Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19136383 | C2 | semidirect |
| 5. #19135380 | C2 | semidirect |
| 6. #19132691 | C2 | semidirect |
| 7. C43×#1379 | C2 | semidirect |
| 20. #14582713 | C4 | semidirect |
| 42. #13063261 | C2×C4 | semidirect |
| 56. M32×C43 | C2×C4 | semidirect |
| 160. #1379 | D43 | semidirect |
| 185. C43 | #12940 | semidirect |
| 205. M32 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143448 | 2 |
| #19136383 | 2 |
| C2×#14582713 | 2 |
| C2×#14582701 | 2 |
| #19135380 | 2 |
| #19132691 | 2 |
| C43×#1379 | 2 |
| #12940 | 43 |