Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. C2×#11718084 | C2 | semidirect |
| 5. #13115749 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 7. C13×#1387 | C2 | semidirect |
| 20. #11718570 | C4 | semidirect |
| 41. C2×Dic52 | C2×C4 | semidirect |
| 54. C13×M32 | C2×C4 | semidirect |
| 129. #1387 | D13 | semidirect |
| 231. M32 | C4×D13 | semidirect |
| 304. C13 | #13023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| #13123710 | 2 |
| C2×#11718089 | 2 |
| C2×#11718084 | 2 |
| #13115749 | 2 |
| #13112926 | 2 |
| C13×#1387 | 2 |
| #13023 | 13 |