Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20295758 | C2 | semidirect |
| 2. #20295412 | C2 | semidirect |
| 3. #20295250 | C2 | semidirect |
| 4. #20295238 | C2 | semidirect |
| 5. #20295219 | C2 | semidirect |
| 6. #20295156 | C2 | semidirect |
| 7. #20295127 | C2 | semidirect |
| 8. C4×D872 | C2 | semidirect |
| 9. #495×C109 | C2 | semidirect |
| 109. C109 | #3403 | semidirect |
| 112. #495 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295758 | 2 |
| #20295412 | 2 |
| #20295250 | 2 |
| #20295238 | 2 |
| #20295219 | 2 |
| #20295156 | 2 |
| #20295127 | 2 |
| C4×D872 | 2 |
| #495×C109 | 2 |
| #3403 | 109 |