Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20299305 | C2 | semidirect |
| 3. #20298996 | C2 | semidirect |
| 4. #20298929 | C2 | semidirect |
| 5. #20298917 | C2 | semidirect |
| 6. #20298889 | C2 | semidirect |
| 7. #20298884 | C2 | semidirect |
| 8. #20298827 | C2 | semidirect |
| 9. C4×#14268636 | C2 | semidirect |
| 10. C2×#16813554 | C2 | semidirect |
| 11. C8×D4×C113 | C2 | semidirect |
| 76. D4×C113 | SD16 | semidirect |
| 100. C8×C113 | #41 | semidirect |
| 124. C113 | #3335 | semidirect |
| 134. C8×D4 | D113 | semidirect |
| 207. D4 | #14268636 | semidirect |
| 224. C8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299305 | 2 |
| #20299252 | 2 |
| #20298996 | 2 |
| #20298929 | 2 |
| #20298917 | 2 |
| #20298889 | 2 |
| #20298884 | 2 |
| #20298827 | 2 |
| C4×#14268636 | 2 |
| C2×#16813554 | 2 |
| C8×D4×C113 | 2 |
| #3335 | 113 |