Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
382 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 92. C42×C43 | Q16 | semidirect |
| 201. C43 | #10523 | semidirect |
| 281. C42 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145937 | 2 |
| #19135572 | 2 |
| #19134712 | 2 |
| #19133286 | 2 |
| #19133285 | 2 |
| #19132469 | 2 |
| C43×#1994 | 2 |
| #10523 | 43 |