Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
764 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 202 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. C22×#13182038 | C2 | semidirect |
| 2. #20295999 | C2 | semidirect |
| 3. #20295998 | C2 | semidirect |
| 4. #20295996 | C2 | semidirect |
| 8. C2×#13182038 | C22 | semidirect |
| 9. C22×#11724786 | C22 | semidirect |
| 10. #16812756 | C22 | semidirect |
| 11. C22⋊#11724786 | C22 | semidirect |
| 108. C109 | #2879 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13182038 | 2 |
| #20295999 | 2 |
| #20295998 | 2 |
| #20295996 | 2 |
| C22×#13182028 | 2 |
| #2879 | 109 |