Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20295631 | C2 | semidirect |
| 2. #20295326 | C2 | semidirect |
| 3. #20295323 | C2 | semidirect |
| 4. #20295277 | C2 | semidirect |
| 5. #20295260 | C2 | semidirect |
| 6. #20295221 | C2 | semidirect |
| 7. #20295218 | C2 | semidirect |
| 8. #20295053 | C2 | semidirect |
| 9. #540×C109 | C2 | semidirect |
| 107. C109 | #3259 | semidirect |
| 109. #540 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295631 | 2 |
| #20295326 | 2 |
| #20295323 | 2 |
| #20295277 | 2 |
| #20295260 | 2 |
| #20295221 | 2 |
| #20295218 | 2 |
| #20295053 | 2 |
| #540×C109 | 2 |
| #3259 | 109 |