Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
378 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19136353 | C2 | semidirect |
| 5. #19134718 | C2 | semidirect |
| 6. #19132706 | C2 | semidirect |
| 7. C43×#1382 | C2 | semidirect |
| 11. #14583020 | C4 | semidirect |
| 142. #1382 | D43 | semidirect |
| 164. C43 | #12830 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143511 | 2 |
| #19136353 | 2 |
| #19136330 | 2 |
| C2×#14582707 | 2 |
| #19134718 | 2 |
| #19132706 | 2 |
| C43×#1382 | 2 |
| #12830 | 43 |