Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20299720 | C2 | semidirect |
| 2. #20299719 | C2 | semidirect |
| 3. #20299702 | C2 | semidirect |
| 4. #20299699 | C2 | semidirect |
| 5. #20299698 | C2 | semidirect |
| 6. #20299691 | C2 | semidirect |
| 72. C113 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299720 | 2 |
| #20299719 | 2 |
| #20299702 | 2 |
| #20299699 | 2 |
| #20299698 | 2 |
| #20299691 | 2 |
| #20299641 | 2 |
| #2170 | 113 |