Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
308 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19147551 | C2 | semidirect |
| 2. #19136836 | C2 | semidirect |
| 3. #19134076 | C2 | semidirect |
| 4. #19132646 | C2 | semidirect |
| 5. #19132576 | C2 | semidirect |
| 6. #19132562 | C2 | semidirect |
| 74. D8×C43 | SD16 | semidirect |
| 172. C43 | #12360 | semidirect |
| 221. D8 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147551 | 2 |
| #19136836 | 2 |
| #19134076 | 2 |
| #19132646 | 2 |
| #19132576 | 2 |
| #19132562 | 2 |
| C43×#2206 | 2 |
| #12360 | 43 |