Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
650 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19136957 | C2 | semidirect |
| 3. #19135514 | C2 | semidirect |
| 4. #19133102 | C2 | semidirect |
| 5. #19133039 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 12. #14583190 | C4 | semidirect |
| 13. #14583095 | C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 35. #13063322 | C2×C4 | semidirect |
| 64. C4⋊C8×C43 | C2×C4 | semidirect |
| 156. D172 | #104 | semidirect |
| 195. #1300 | D43 | semidirect |
| 225. C43 | #9325 | semidirect |
| 254. C4⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144687 | 2 |
| #19136957 | 2 |
| #19135514 | 2 |
| #19133102 | 2 |
| #19133039 | 2 |
| #19132452 | 2 |
| C43×#1300 | 2 |
| #9325 | 43 |