Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
484 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 484 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 |
|---|---|---|
| 2. C4×#13063347 | C2 | semidirect |
| 3. #19136331 | C2 | semidirect |
| 4. #19136322 | C2 | semidirect |
| 5. #19132709 | C2 | semidirect |
| 6. #19132677 | C2 | semidirect |
| 7. C43×#1974 | C2 | semidirect |
| 10. #14583340 | C4 | semidirect |
| 12. #14583335 | C4 | semidirect |
| 50. #13063265 | C2×C4 | semidirect |
| 62. C2×Q16×C43 | C2×C4 | semidirect |
| 64. C2×D8×C43 | C2×C4 | semidirect |
| 190. #1974 | D43 | semidirect |
| 220. C43 | #13027 | semidirect |
| 232. 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 |
|---|---|
| #19147729 | 2 |
| C4×#13063347 | 2 |
| #19136331 | 2 |
| #19136322 | 2 |
| #19132709 | 2 |
| #19132677 | 2 |
| C43×#1974 | 2 |
| #13027 | 43 |