Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
412 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20299153 | C2 | semidirect |
| 3. #20298996 | C2 | semidirect |
| 4. #20298948 | C2 | semidirect |
| 5. #20298944 | C2 | semidirect |
| 6. #20298824 | C2 | semidirect |
| 7. SD16×Dic113 | C2 | semidirect |
| 8. C4×C8×D113 | C2 | semidirect |
| 9. #492×C113 | C2 | semidirect |
| 86. C4×D113 | SD16 | semidirect |
| 89. C8×C113 | #41 | semidirect |
| 113. C113 | #3167 | semidirect |
| 117. #492 | D113 | semidirect |
| 203. C8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299153 | 2 |
| #20299146 | 2 |
| #20298996 | 2 |
| #20298948 | 2 |
| #20298944 | 2 |
| #20298824 | 2 |
| SD16×Dic113 | 2 |
| C4×C8×D113 | 2 |
| #492×C113 | 2 |
| #3167 | 113 |