Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13127229 | C2 | semidirect |
| 2. #13117059 | C2 | semidirect |
| 3. #13116873 | C2 | semidirect |
| 4. #13112895 | C2 | semidirect |
| 5. #13112799 | C2 | semidirect |
| 6. D4⋊#6090 | C2 | semidirect |
| 102. D4×C13 | SD32 | semidirect |
| 220. C13 | #12342 | semidirect |
| 232. D4 | #88067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127229 | 2 |
| #13117059 | 2 |
| #13116873 | 2 |
| #13112895 | 2 |
| #13112799 | 2 |
| D4⋊#6090 | 2 |
| C13×#1667 | 2 |
| #12342 | 13 |