Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
528 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 131 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×#14582708 | C2 | semidirect |
| 3. #19136206 | C2 | semidirect |
| 4. #19132702 | C2 | semidirect |
| 5. C2×C43×#427 | C2 | semidirect |
| 9. #14583140 | C4 | semidirect |
| 10. #14583135 | C4 | semidirect |
| 54. #106×C43 | D4 | semidirect |
| 153. C2×#427 | D43 | semidirect |
| 178. C43 | #13002 | semidirect |
| 210. #106 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144176 | 2 |
| C2×#14582708 | 2 |
| #19136206 | 2 |
| #19132702 | 2 |
| C2×C43×#427 | 2 |
| #13002 | 43 |