Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
242 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 242 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. #20295403 | C2 | semidirect |
| 2. #20295402 | C2 | semidirect |
| 3. #20295402 | C2 | semidirect |
| 4. #20295400 | C2 | semidirect |
| 5. #20295374 | C2 | semidirect |
| 6. #20294748 | C2 | semidirect |
| 7. #486×C109 | C2 | semidirect |
| 60. #11724784 | D8 | semidirect |
| 82. C109 | #1721 | semidirect |
| 88. #486 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295403 | 2 |
| #20295402 | 2 |
| #20295400 | 2 |
| #20295374 | 2 |
| #20294748 | 2 |
| #486×C109 | 2 |
| #1721 | 109 |