Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
282 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 58. Q16×C43 | Q16 | semidirect |
| 142. C43 | #12406 | semidirect |
| 177. Q16 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×Dic86 | 2 |
| #19136875 | 2 |
| #19133986 | 2 |
| #19132652 | 2 |
| #19132573 | 2 |
| #19132559 | 2 |
| C43×#2225 | 2 |
| #12406 | 43 |