Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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. #20298907 | C2 | semidirect |
| 4. #20298903 | C2 | semidirect |
| 5. #20298891 | C2 | semidirect |
| 6. #20298881 | C2 | semidirect |
| 72. C2×Q8×C113 | Q8 | semidirect |
| 130. C113 | #3078 | semidirect |
| 177. C2×Q8 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299151 | 2 |
| C2×Q8×Dic113 | 2 |
| #20298907 | 2 |
| #20298903 | 2 |
| #20298891 | 2 |
| #20298881 | 2 |
| #20298641 | 2 |
| #20298640 | 2 |
| #20298621 | 2 |
| #20298607 | 2 |
| #419×C113 | 2 |
| #3078 | 113 |