Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1506 conjugacy classes of subgroups; only the 279 normal subgroups are shown.
This group has 1506 conjugacy classes of subgroups — too many to draw. Only its 279 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 |
|---|---|---|
| 1. C22×#88202 | C2 | semidirect |
| 2. C2×#11718386 | C2 | semidirect |
| 4. #13115131 | C2 | semidirect |
| 5. #13115018 | C2 | semidirect |
| 6. #13114610 | C2 | semidirect |
| 7. C13×#1780 | C2 | semidirect |
| 46. C22×#1055 | D4 | semidirect |
| 99. #1780 | D13 | semidirect |
| 109. C22×D13 | #131 | semidirect |
| 125. C2×Dic13 | #131 | semidirect |
| 239. C13 | #21442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88202 | 2 |
| C2×#11718386 | 2 |
| #13118049 | 2 |
| #13115131 | 2 |
| #13115018 | 2 |
| #13114610 | 2 |
| C13×#1780 | 2 |
| #21442 | 13 |