Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
220 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×#16813719 | C2 | semidirect |
| 2. #20299717 | C2 | semidirect |
| 3. #20299699 | C2 | semidirect |
| 4. #20299698 | C2 | semidirect |
| 8. #16813719 | C22 | semidirect |
| 10. #16813717 | C22 | semidirect |
| 103. C113 | #2117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813719 | 2 |
| #20299717 | 2 |
| #20299699 | 2 |
| #20299698 | 2 |
| D113⋊#131 | 2 |
| #2117 | 113 |