Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143186 | C2 | semidirect |
| 3. #19136331 | C2 | semidirect |
| 4. #19136222 | C2 | semidirect |
| 5. #19132710 | C2 | semidirect |
| 6. #19132693 | C2 | semidirect |
| 7. C2×C43×#360 | C2 | semidirect |
| 12. #14583171 | C4 | semidirect |
| 13. #14583166 | C4 | semidirect |
| 53. #13063261 | C2×C4 | semidirect |
| 66. C2×Q16×C43 | C2×C4 | semidirect |
| 68. C2×D8×C43 | C2×C4 | semidirect |
| 191. C2×#360 | D43 | semidirect |
| 222. C43 | #13005 | semidirect |
| 234. C2×Q16 | C4×D43 | semidirect |
| 236. C2×D8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144311 | 2 |
| #19143186 | 2 |
| #19136331 | 2 |
| #19136222 | 2 |
| #19132710 | 2 |
| #19132693 | 2 |
| C2×C43×#360 | 2 |
| #13005 | 43 |