Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20295431 | C2 | semidirect |
| 2. #20295429 | C2 | semidirect |
| 3. #20295405 | C2 | semidirect |
| 6. #20294748 | C2 | semidirect |
| 70. C109 | #1722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295431 | 2 |
| #20295429 | 2 |
| #20295405 | 2 |
| #20295398 | 2 |
| #20295372 | 2 |
| #20294748 | 2 |
| #486×C109 | 2 |
| #1722 | 109 |