Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 2. #19133341 | C2 | semidirect |
| 3. C2×#14582649 | C2 | semidirect |
| 6. #19132446 | C2 | semidirect |
| 7. C43×#1283 | C2 | semidirect |
| 155. #1283 | D43 | semidirect |
| 181. C43 | #8607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143240 | 2 |
| #19133341 | 2 |
| C2×#14582649 | 2 |
| #19132983 | 2 |
| #19132980 | 2 |
| #19132446 | 2 |
| C43×#1283 | 2 |
| #8607 | 43 |