Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
384 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19133358 | C2 | semidirect |
| 3. #19133196 | C2 | semidirect |
| 5. #19132950 | C2 | semidirect |
| 7. C43×#1451 | C2 | semidirect |
| 176. #1451 | D43 | semidirect |
| 205. C43 | #9790 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583254 | 2 |
| #19133358 | 2 |
| #19133196 | 2 |
| #19133192 | 2 |
| #19132950 | 2 |
| #19132946 | 2 |
| C43×#1451 | 2 |
| #9790 | 43 |