Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
620 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 620 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 |
|---|---|---|
| 2. #19137506 | C2 | semidirect |
| 3. #19133156 | C2 | semidirect |
| 4. #19133089 | C2 | semidirect |
| 5. #19132987 | C2 | semidirect |
| 6. #19132455 | C2 | semidirect |
| 7. C43×#1303 | C2 | semidirect |
| 13. #14583105 | C4 | semidirect |
| 14. #14583095 | C4 | semidirect |
| 37. #13063325 | C2×C4 | semidirect |
| 38. #13063322 | C2×C4 | semidirect |
| 69. C4⋊C8×C43 | C2×C4 | semidirect |
| 213. #1303 | D43 | semidirect |
| 243. C43 | #9179 | semidirect |
| 277. C4⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144061 | 2 |
| #19137506 | 2 |
| #19133156 | 2 |
| #19133089 | 2 |
| #19132987 | 2 |
| #19132455 | 2 |
| C43×#1303 | 2 |
| #9179 | 43 |