Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19134733 | C2 | semidirect |
| 3. #19133047 | C2 | semidirect |
| 4. #19133047 | C2 | semidirect |
| 5. C2×C43×#322 | C2 | semidirect |
| 118. C2×#322 | D43 | semidirect |
| 138. C43 | #9860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145023 | 2 |
| #19134733 | 2 |
| #19133047 | 2 |
| C2×C43×#322 | 2 |
| #9860 | 43 |