Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
746 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 746 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 3. #19132722 | C2 | semidirect |
| 4. #19132721 | C2 | semidirect |
| 5. C43×#1394 | C2 | semidirect |
| 13. #101×D43 | C4 | semidirect |
| 177. #1394 | D43 | semidirect |
| 199. C43 | #12586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#101×D43 | 2 |
| #19137178 | 2 |
| #19132722 | 2 |
| #19132721 | 2 |
| C43×#1394 | 2 |
| #12586 | 43 |