Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
238 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 71 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×#14582739 | C2 | semidirect |
| 2. C2×#14582737 | C2 | semidirect |
| 3. C2×#14582736 | C2 | semidirect |
| 5. #19136856 | C2 | semidirect |
| 6. C4×C43⋊C32 | C2 | semidirect |
| 7. C43×#2249 | C2 | semidirect |
| 101. #2249 | D43 | semidirect |
| 122. C43 | #13728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582739 | 2 |
| C2×#14582737 | 2 |
| C2×#14582736 | 2 |
| C2×#14582734 | 2 |
| #19136856 | 2 |
| C4×C43⋊C32 | 2 |
| C43×#2249 | 2 |
| #13728 | 43 |