Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299176 | C2 | semidirect |
| 2. #20298929 | C2 | semidirect |
| 3. #20298917 | C2 | semidirect |
| 4. #20298856 | C2 | semidirect |
| 5. #20298851 | C2 | semidirect |
| 6. #20298827 | C2 | semidirect |
| 7. #20298762 | C2 | semidirect |
| 8. #20298745 | C2 | semidirect |
| 9. #408×C113 | C2 | semidirect |
| 118. C113 | #3204 | semidirect |
| 127. #408 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299176 | 2 |
| #20298929 | 2 |
| #20298917 | 2 |
| #20298856 | 2 |
| #20298851 | 2 |
| #20298827 | 2 |
| #20298762 | 2 |
| #20298745 | 2 |
| #408×C113 | 2 |
| #3204 | 113 |