Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20295583 | C2 | semidirect |
| 2. #20295385 | C2 | semidirect |
| 3. #20295380 | C2 | semidirect |
| 4. #20295035 | C2 | semidirect |
| 6. C4×#13182013 | C2 | semidirect |
| 9. #16812699 | C22 | semidirect |
| 10. #16812691 | C22 | semidirect |
| 14. #16812623 | C22 | semidirect |
| 16. #16812610 | C22 | semidirect |
| 17. C4×#11724784 | C22 | semidirect |
| 84. C109 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295583 | 2 |
| #20295385 | 2 |
| #20295380 | 2 |
| #20295035 | 2 |
| #20295031 | 2 |
| C4×#13182013 | 2 |
| C2×#124×C109 | 2 |
| #3140 | 109 |