Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
626 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19142993 | C2 | semidirect |
| 4. #19133281 | C2 | semidirect |
| 5. #19133277 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 100. C42×C43 | SD16 | semidirect |
| 203. C43 | #10283 | semidirect |
| 287. C42 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145720 | 2 |
| #19145517 | 2 |
| #19142993 | 2 |
| #19133281 | 2 |
| #19133277 | 2 |
| #19132428 | 2 |
| C43×#1962 | 2 |
| #10283 | 43 |