Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
346 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 144 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. #20296077 | C2 | semidirect |
| 2. #20296059 | C2 | semidirect |
| 3. #20296057 | C2 | semidirect |
| 4. #20296055 | C2 | semidirect |
| 5. #20296050 | C2 | semidirect |
| 6. #20296048 | C2 | semidirect |
| 7. #20296032 | C2 | semidirect |
| 8. #20296031 | C2 | semidirect |
| 115. C109 | #2995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296077 | 2 |
| #20296059 | 2 |
| #20296057 | 2 |
| #20296055 | 2 |
| #20296050 | 2 |
| #20296048 | 2 |
| #20296032 | 2 |
| #20296031 | 2 |
| #20295555 | 2 |
| #2995 | 109 |