Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
780 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 97 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×#14583289 | C2 | semidirect |
| 2. #19135418 | C2 | semidirect |
| 3. C2×#14582639 | C2 | semidirect |
| 4. #19132476 | C2 | semidirect |
| 5. C43×#2819 | C2 | semidirect |
| 30. #13063322 | D4 | semidirect |
| 34. #13063236 | D4 | semidirect |
| 141. #2819 | D43 | semidirect |
| 165. C43 | #10078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583289 | 2 |
| #19135418 | 2 |
| C2×#14582639 | 2 |
| #19132476 | 2 |
| C43×#2819 | 2 |
| #10078 | 43 |