Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 3. #19133280 | C2 | semidirect |
| 5. #19132453 | C2 | semidirect |
| 6. #19132426 | C2 | semidirect |
| 7. C43×#1993 | C2 | semidirect |
| 10. #14583273 | C4 | semidirect |
| 11. #14583249 | C4 | semidirect |
| 89. C2×C8×C43 | SD16 | semidirect |
| 171. #1993 | D43 | semidirect |
| 201. C43 | #9289 | semidirect |
| 272. C2×C8 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145520 | 2 |
| #19143314 | 2 |
| #19133280 | 2 |
| #19133154 | 2 |
| #19132453 | 2 |
| #19132426 | 2 |
| C43×#1993 | 2 |
| #9289 | 43 |