Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
446 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 446 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. #20299148 | C2 | semidirect |
| 2. #20298996 | C2 | semidirect |
| 3. #20298975 | C2 | semidirect |
| 4. #20298945 | C2 | semidirect |
| 5. #20298851 | C2 | semidirect |
| 6. #20298711 | C2 | semidirect |
| 7. C4×M16×C113 | C2 | semidirect |
| 60. C8×C113 | #41 | semidirect |
| 77. C113 | #3184 | semidirect |
| 84. C4×M16 | D113 | semidirect |
| 137. C8 | #14268647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20298996 | 2 |
| #20298975 | 2 |
| #20298945 | 2 |
| #20298851 | 2 |
| #20298711 | 2 |
| C4×M16×C113 | 2 |
| #3184 | 113 |