Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11718569 | C2 | semidirect |
| 3. #13125322 | C2 | semidirect |
| 4. #13116573 | C2 | semidirect |
| 5. #13116553 | C2 | semidirect |
| 6. #13115734 | C2 | semidirect |
| 7. C13×#1378 | C2 | semidirect |
| 43. C2×Dic52 | D4 | semidirect |
| 60. C2×D104 | D4 | semidirect |
| 71. C13×M32 | D4 | semidirect |
| 73. C2×C13×C16 | D4 | semidirect |
| 154. #1378 | D13 | semidirect |
| 287. M32 | D52 | semidirect |
| 289. C2×C16 | D52 | 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×#11718569 | 2 |
| #13125322 | 2 |
| #13116573 | 2 |
| #13116553 | 2 |
| #13115734 | 2 |
| C13×#1378 | 2 |
| #13334 | 13 |