Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 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. #20295576 | C2 | semidirect |
| 2. #20295560 | C2 | semidirect |
| 3. #20295435 | C2 | semidirect |
| 4. #20295415 | C2 | semidirect |
| 5. #20295391 | C2 | semidirect |
| 6. #20295386 | C2 | semidirect |
| 7. #20295279 | C2 | semidirect |
| 8. #20295272 | C2 | semidirect |
| 9. C4×#13182018 | C2 | semidirect |
| 10. C4×D872 | C2 | semidirect |
| 11. C4×M16×C109 | C2 | semidirect |
| 110. C8×C109 | #41 | semidirect |
| 138. C109 | #3171 | semidirect |
| 149. C4×M16 | D109 | semidirect |
| 248. C8 | #13182029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295576 | 2 |
| #20295560 | 2 |
| #20295435 | 2 |
| #20295415 | 2 |
| #20295391 | 2 |
| #20295386 | 2 |
| #20295279 | 2 |
| #20295272 | 2 |
| C4×#13182018 | 2 |
| C4×D872 | 2 |
| C4×M16×C109 | 2 |
| #3171 | 109 |