Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. #20298422 | C2 | semidirect |
| 4. #20298421 | C2 | semidirect |
| 5. #20298414 | C2 | semidirect |
| 7. #362×C113 | C2 | semidirect |
| 62. C113 | #2239 | semidirect |
| 68. #362 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298853 | 2 |
| #20298645 | 2 |
| #20298422 | 2 |
| #20298421 | 2 |
| #20298414 | 2 |
| #20298379 | 2 |
| #362×C113 | 2 |
| #2239 | 113 |