Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
276 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 101 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. #20298651 | C2 | semidirect |
| 3. #20298330 | C2 | semidirect |
| 4. #20298327 | C2 | semidirect |
| 5. C2×C4×C8×C113 | C2 | semidirect |
| 24. #14268647 | C8 | semidirect |
| 68. D452 | C2×C8 | semidirect |
| 73. Dic226 | C2×C8 | semidirect |
| 99. C113 | #1476 | semidirect |
| 102. C2×C4×C8 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14268647 | 2 |
| #20298651 | 2 |
| #20298330 | 2 |
| #20298327 | 2 |
| C2×C4×C8×C113 | 2 |
| #1476 | 113 |