Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
432 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 432 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. C113⋊#401 | C2 | semidirect |
| 2. #20298539 | C2 | semidirect |
| 5. C4×#14268626 | C2 | semidirect |
| 7. #376×C113 | C2 | semidirect |
| 71. C113 | #2401 | semidirect |
| 78. #376 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C113⋊#401 | 2 |
| #20298539 | 2 |
| #20298527 | 2 |
| #20298522 | 2 |
| C4×#14268626 | 2 |
| C4×#14268624 | 2 |
| #376×C113 | 2 |
| #2401 | 113 |