Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19136875 | C2 | semidirect |
| 3. #19136872 | C2 | semidirect |
| 4. #19136870 | C2 | semidirect |
| 7. C43×#2252 | C2 | semidirect |
| 35. C16×D43 | Q8 | semidirect |
| 110. #2252 | D43 | semidirect |
| 133. C43 | #33726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145106 | 2 |
| #19136875 | 2 |
| #19136872 | 2 |
| #19136870 | 2 |
| #19136376 | 2 |
| C4×C16×D43 | 2 |
| C43×#2252 | 2 |
| #33726 | 43 |