Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #20295461 | C2 | semidirect |
| 2. #20295403 | C2 | semidirect |
| 3. #20294847 | C2 | semidirect |
| 4. #20294838 | C2 | semidirect |
| 5. #443×C109 | C2 | semidirect |
| 25. Q16×C109 | D4 | semidirect |
| 27. D8×C109 | D4 | semidirect |
| 62. C109 | #2213 | semidirect |
| 65. #443 | D109 | semidirect |
| 82. Q16 | D436 | semidirect |
| 88. D8 | D436 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295461 | 2 |
| #20295403 | 2 |
| #20294847 | 2 |
| #20294838 | 2 |
| #443×C109 | 2 |
| #2213 | 109 |