Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
950 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19145515 | C2 | semidirect |
| 2. #19142990 | C2 | semidirect |
| 3. #19135423 | C2 | semidirect |
| 4. #19133262 | C2 | semidirect |
| 5. C43×#1276 | C2 | semidirect |
| 26. #13063325 | D4 | semidirect |
| 34. #13063322 | D4 | semidirect |
| 44. C4⋊C8×C43 | D4 | semidirect |
| 73. C42×C43 | D8 | semidirect |
| 135. #1276 | D43 | semidirect |
| 154. C43 | #10280 | semidirect |
| 178. C4⋊C8 | D172 | semidirect |
| 214. C42 | D344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145515 | 2 |
| #19142990 | 2 |
| #19135423 | 2 |
| #19133262 | 2 |
| C43×#1276 | 2 |
| #10280 | 43 |