Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 149 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. #20298905 | C2 | semidirect |
| 3. #20298905 | C2 | semidirect |
| 4. #20298893 | C2 | semidirect |
| 5. #20298883 | C2 | semidirect |
| 59. C2×Q8×C113 | Q8 | semidirect |
| 117. C113 | #3082 | semidirect |
| 161. C2×Q8 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299226 | 2 |
| #20298905 | 2 |
| #20298893 | 2 |
| #20298883 | 2 |
| #20298641 | 2 |
| #20298634 | 2 |
| #20298625 | 2 |
| #20298607 | 2 |
| C2×#16813546 | 2 |
| #519×C113 | 2 |
| #3082 | 113 |