Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 2. C4×#88098 | C2 | semidirect |
| 3. C4×#88101 | C2 | semidirect |
| 4. #13129907 | C2 | semidirect |
| 11. C4×C13×Q16 | C4 | semidirect |
| 12. Q16×Dic13 | C4 | semidirect |
| 15. #11718533 | C4 | semidirect |
| 18. C4×D104 | C4 | semidirect |
| 20. #11718279 | C4 | direct (N × H) |
| 47. #88101 | C2×C4 | semidirect |
| 49. #88098 | C2×C4 | semidirect |
| 78. C13×Q16 | C42 | semidirect |
| 99. D104 | C42 | semidirect |
| 144. C4×Q16 | #261 | semidirect |
| 169. C4×C13 | #360 | semidirect |
| 231. Q16 | C4×#261 | semidirect |
| 260. C13 | C4×#360 | semidirect |
| 307. C4 | #11718279 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718279 | 2 |
| C4×#88098 | 2 |
| C4×#88101 | 2 |
| #13129907 | 2 |
| C4×#88173 | 2 |
| C4×#360 | 13 |