Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
268 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19136824 | C2 | semidirect |
| 2. #19136823 | C2 | semidirect |
| 4. #19134212 | C2 | semidirect |
| 6. #19132511 | C2 | semidirect |
| 125. C43 | #12512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136824 | 2 |
| #19136823 | 2 |
| #19136818 | 2 |
| #19134212 | 2 |
| #19134200 | 2 |
| #19132511 | 2 |
| C43×#2240 | 2 |
| #12512 | 43 |