Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
342 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #20295311 | C2 | semidirect |
| 3. #20295308 | C2 | semidirect |
| 5. #20295236 | C2 | semidirect |
| 6. #20295233 | C2 | semidirect |
| 105. C109 | #3255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295583 | 2 |
| #20295311 | 2 |
| #20295308 | 2 |
| #20295282 | 2 |
| #20295236 | 2 |
| #20295233 | 2 |
| #20295050 | 2 |
| #533×C109 | 2 |
| #3255 | 109 |