Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
374 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 42. #13063236 | Q8 | semidirect |
| 58. #97×C43 | Q8 | semidirect |
| 59. #97×C43 | Q8 | semidirect |
| 193. C43 | #10584 | semidirect |
| 217. #97 | Dic86 | semidirect |
| 218. #97 | Dic86 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142867 | 2 |
| #19134763 | 2 |
| #19134729 | 2 |
| #19134728 | 2 |
| #19132477 | 2 |
| C43×#1295 | 2 |
| #10584 | 43 |