Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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. #20299222 | C2 | semidirect |
| 2. #20298982 | C2 | semidirect |
| 3. #20298960 | C2 | semidirect |
| 4. #20298845 | C2 | semidirect |
| 5. #20298840 | C2 | semidirect |
| 7. #20298697 | C2 | semidirect |
| 8. #20298692 | C2 | semidirect |
| 9. #20298680 | C2 | semidirect |
| 10. #20298552 | C2 | semidirect |
| 11. #500×C113 | C2 | semidirect |
| 118. C113 | #3175 | semidirect |
| 120. #500 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299222 | 2 |
| #20298982 | 2 |
| #20298960 | 2 |
| #20298845 | 2 |
| #20298840 | 2 |
| #20298835 | 2 |
| #20298697 | 2 |
| #20298692 | 2 |
| #20298680 | 2 |
| #20298552 | 2 |
| #500×C113 | 2 |
| #3175 | 113 |