Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
290 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 290 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. #19136820 | C2 | semidirect |
| 2. #19136819 | C2 | semidirect |
| 3. #19136818 | C2 | semidirect |
| 5. #19134204 | C2 | semidirect |
| 6. #19132511 | C2 | semidirect |
| 7. C43×#2240 | C2 | semidirect |
| 107. #2240 | D43 | semidirect |
| 131. C43 | #12513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136820 | 2 |
| #19136819 | 2 |
| #19136818 | 2 |
| #19134209 | 2 |
| #19134204 | 2 |
| #19132511 | 2 |
| C43×#2240 | 2 |
| #12513 | 43 |