Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1110 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1110 conjugacy classes of subgroups — too many to draw. Only its 203 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. C2×#14582665 | C2 | semidirect |
| 11. C43×#381 | C4 | semidirect |
| 12. C43×#379 | C4 | semidirect |
| 146. #381 | Dic43 | semidirect |
| 147. #379 | Dic43 | semidirect |
| 149. C43 | #11166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063240 | 2 |
| C2×#14582665 | 2 |
| C43×#2308 | 2 |
| #11166 | 43 |