Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
694 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 694 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19133313 | C2 | semidirect |
| 3. #19133311 | C2 | semidirect |
| 4. #19133222 | C2 | semidirect |
| 7. C43×#1534 | C2 | semidirect |
| 227. #1534 | D43 | semidirect |
| 263. C43 | #8525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583529 | 2 |
| #19133313 | 2 |
| #19133311 | 2 |
| #19133222 | 2 |
| #19132927 | 2 |
| C43×#1534 | 2 |
| #8525 | 43 |