Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
306 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19136395 | C2 | semidirect |
| 3. #19134731 | C2 | semidirect |
| 4. #19132614 | C2 | semidirect |
| 5. #19132612 | C2 | semidirect |
| 176. C43 | #11866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145160 | 2 |
| #19136395 | 2 |
| #19134731 | 2 |
| #19132614 | 2 |
| #19132612 | 2 |
| #19132610 | 2 |
| C43×#1349 | 2 |
| #11866 | 43 |