Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136354 | C2 | semidirect |
| 3. C2×#14582712 | C2 | semidirect |
| 4. C2×#14582711 | C2 | semidirect |
| 5. #19135505 | C2 | semidirect |
| 6. #19132688 | C2 | semidirect |
| 7. C43×#1978 | C2 | semidirect |
| 158. #1978 | D43 | semidirect |
| 183. C43 | #13439 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063266 | 2 |
| #19136354 | 2 |
| C2×#14582712 | 2 |
| C2×#14582711 | 2 |
| #19135505 | 2 |
| #19132688 | 2 |
| C43×#1978 | 2 |
| #13439 | 43 |