Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
600 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19143012 | C2 | semidirect |
| 3. #19133039 | C2 | semidirect |
| 4. #19133037 | C2 | semidirect |
| 5. #19132927 | C2 | semidirect |
| 6. #19132459 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 65. C4×C43⋊C8 | D4 | semidirect |
| 75. C4×C8×C43 | D4 | semidirect |
| 227. #1288 | D43 | semidirect |
| 258. C43 | #9492 | semidirect |
| 301. C4×C8 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143012 | 2 |
| #19140163 | 2 |
| #19133039 | 2 |
| #19133037 | 2 |
| #19132927 | 2 |
| #19132459 | 2 |
| C43×#1288 | 2 |
| #9492 | 43 |