Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1030 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 1030 conjugacy classes of subgroups — too many to draw. Only its 267 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. C2×#11718341 | C2 | semidirect |
| 3. C2×#11718354 | C2 | semidirect |
| 4. C2×#11718355 | C2 | semidirect |
| 5. #13114464 | C2 | direct (N × H) |
| 6. C2×C13×#322 | C2 | semidirect |
| 19. #11718355 | C22 | semidirect |
| 21. #11718354 | C22 | semidirect |
| 23. #11718341 | C22 | semidirect |
| 24. C13×#322 | C22 | semidirect |
| 77. C2×C8×C13 | SD16 | semidirect |
| 94. C2×#322 | D13 | semidirect |
| 121. C8×C13 | C2×SD16 | semidirect |
| 139. #322 | C2×D13 | semidirect |
| 184. C2×C13 | #1715 | semidirect |
| 212. C2×C8 | #6095 | semidirect |
| 222. C13 | C2×#1715 | semidirect |
| 249. C8 | C2×#6095 | semidirect |
| 266. C2 | #13114464 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718341 | 2 |
| C2×#11718356 | 2 |
| C2×#11718354 | 2 |
| C2×#11718355 | 2 |
| #13114464 | 2 |
| C2×C13×#322 | 2 |
| C2×#1715 | 13 |