Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#16813555 | C2 | semidirect |
| 4. #20298360 | C2 | semidirect |
| 7. C22×#11744751 | C4 | semidirect |
| 60. #11744751 | C22⋊C4 | semidirect |
| 65. C22×C113 | #107 | semidirect |
| 84. C113 | #1808 | semidirect |
| 149. C22 | #16813555 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#11744751 | 2 |
| C2×#16813555 | 2 |
| #20298458 | 2 |
| #20298360 | 2 |
| #380×C113 | 2 |
| #1808 | 113 |