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. #20296058 | C2 | semidirect |
| 4. #20296056 | C2 | semidirect |
| 5. #20296051 | C2 | semidirect |
| 6. #20296046 | C2 | semidirect |
| 7. #20296033 | C2 | semidirect |
| 8. #20296029 | 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 |
| #20296058 | 2 |
| #20296056 | 2 |
| #20296051 | 2 |
| #20296046 | 2 |
| #20296033 | 2 |
| #20296029 | 2 |
| #20295562 | 2 |
| #2995 | 109 |