Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
272 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 65. Q16×C43 | Q16 | semidirect |
| 156. C43 | #12415 | semidirect |
| 196. Q16 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147560 | 2 |
| #19136878 | 2 |
| #19134110 | 2 |
| #19132646 | 2 |
| #19132576 | 2 |
| #19132565 | 2 |
| C43×#2227 | 2 |
| #12415 | 43 |