Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
248 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 76 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. #20295876 | C2 | semidirect |
| 4. Q8⋊#11724786 | C2 | semidirect |
| 53. Q8×C109 | M16 | semidirect |
| 73. Dic218 | M16 | semidirect |
| 97. C109 | #1487 | semidirect |
| 153. Q8 | #13182039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296045 | 2 |
| #20296030 | 2 |
| #20295876 | 2 |
| Q8⋊#11724786 | 2 |
| C4×Q8×D109 | 2 |
| #1487 | 109 |