Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
440 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19132541 | C2 | semidirect |
| 3. #19132529 | C2 | semidirect |
| 45. C2×Q8×C43 | M16 | semidirect |
| 72. C42×C43 | M16 | semidirect |
| 151. C43 | #11535 | semidirect |
| 180. C2×Q8 | #10621877 | semidirect |
| 209. C42 | #10621877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19132933 | 2 |
| #19132541 | 2 |
| #19132529 | 2 |
| C43×#2326 | 2 |
| #11535 | 43 |