Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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 |
|---|---|---|
| 1. C4×#13182029 | C2 | semidirect |
| 2. #20295347 | C2 | semidirect |
| 3. #20295308 | C2 | semidirect |
| 4. #20295303 | C2 | semidirect |
| 5. #20295223 | C2 | semidirect |
| 6. #20295218 | C2 | semidirect |
| 7. #20295169 | C2 | semidirect |
| 8. #20295136 | C2 | semidirect |
| 9. #20295126 | C2 | semidirect |
| 10. #20295083 | C2 | semidirect |
| 11. #532×C109 | C2 | semidirect |
| 109. D436 | #41 | semidirect |
| 114. Dic218 | #41 | semidirect |
| 145. C109 | #3115 | semidirect |
| 146. #532 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13182029 | 2 |
| #20295347 | 2 |
| #20295308 | 2 |
| #20295303 | 2 |
| #20295223 | 2 |
| #20295218 | 2 |
| #20295169 | 2 |
| #20295136 | 2 |
| #20295126 | 2 |
| #20295083 | 2 |
| #532×C109 | 2 |
| #3115 | 109 |