Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
216 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #20294774 | C2 | semidirect |
| 4. #20294771 | C2 | semidirect |
| 80. C109 | #1550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295583 | 2 |
| C2×C4⋊#11724784 | 2 |
| #20294774 | 2 |
| #20294771 | 2 |
| #423×C109 | 2 |
| #1550 | 109 |