Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11718850 | C2 | semidirect |
| 3. C2×#11718158 | C2 | semidirect |
| 4. #13116556 | C2 | semidirect |
| 5. C2×#11718106 | C2 | semidirect |
| 6. #13112942 | C2 | semidirect |
| 7. C2×C13×#510 | C2 | semidirect |
| 44. C2×C13×Q16 | D4 | semidirect |
| 69. C13×M32 | D4 | semidirect |
| 77. #88057 | D4 | semidirect |
| 143. C2×#510 | D13 | semidirect |
| 249. C2×Q16 | C22⋊D13 | semidirect |
| 276. M32 | C22⋊D13 | semidirect |
| 353. C13 | #13317 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124441 | 2 |
| C2×#11718850 | 2 |
| C2×#11718158 | 2 |
| #13116556 | 2 |
| C2×#11718106 | 2 |
| #13112942 | 2 |
| C2×C13×#510 | 2 |
| #13317 | 13 |