semidirect |
| 363. C13 | #8911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131379 | 2 |
| #13130966 | 2 |
| #13130774 | 2 |
| #13130759 | 2 |
| #13129713 | 2 |
| D13×#329 | 2 |
| #8911 | 13 |