Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. #20295429 | C2 | semidirect |
| 4. #20294778 | C2 | semidirect |
| 5. #20294775 | C2 | semidirect |
| 6. #20294774 | C2 | semidirect |
| 75. C109 | #1675 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295429 | 2 |
| #20295316 | 2 |
| D4×#11724784 | 2 |
| #20294778 | 2 |
| #20294775 | 2 |
| #20294774 | 2 |
| #476×C109 | 2 |
| #1675 | 109 |