Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 94 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. #13130270 | C2 | semidirect |
| 3. #13130219 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129691 | C2 | semidirect |
| 19. C13×#476 | C4 | semidirect |
| 20. #11718745 | C4 | semidirect |
| 21. #11718668 | C4 | semidirect |
| 24. #11718507 | C4 | semidirect |
| 43. C13×C4⋊Q8 | C2×C4 | semidirect |
| 60. #88123 | C2×C4 | semidirect |
| 73. C13×C4⋊C8 | C2×C4 | semidirect |
| 82. C4⋊#1055 | C2×C4 | semidirect |
| 204. #476 | #261 | semidirect |
| 256. C4⋊Q8 | C2×#261 | semidirect |
| 287. C4⋊C8 | C2×#261 | semidirect |
| 365. C13 | #9175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131349 | 2 |
| #13130270 | 2 |
| #13130219 | 2 |
| #13130136 | 2 |
| #13129732 | 2 |
| #13129691 | 2 |
| #13124634 | 2 |
| #9175 | 13 |