Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
220 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20295422 | C2 | semidirect |
| 3. #20295398 | C2 | semidirect |
| 4. #20295374 | C2 | semidirect |
| 5. #20295373 | C2 | semidirect |
| 6. #20294748 | C2 | semidirect |
| 7. #492×C109 | C2 | semidirect |
| 57. #11724784 | SD16 | semidirect |
| 76. C109 | #1715 | semidirect |
| 80. #492 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295422 | 2 |
| #20295402 | 2 |
| #20295398 | 2 |
| #20295374 | 2 |
| #20295373 | 2 |
| #20294748 | 2 |
| #492×C109 | 2 |
| #1715 | 109 |