Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11718372 | C2 | semidirect |
| 3. C2×#11718087 | C2 | semidirect |
| 4. C2×#11718158 | C2 | semidirect |
| 5. #13112936 | C2 | semidirect |
| 6. #13112916 | C2 | semidirect |
| 7. C13×#1975 | C2 | semidirect |
| 17. C2×#88068 | C4 | semidirect |
| 18. C2×#88066 | C4 | semidirect |
| 34. C2×C13×Q16 | C2×C4 | semidirect |
| 36. C2×C13×D8 | C2×C4 | semidirect |
| 67. C2×#6090 | C2×C4 | semidirect |
| 122. #1975 | D13 | semidirect |
| 206. C2×Q16 | C4×D13 | semidirect |
| 214. C2×D8 | C4×D13 | semidirect |
| 295. C13 | #13037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718854 | 2 |
| C2×#11718372 | 2 |
| C2×#11718087 | 2 |
| C2×#11718158 | 2 |
| #13112936 | 2 |
| #13112916 | 2 |
| C13×#1975 | 2 |
| #13037 | 13 |