Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13127972 | C2 | semidirect |
| 2. C2×#11718808 | C2 | semidirect |
| 3. #13125317 | C2 | semidirect |
| 4. #13116571 | C2 | semidirect |
| 5. #13115732 | C2 | semidirect |
| 6. #13112921 | C2 | semidirect |
| 7. C13×#2140 | C2 | semidirect |
| 55. C2×Dic52 | D4 | semidirect |
| 65. C2×D104 | D4 | semidirect |
| 70. C2×C13×C16 | D4 | semidirect |
| 78. #88052 | D4 | semidirect |
| 152. #2140 | D13 | semidirect |
| 289. C2×C16 | C22⋊D13 | semidirect |
| 364. C13 | #13334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| C2×#11718808 | 2 |
| #13125317 | 2 |
| #13116571 | 2 |
| #13115732 | 2 |
| #13112921 | 2 |
| C13×#2140 | 2 |
| #13334 | 13 |