Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19139807 | C2 | semidirect |
| 3. #19133277 | C2 | semidirect |
| 5. #19132990 | C2 | semidirect |
| 6. #19132496 | C2 | semidirect |
| 87. C2×Q8×C43 | SD16 | semidirect |
| 234. C43 | #10244 | semidirect |
| 294. C2×Q8 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145517 | 2 |
| #19139807 | 2 |
| #19133277 | 2 |
| #19133090 | 2 |
| #19132990 | 2 |
| #19132496 | 2 |
| C43×#3037 | 2 |
| #10244 | 43 |