Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 24. #13063325 | Q8 | semidirect |
| 25. #13063325 | Q8 | semidirect |
| 176. C43 | #10363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142971 | 2 |
| #19135571 | 2 |
| #19133160 | 2 |
| #19133158 | 2 |
| #19132455 | 2 |
| #19132427 | 2 |
| C43×#1286 | 2 |
| #10363 | 43 |