Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 123 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×#16813645 | C2 | semidirect |
| 2. C2×#16813644 | C2 | semidirect |
| 3. #20299250 | C2 | semidirect |
| 4. #20298976 | C2 | semidirect |
| 5. #20298840 | C2 | semidirect |
| 6. #20298802 | C2 | semidirect |
| 7. #20298763 | C2 | semidirect |
| 8. #20298758 | C2 | semidirect |
| 9. #20298680 | C2 | semidirect |
| 10. C8×C22⋊D113 | C2 | semidirect |
| 11. #467×C113 | C2 | semidirect |
| 58. D904 | D4 | semidirect |
| 129. Dic113 | #135 | semidirect |
| 137. C113 | #3283 | semidirect |
| 143. #467 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813645 | 2 |
| C2×#16813644 | 2 |
| #20299250 | 2 |
| #20298976 | 2 |
| #20298840 | 2 |
| #20298802 | 2 |
| #20298763 | 2 |
| #20298758 | 2 |
| #20298680 | 2 |
| C8×C22⋊D113 | 2 |
| #467×C113 | 2 |
| #3283 | 113 |