Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
246 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136428 | C2 | semidirect |
| 2. #19133957 | C2 | semidirect |
| 4. #19132667 | C2 | semidirect |
| 5. #19132644 | C2 | semidirect |
| 6. #19132641 | C2 | semidirect |
| 7. C43×#2248 | C2 | semidirect |
| 72. C16×C43 | D8 | semidirect |
| 113. #2248 | D43 | semidirect |
| 140. C43 | #12435 | semidirect |
| 191. C16 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136428 | 2 |
| #19133957 | 2 |
| #19133947 | 2 |
| #19132667 | 2 |
| #19132644 | 2 |
| #19132641 | 2 |
| C43×#2248 | 2 |
| #12435 | 43 |