Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19136368 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132702 | C2 | semidirect |
| 7. C2×C43×#365 | C2 | semidirect |
| 10. #14583315 | C4 | semidirect |
| 135. C2×#365 | D43 | semidirect |
| 161. C43 | #12833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147697 | 2 |
| #19136368 | 2 |
| #19134655 | 2 |
| #19134650 | 2 |
| #19132708 | 2 |
| #19132702 | 2 |
| C2×C43×#365 | 2 |
| #12833 | 43 |