Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20295741 | C2 | semidirect |
| 2. #20295679 | C2 | semidirect |
| 3. #20295422 | C2 | semidirect |
| 4. #20295353 | C2 | semidirect |
| 5. #20295343 | C2 | semidirect |
| 6. #20295317 | C2 | semidirect |
| 7. #20295278 | C2 | semidirect |
| 8. C4×#13182014 | C2 | semidirect |
| 9. #20295103 | C2 | semidirect |
| 10. #20295067 | C2 | semidirect |
| 11. #474×C109 | C2 | semidirect |
| 101. #11724784 | #41 | semidirect |
| 128. C109 | #3354 | semidirect |
| 135. #474 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295741 | 2 |
| #20295679 | 2 |
| #20295422 | 2 |
| #20295353 | 2 |
| #20295343 | 2 |
| #20295317 | 2 |
| #20295278 | 2 |
| C4×#13182014 | 2 |
| #20295103 | 2 |
| #20295067 | 2 |
| #474×C109 | 2 |
| #3354 | 109 |