Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
374 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 374 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. #20295746 | C2 | semidirect |
| 3. #20295431 | C2 | semidirect |
| 4. #20295362 | C2 | semidirect |
| 5. #20295351 | C2 | semidirect |
| 6. #20295312 | C2 | semidirect |
| 7. #20295307 | C2 | semidirect |
| 8. #20295272 | C2 | semidirect |
| 9. C4×#13182018 | C2 | semidirect |
| 10. #20295068 | C2 | semidirect |
| 11. #436×C109 | C2 | semidirect |
| 99. C8×C109 | #41 | semidirect |
| 123. C109 | #3353 | semidirect |
| 133. #436 | D109 | semidirect |
| 222. C8 | #13182028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295746 | 2 |
| #20295680 | 2 |
| #20295431 | 2 |
| #20295362 | 2 |
| #20295351 | 2 |
| #20295312 | 2 |
| #20295307 | 2 |
| #20295272 | 2 |
| C4×#13182018 | 2 |
| #20295068 | 2 |
| #436×C109 | 2 |
| #3353 | 109 |