Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1222 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1222 conjugacy classes of subgroups — too many to draw. Only its 203 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 |
|---|---|---|
| 1. #19144591 | C2 | semidirect |
| 2. #19139500 | C2 | semidirect |
| 3. #19133598 | C2 | semidirect |
| 4. #19133530 | C2 | semidirect |
| 5. #19133155 | C2 | semidirect |
| 6. #19132919 | C2 | semidirect |
| 7. C43×#3497 | C2 | semidirect |
| 94. C2×Q8×C43 | D8 | semidirect |
| 206. #3497 | D43 | semidirect |
| 244. C43 | #18218 | semidirect |
| 307. C2×Q8 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144591 | 2 |
| #19139500 | 2 |
| #19133598 | 2 |
| #19133530 | 2 |
| #19133155 | 2 |
| #19132919 | 2 |
| C43×#3497 | 2 |
| #18218 | 43 |