Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20295573 | C2 | semidirect |
| 2. #20295430 | C2 | semidirect |
| 3. #20295401 | C2 | semidirect |
| 4. #20295371 | C2 | semidirect |
| 5. #20295263 | C2 | semidirect |
| 6. #20295261 | C2 | semidirect |
| 7. #20295259 | C2 | semidirect |
| 8. C4×D872 | C2 | semidirect |
| 9. C4×#13182014 | C2 | semidirect |
| 10. C4×C8×D109 | C2 | semidirect |
| 11. C4×D8×C109 | C2 | semidirect |
| 96. C4×D109 | D8 | semidirect |
| 99. C8×C109 | #41 | semidirect |
| 101. #11724784 | #41 | semidirect |
| 128. C109 | #3169 | semidirect |
| 138. C4×D8 | D109 | semidirect |
| 229. C8 | #13182029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295573 | 2 |
| #20295430 | 2 |
| #20295401 | 2 |
| #20295371 | 2 |
| #20295263 | 2 |
| #20295261 | 2 |
| #20295259 | 2 |
| C4×D872 | 2 |
| C4×#13182014 | 2 |
| C4×C8×D109 | 2 |
| C4×D8×C109 | 2 |
| #3169 | 109 |