Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
250 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 3. #13112970 | C2 | semidirect |
| 4. C32×Dic13 | C2 | semidirect |
| 5. C13×#1397 | C2 | semidirect |
| 15. #11718039 | C4 | semidirect |
| 29. C13×C32 | C2×C4 | semidirect |
| 30. #88034 | C2×C4 | semidirect |
| 51. #1397 | D13 | semidirect |
| 83. Dic13 | M64 | semidirect |
| 98. C32 | C4×D13 | semidirect |
| 118. C13 | C4×M64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718039 | 2 |
| C4×C16×D13 | 2 |
| #13112970 | 2 |
| C32×Dic13 | 2 |
| C13×#1397 | 2 |
| C4×M64 | 13 |