Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
210 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 47 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. #20299412 | C2 | semidirect |
| 2. C2×#16813566 | C2 | semidirect |
| 3. #20298865 | C2 | semidirect |
| 4. #20298415 | C2 | semidirect |
| 5. #20298405 | C2 | semidirect |
| 6. #20298383 | C2 | semidirect |
| 7. #509×C113 | C2 | semidirect |
| 91. C113 | #2193 | semidirect |
| 93. #509 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299412 | 2 |
| C2×#16813566 | 2 |
| #20298865 | 2 |
| #20298415 | 2 |
| #20298405 | 2 |
| #20298383 | 2 |
| #509×C113 | 2 |
| #2193 | 113 |