Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #20295332 | C2 | semidirect |
| 4. #20295331 | C2 | semidirect |
| 5. #20295318 | C2 | semidirect |
| 6. #20295312 | C2 | semidirect |
| 7. #20295311 | C2 | semidirect |
| 11. #477×C109 | C2 | semidirect |
| 47. Q8×D109 | Q8 | semidirect |
| 131. C109 | #3078 | semidirect |
| 137. #477 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| C4×Q8×D109 | 2 |
| #20295332 | 2 |
| #20295331 | 2 |
| #20295318 | 2 |
| #20295312 | 2 |
| #20295311 | 2 |
| #20295067 | 2 |
| #20295048 | 2 |
| #20295033 | 2 |
| #477×C109 | 2 |
| #3078 | 109 |