Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
152 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 57. #11724784 | Q16 | semidirect |
| 72. C109 | #1584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295157 | 2 |
| #20295150 | 2 |
| C4×#13182019 | 2 |
| #20294778 | 2 |
| #20294758 | 2 |
| #20294748 | 2 |
| Q8⋊C8×C109 | 2 |
| #1584 | 109 |