Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 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. #20295654 | C2 | semidirect |
| 3. #20295395 | C2 | semidirect |
| 4. #20295386 | C2 | semidirect |
| 5. #20295381 | C2 | semidirect |
| 6. #20295377 | C2 | semidirect |
| 7. #20295036 | C2 | semidirect |
| 10. C2×#16812624 | C2 | semidirect |
| 11. #405×C109 | C2 | semidirect |
| 128. C109 | #3137 | semidirect |
| 139. #405 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295654 | 2 |
| #20295602 | 2 |
| #20295395 | 2 |
| #20295386 | 2 |
| #20295381 | 2 |
| #20295377 | 2 |
| #20295036 | 2 |
| #20295028 | 2 |
| #20295023 | 2 |
| C2×#16812624 | 2 |
| #405×C109 | 2 |
| #3137 | 109 |