Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 3. #19136847 | C2 | semidirect |
| 4. #19134211 | C2 | semidirect |
| 6. #19132511 | C2 | semidirect |
| 7. C43×#2247 | C2 | semidirect |
| 96. #2247 | D43 | semidirect |
| 116. C43 | #12520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136852 | 2 |
| #19136851 | 2 |
| #19136847 | 2 |
| #19134211 | 2 |
| #19134202 | 2 |
| #19132511 | 2 |
| C43×#2247 | 2 |
| #12520 | 43 |