Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
| 5. #20294778 | C2 | semidirect |
| 6. #20294771 | C2 | semidirect |
| 7. #333×C109 | C2 | semidirect |
| 59. #11724784 | SD16 | semidirect |
| 77. C109 | #1691 | semidirect |
| 83. #333 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295422 | 2 |
| #20295313 | 2 |
| #20295232 | 2 |
| #20295103 | 2 |
| #20294778 | 2 |
| #20294771 | 2 |
| #333×C109 | 2 |
| #1691 | 109 |