Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
236 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #19132664 | C2 | semidirect |
| 5. #19132659 | C2 | semidirect |
| 6. #19132658 | C2 | semidirect |
| 7. C43×#1370 | C2 | semidirect |
| 110. #1370 | D43 | semidirect |
| 132. C43 | #12018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136393 | 2 |
| #19136349 | 2 |
| C8×#10621872 | 2 |
| #19132664 | 2 |
| #19132659 | 2 |
| #19132658 | 2 |
| C43×#1370 | 2 |
| #12018 | 43 |