Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
802 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 802 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13117666 | C2 | semidirect |
| 2. #13115673 | C2 | semidirect |
| 3. #13114780 | C2 | semidirect |
| 4. #13113352 | C2 | semidirect |
| 5. #13112741 | C2 | semidirect |
| 6. #13112721 | C2 | semidirect |
| 9. C2×C13×AGL(1,ℤ/8) | C4 | semidirect |
| 15. C13×#417 | C4 | semidirect |
| 37. C22×D4×C13 | C2×C4 | semidirect |
| 45. C2×C13×M16 | C2×C4 | semidirect |
| 50. C2×C13×C4⋊C4 | C2×C4 | semidirect |
| 173. D4×C13 | #99 | semidirect |
| 206. C2×AGL(1,ℤ/8) | Dic13 | semidirect |
| 213. #417 | Dic13 | semidirect |
| 266. C22×D4 | C2×Dic13 | semidirect |
| 275. C2×M16 | C2×Dic13 | semidirect |
| 282. C2×C4⋊C4 | C2×Dic13 | semidirect |
| 375. C13 | #9365 | semidirect |
| 404. D4 | #88074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117666 | 2 |
| #13115673 | 2 |
| #13114780 | 2 |
| #13113352 | 2 |
| #13112741 | 2 |
| #13112721 | 2 |
| C13×#3006 | 2 |
| #9365 | 13 |