Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
552 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#14583335 | C2 | semidirect |
| 2. #19144315 | C2 | semidirect |
| 3. C2×#14582712 | C2 | semidirect |
| 4. #19136330 | C2 | semidirect |
| 5. #19136223 | C2 | semidirect |
| 6. #19132711 | C2 | semidirect |
| 7. C43×#3058 | C2 | semidirect |
| 41. C2×Dic172 | D4 | semidirect |
| 43. C2×D344 | D4 | semidirect |
| 50. #13063265 | D4 | semidirect |
| 54. #13063261 | D4 | semidirect |
| 207. #3058 | D43 | semidirect |
| 242. C43 | #13310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583335 | 2 |
| #19144315 | 2 |
| C2×#14582712 | 2 |
| #19136330 | 2 |
| #19136223 | 2 |
| #19132711 | 2 |
| C43×#3058 | 2 |
| #13310 | 43 |