Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
522 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19136204 | C2 | semidirect |
| 3. #19132521 | C2 | semidirect |
| 4. #19132520 | C2 | semidirect |
| 5. C43×#1315 | C2 | semidirect |
| 15. C22⋊(C43⋊C16) | C22 | semidirect |
| 18. C43×C22⋊C16 | C22 | semidirect |
| 172. #1315 | D43 | semidirect |
| 192. C22⋊C16 | C2×D43 | semidirect |
| 193. C43 | #11421 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #408×D43 | 2 |
| #19136204 | 2 |
| #19132521 | 2 |
| #19132520 | 2 |
| C43×#1315 | 2 |
| #11421 | 43 |