Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. C4×#13182029 | C2 | semidirect |
| 3. #20295044 | C2 | semidirect |
| 4. C2×#16812627 | C2 | semidirect |
| 5. #20294999 | C2 | semidirect |
| 6. #20294798 | C2 | semidirect |
| 7. #339×C109 | C2 | semidirect |
| 11. #16812732 | C4 | semidirect |
| 13. #16812727 | C4 | semidirect |
| 37. C2×Dic218 | C2×C4 | semidirect |
| 39. C2×D436 | C2×C4 | semidirect |
| 62. M16×C109 | C2×C4 | semidirect |
| 130. C109 | #1906 | semidirect |
| 137. #339 | D109 | semidirect |
| 185. M16 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295826 | 2 |
| C4×#13182029 | 2 |
| #20295044 | 2 |
| C2×#16812627 | 2 |
| #20294999 | 2 |
| #20294798 | 2 |
| #339×C109 | 2 |
| #1906 | 109 |