Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1318 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 191 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. C2×#14583511 | C2 | semidirect |
| 4. #19135742 | C2 | semidirect |
| 5. #19135680 | C2 | semidirect |
| 6. #19134949 | C2 | semidirect |
| 7. #19134905 | C2 | semidirect |
| 8. C43×#1818 | C2 | semidirect |
| 12. C2×#13063325 | C22 | semidirect |
| 14. C2×#13063317 | C22 | semidirect |
| 17. C2×C4×Dic86 | C22 | semidirect |
| 20. C2×#13063250 | C22 | semidirect |
| 26. #14582662 | C22 | semidirect |
| 29. C43×#336 | C22 | semidirect |
| 30. C43×#336 | C22 | semidirect |
| 188. #1818 | D43 | semidirect |
| 215. #336 | C2×D43 | semidirect |
| 216. #336 | C2×D43 | semidirect |
| 217. C43 | #23942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583511 | 2 |
| C2×#14583052 | 2 |
| #19137175 | 2 |
| #19135742 | 2 |
| #19135680 | 2 |
| #19134949 | 2 |
| #19134905 | 2 |
| C43×#1818 | 2 |
| #23942 | 43 |