Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19139080 | C2 | semidirect |
| 4. #19134679 | C2 | semidirect |
| 5. #19133166 | C2 | semidirect |
| 6. #19132443 | C2 | semidirect |
| 242. C43 | #9953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145352 | 2 |
| C2×#14583210 | 2 |
| #19139080 | 2 |
| #19134679 | 2 |
| #19133166 | 2 |
| #19132443 | 2 |
| C43×#1964 | 2 |
| #9953 | 43 |