Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19133354 | C2 | semidirect |
| 3. #19132560 | C2 | semidirect |
| 4. #19132557 | C2 | semidirect |
| 5. C43×#2162 | C2 | semidirect |
| 91. Dic172 | M16 | semidirect |
| 93. D344 | M16 | semidirect |
| 147. #2162 | D43 | semidirect |
| 173. C43 | #11660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063347 | 2 |
| #19133354 | 2 |
| #19132560 | 2 |
| #19132557 | 2 |
| C43×#2162 | 2 |
| #11660 | 43 |