Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1394 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1394 conjugacy classes of subgroups — too many to draw. Only its 224 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. #13131283 | C2 | semidirect |
| 2. #13130975 | C2 | semidirect |
| 3. #13130666 | C2 | semidirect |
| 6. C2×C13×#127 | C4 | semidirect |
| 8. C2×#88190 | C4 | semidirect |
| 9. C2×D4×Dic13 | C4 | semidirect |
| 15. C2×#88123 | C4 | semidirect |
| 164. C2×#127 | #261 | semidirect |
| 293. C13 | #21794 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131283 | 2 |
| #13130975 | 2 |
| #13130666 | 2 |
| C2×#11719421 | 2 |
| #21794 | 13 |