Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
236 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 69 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. #20299717 | C2 | semidirect |
| 2. #20299697 | C2 | semidirect |
| 3. #20299696 | C2 | semidirect |
| 6. #16813718 | C22 | semidirect |
| 90. D113 | #349 | semidirect |
| 92. C113 | C2×#349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299717 | 2 |
| #20299697 | 2 |
| #20299696 | 2 |
| C2×D113⋊M16 | 2 |
| C2×#349 | 113 |