Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
658 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 658 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 |
|---|---|---|
| 1. #19145517 | C2 | semidirect |
| 2. #19139548 | C2 | semidirect |
| 3. #19133277 | C2 | semidirect |
| 4. #19133090 | C2 | semidirect |
| 5. #19132986 | C2 | semidirect |
| 6. #19132496 | C2 | semidirect |
| 93. C2×D4×C43 | SD16 | semidirect |
| 247. C43 | #10240 | semidirect |
| 313. C2×D4 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145517 | 2 |
| #19139548 | 2 |
| #19133277 | 2 |
| #19133090 | 2 |
| #19132986 | 2 |
| #19132496 | 2 |
| C43×#3036 | 2 |
| #10240 | 43 |