Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#13182018 | C2 | semidirect |
| 3. #20295597 | C2 | semidirect |
| 4. #20295500 | C2 | semidirect |
| 5. #20295240 | C2 | semidirect |
| 6. #20295230 | C2 | semidirect |
| 7. #20295052 | C2 | semidirect |
| 8. #20295034 | C2 | semidirect |
| 9. #416×C109 | C2 | semidirect |
| 18. #16812697 | C22 | semidirect |
| 19. #16812686 | C22 | semidirect |
| 26. #16812628 | C22 | semidirect |
| 27. #16812622 | C22 | semidirect |
| 31. #103×C109 | C22 | semidirect |
| 32. #102×C109 | C22 | semidirect |
| 117. C109 | #3042 | semidirect |
| 126. #416 | D109 | semidirect |
| 148. #103 | C2×D109 | semidirect |
| 149. #102 | C2×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812724 | 2 |
| C22×#13182018 | 2 |
| #20295597 | 2 |
| #20295500 | 2 |
| #20295240 | 2 |
| #20295230 | 2 |
| #20295052 | 2 |
| #20295034 | 2 |
| #416×C109 | 2 |
| #3042 | 109 |