Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
540 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19142581 | C2 | semidirect |
| 5. #19132721 | C2 | semidirect |
| 6. #19132721 | C2 | semidirect |
| 7. C43×#1394 | C2 | semidirect |
| 228. #1394 | D43 | semidirect |
| 254. C43 | #13379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142581 | 2 |
| #19134556 | 2 |
| #19134553 | 2 |
| #19132721 | 2 |
| C43×#1394 | 2 |
| #13379 | 43 |