Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19136368 | C2 | semidirect |
| 3. #19136324 | C2 | semidirect |
| 4. #19136312 | C2 | semidirect |
| 5. #19135505 | C2 | semidirect |
| 6. #19135493 | C2 | semidirect |
| 7. C43×#2110 | C2 | semidirect |
| 12. C2×#13063270 | C4 | semidirect |
| 13. C2×D688 | C4 | semidirect |
| 166. #2110 | D43 | semidirect |
| 194. C43 | #13247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583337 | 2 |
| #19136368 | 2 |
| #19136324 | 2 |
| #19136312 | 2 |
| #19135505 | 2 |
| #19135493 | 2 |
| C43×#2110 | 2 |
| #13247 | 43 |