Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
522 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13123637 | C2 | semidirect |
| 3. #13116553 | C2 | semidirect |
| 4. #13115710 | C2 | semidirect |
| 5. #13112943 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C2×C13×#360 | C2 | semidirect |
| 15. #11718854 | C4 | semidirect |
| 53. C2×D104 | C2×C4 | semidirect |
| 68. #88052 | C2×C4 | semidirect |
| 92. C13×Q16 | C22⋊C4 | semidirect |
| 96. C13×D8 | C22⋊C4 | semidirect |
| 125. C2×#360 | D13 | semidirect |
| 275. Q16 | #6103 | semidirect |
| 283. D8 | #6103 | semidirect |
| 306. C13 | #13025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718854 | 2 |
| #13123637 | 2 |
| #13116553 | 2 |
| #13115710 | 2 |
| #13112943 | 2 |
| #13112919 | 2 |
| C2×C13×#360 | 2 |
| #13025 | 13 |