Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
384 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. #20298658 | C2 | semidirect |
| 3. #20298654 | C2 | semidirect |
| 4. #20298625 | C2 | semidirect |
| 7. M16×Dic113 | C2 | semidirect |
| 8. C2×#16813532 | C2 | semidirect |
| 9. #424×C113 | C2 | semidirect |
| 94. C113 | #2923 | semidirect |
| 99. #424 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299066 | 2 |
| #20298658 | 2 |
| #20298654 | 2 |
| #20298625 | 2 |
| #20298566 | 2 |
| #20298564 | 2 |
| M16×Dic113 | 2 |
| C2×#16813532 | 2 |
| #424×C113 | 2 |
| #2923 | 113 |