Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 1. #19147697 | C2 | semidirect |
| 3. C2×#14582709 | C2 | semidirect |
| 4. #19134651 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132694 | C2 | semidirect |
| 7. C43×#2143 | C2 | semidirect |
| 14. #14583171 | C4 | semidirect |
| 15. #14583166 | C4 | semidirect |
| 176. #2143 | D43 | semidirect |
| 205. C43 | #13070 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147697 | 2 |
| #19144311 | 2 |
| C2×#14582709 | 2 |
| #19134651 | 2 |
| #19132708 | 2 |
| #19132694 | 2 |
| C43×#2143 | 2 |
| #13070 | 43 |