Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
152 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 38. #11724786 | Q16 | semidirect |
| 53. C109 | #1591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296076 | 2 |
| #20295889 | 2 |
| #20295876 | 2 |
| C8×#11724786 | 2 |
| #20295120 | 2 |
| #1591 | 109 |