Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 416 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. #19136369 | C2 | semidirect |
| 4. #19135383 | C2 | semidirect |
| 5. #19132710 | C2 | semidirect |
| 6. #19132680 | C2 | semidirect |
| 18. #14582712 | C4 | semidirect |
| 32. #13063265 | C2×C4 | semidirect |
| 35. #13063261 | C2×C4 | semidirect |
| 161. C43 | #12953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143447 | 2 |
| #19136369 | 2 |
| C2×#14582712 | 2 |
| #19135383 | 2 |
| #19132710 | 2 |
| #19132680 | 2 |
| C2×C43×#361 | 2 |
| #12953 | 43 |