Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
178 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20298950 | C2 | semidirect |
| 2. #20298948 | C2 | semidirect |
| 6. C8×#11744751 | C2 | semidirect |
| 7. #487×C113 | C2 | semidirect |
| 68. C113 | #1711 | semidirect |
| 71. #487 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298950 | 2 |
| #20298948 | 2 |
| #20298946 | 2 |
| #20298945 | 2 |
| C8×#11744751 | 2 |
| #487×C113 | 2 |
| #1711 | 113 |