Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
264 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 69 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. #20299711 | C2 | semidirect |
| 2. #20299684 | C2 | semidirect |
| 31. C22×Dic113 | C8 | semidirect |
| 36. C2×C4×D113 | C8 | semidirect |
| 37. C2×C4×D113 | C8 | semidirect |
| 40. C22×C4×C113 | C8 | semidirect |
| 105. C113 | #1458 | semidirect |
| 136. C22×C4 | #11744762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299711 | 2 |
| #20299684 | 2 |
| #20299683 | 2 |
| C2×#16813701 | 2 |
| #1458 | 113 |