Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 2. #20295501 | C2 | semidirect |
| 3. #20295500 | C2 | semidirect |
| 4. #20295135 | C2 | semidirect |
| 5. #20295106 | C2 | semidirect |
| 6. #20295062 | C2 | semidirect |
| 7. #20295032 | C2 | semidirect |
| 8. #20294984 | C2 | semidirect |
| 9. #418×C109 | C2 | semidirect |
| 11. C2×#13182014 | C4 | semidirect |
| 17. D4×Dic109 | C22 | semidirect |
| 18. #16812661 | C22 | semidirect |
| 23. #16812632 | C22 | semidirect |
| 24. #16812630 | C22 | semidirect |
| 25. #16812621 | C22 | semidirect |
| 26. #16812609 | C22 | semidirect |
| 27. C8×Dic109 | C22 | semidirect |
| 31. #102×C109 | C22 | semidirect |
| 35. C2×D436 | C2×C4 | semidirect |
| 39. #13182014 | C2×C4 | semidirect |
| 40. #13182014 | C2×C4 | semidirect |
| 41. C2×#11724784 | C2×C4 | semidirect |
| 55. C2×D4×C109 | C2×C4 | semidirect |
| 109. C109 | #2948 | semidirect |
| 117. #418 | D109 | semidirect |
| 138. #102 | C2×D109 | semidirect |
| 149. C2×D4 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13182014 | 2 |
| #20295501 | 2 |
| #20295500 | 2 |
| #20295135 | 2 |
| #20295106 | 2 |
| #20295062 | 2 |
| #20295032 | 2 |
| #20294984 | 2 |
| #418×C109 | 2 |
| #2948 | 109 |