Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
228 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 228 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. #20299328 | C2 | semidirect |
| 4. #20298328 | C2 | semidirect |
| 5. #333×C113 | C2 | semidirect |
| 45. Dic226 | SD16 | semidirect |
| 61. C113 | #1623 | semidirect |
| 65. #333 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299328 | 2 |
| #20298972 | 2 |
| #20298799 | 2 |
| #20298328 | 2 |
| #333×C113 | 2 |
| #1623 | 113 |