Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20295748 | C2 | semidirect |
| 2. #20295419 | C2 | semidirect |
| 4. #20295248 | C2 | semidirect |
| 6. #20295235 | C2 | semidirect |
| 7. #20295156 | C2 | semidirect |
| 8. #20295125 | C2 | semidirect |
| 9. C4×Q16×C109 | C2 | semidirect |
| 103. C109 | #3402 | semidirect |
| 112. C4×Q16 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295748 | 2 |
| #20295419 | 2 |
| #20295410 | 2 |
| #20295248 | 2 |
| #20295244 | 2 |
| #20295235 | 2 |
| #20295156 | 2 |
| #20295125 | 2 |
| C4×Q16×C109 | 2 |
| #3402 | 109 |