Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
600 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. C2×#14582956 | C2 | semidirect |
| 3. C2×#14582638 | C2 | semidirect |
| 4. #19132477 | C2 | semidirect |
| 5. C43×#1749 | C2 | semidirect |
| 45. #13063236 | D4 | semidirect |
| 201. #1749 | D43 | semidirect |
| 232. C43 | #9124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582956 | 2 |
| #19142896 | 2 |
| C2×#14582638 | 2 |
| #19132477 | 2 |
| C43×#1749 | 2 |
| #9124 | 43 |