Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 2. #19135409 | C2 | semidirect |
| 3. C2×#14582638 | C2 | semidirect |
| 4. #19132476 | C2 | semidirect |
| 5. C43×#1847 | C2 | semidirect |
| 48. #97×C43 | D4 | semidirect |
| 146. #1847 | D43 | semidirect |
| 169. C43 | #10424 | semidirect |
| 196. #97 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142641 | 2 |
| #19135409 | 2 |
| C2×#14582638 | 2 |
| #19132476 | 2 |
| C43×#1847 | 2 |
| #10424 | 43 |