Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
440 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 440 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 |
|---|---|---|
| 2. #19135572 | C2 | semidirect |
| 3. #19134747 | C2 | semidirect |
| 4. #19133286 | C2 | semidirect |
| 6. #19132469 | C2 | semidirect |
| 99. C42×C43 | SD16 | semidirect |
| 219. C43 | #10520 | semidirect |
| 306. C42 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145911 | 2 |
| #19135572 | 2 |
| #19134747 | 2 |
| #19133286 | 2 |
| #19133272 | 2 |
| #19132469 | 2 |
| C43×#1962 | 2 |
| #10520 | 43 |