Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
200 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 110 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. #20299487 | C2 | semidirect |
| 3. #20299486 | C2 | semidirect |
| 5. #16813695 | C4 | semidirect |
| 14. #14268650 | C2×C4 | semidirect |
| 48. D113 | #346 | semidirect |
| 50. C113 | C2×#346 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813695 | 2 |
| #20299487 | 2 |
| #20299486 | 2 |
| C4×C8×D113 | 2 |
| C2×#346 | 113 |