Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×C4×Dic218 | C2 | semidirect |
| 2. #20295359 | C2 | semidirect |
| 4. #20295330 | C2 | semidirect |
| 5. #20295245 | C2 | semidirect |
| 6. #20295181 | C2 | semidirect |
| 8. #20295131 | C2 | semidirect |
| 9. #20295126 | C2 | semidirect |
| 10. #20295083 | C2 | semidirect |
| 132. C109 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic218 | 2 |
| #20295359 | 2 |
| #20295342 | 2 |
| #20295330 | 2 |
| #20295245 | 2 |
| #20295181 | 2 |
| #20295164 | 2 |
| #20295131 | 2 |
| #20295126 | 2 |
| #20295083 | 2 |
| #529×C109 | 2 |
| #3117 | 109 |