Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 86 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. C2×#11718219 | C2 | semidirect |
| 4. #13130945 | C2 | semidirect |
| 5. #13129907 | C2 | semidirect |
| 6. #13129876 | C2 | semidirect |
| 23. C13×#357 | C4 | semidirect |
| 24. #11718154 | C4 | semidirect |
| 25. #11718101 | C4 | semidirect |
| 26. #11718083 | C4 | semidirect |
| 57. C2×C13×C16 | C2×C4 | semidirect |
| 58. C13×#107 | C2×C4 | semidirect |
| 59. #88058 | C2×C4 | semidirect |
| 60. C2×#6090 | C2×C4 | semidirect |
| 169. #357 | #261 | semidirect |
| 218. C2×C16 | C2×#261 | semidirect |
| 222. #107 | C2×#261 | semidirect |
| 282. C13 | #12956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719102 | 2 |
| C2×#11718219 | 2 |
| C2×#11718278 | 2 |
| #13130945 | 2 |
| #13129907 | 2 |
| #13129876 | 2 |
| #13116550 | 2 |
| #12956 | 13 |