Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
358 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 54. C2×Q16×C43 | Q8 | semidirect |
| 176. C43 | #13370 | semidirect |
| 183. C2×Q16 | Dic86 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145135 | 2 |
| C2×#14582703 | 2 |
| #19135511 | 2 |
| #19132704 | 2 |
| #19132690 | 2 |
| #19132685 | 2 |
| C43×#2141 | 2 |
| #13370 | 43 |