Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20295754 | C2 | semidirect |
| 4. #20295406 | C2 | semidirect |
| 6. #20295236 | C2 | semidirect |
| 7. #20295235 | C2 | semidirect |
| 9. #20295156 | C2 | semidirect |
| 10. #20295132 | C2 | semidirect |
| 120. C109 | #3398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295754 | 2 |
| #20295746 | 2 |
| #20295417 | 2 |
| #20295406 | 2 |
| #20295247 | 2 |
| #20295236 | 2 |
| #20295235 | 2 |
| #20295231 | 2 |
| #20295156 | 2 |
| #20295132 | 2 |
| C4×SD16×C109 | 2 |
| #3398 | 109 |