Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20295581 | C2 | semidirect |
| 3. #20295320 | C2 | semidirect |
| 4. #20295303 | C2 | semidirect |
| 5. #20295273 | C2 | semidirect |
| 6. #20295271 | C2 | semidirect |
| 7. #20295232 | C2 | semidirect |
| 8. #20295231 | C2 | semidirect |
| 9. #20295225 | C2 | semidirect |
| 10. #20295048 | C2 | semidirect |
| 11. #474×C109 | C2 | semidirect |
| 143. C109 | #3254 | semidirect |
| 148. #474 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| #20295573 | 2 |
| #20295320 | 2 |
| #20295303 | 2 |
| #20295273 | 2 |
| #20295271 | 2 |
| #20295232 | 2 |
| #20295231 | 2 |
| #20295225 | 2 |
| #20295048 | 2 |
| #474×C109 | 2 |
| #3254 | 109 |