Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 60 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. #13129984 | C2 | semidirect |
| 4. #13129983 | C2 | semidirect |
| 7. #11719175 | C4 | semidirect |
| 10. C4×C13×M16 | C4 | semidirect |
| 15. #11718358 | C4 | semidirect |
| 16. #11718358 | C4 | semidirect |
| 37. #88124 | C2×C4 | semidirect |
| 38. #88124 | C2×C4 | semidirect |
| 46. C4×C8×C13 | C2×C4 | semidirect |
| 47. C4×C8×C13 | C2×C4 | semidirect |
| 144. C4×M16 | #261 | semidirect |
| 199. C4×C8 | C2×#261 | semidirect |
| 200. C4×C8 | C2×#261 | semidirect |
| 246. C13 | #13603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718228 | 2 |
| C2×#11718226 | 2 |
| #13129984 | 2 |
| #13129983 | 2 |
| #13125223 | 2 |
| #13603 | 13 |