Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
278 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 278 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 |
|---|---|---|
| 228. C11 | #12363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070863 | 2 |
| #13070666 | 2 |
| #13068110 | 2 |
| #13066668 | 2 |
| #13066598 | 2 |
| #13066586 | 2 |
| C11×#3390 | 2 |
| #12363 | 11 |