Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19142973 | C2 | semidirect |
| 5. #19133275 | C2 | semidirect |
| 6. #19133266 | C2 | semidirect |
| 7. C43×#1276 | C2 | semidirect |
| 176. #1276 | D43 | semidirect |
| 203. C43 | #10288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145718 | 2 |
| #19145522 | 2 |
| #19142973 | 2 |
| #19135423 | 2 |
| #19133275 | 2 |
| #19133266 | 2 |
| C43×#1276 | 2 |
| #10288 | 43 |