Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20295751 | C2 | semidirect |
| 3. #20295375 | C2 | semidirect |
| 4. #20295309 | C2 | semidirect |
| 5. #20295308 | C2 | semidirect |
| 8. C8×Dic218 | C2 | semidirect |
| 11. #487×C109 | C2 | semidirect |
| 95. Dic218 | SD16 | semidirect |
| 119. C109 | #3359 | semidirect |
| 123. #487 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295751 | 2 |
| #20295691 | 2 |
| #20295375 | 2 |
| #20295309 | 2 |
| #20295308 | 2 |
| #20295230 | 2 |
| #20295228 | 2 |
| C8×Dic218 | 2 |
| C4×#13182018 | 2 |
| #20295111 | 2 |
| #487×C109 | 2 |
| #3359 | 109 |