Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
294 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#16813614 | C2 | semidirect |
| 4. #20298361 | C2 | semidirect |
| 5. #336×C113 | C2 | semidirect |
| 76. C113 | #2025 | semidirect |
| 81. #336 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813614 | 2 |
| C2×#16813544 | 2 |
| #20298500 | 2 |
| #20298361 | 2 |
| #336×C113 | 2 |
| #2025 | 113 |