Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
798 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 798 conjugacy classes of subgroups — too many to draw. Only its 211 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 |
|---|---|---|
| 1. #13079171 | C2 | semidirect |
| 2. #13079130 | C2 | semidirect |
| 3. #13068247 | C2 | semidirect |
| 4. #13068242 | C2 | semidirect |
| 5. #13068235 | C2 | semidirect |
| 6. C2×#10622093 | C2 | semidirect |
| 71. C2×C8×C11 | SD16 | semidirect |
| 193. C2×C8 | #4324 | semidirect |
| 206. C11 | #19608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079171 | 2 |
| #13079130 | 2 |
| #13068247 | 2 |
| #13068242 | 2 |
| #13068235 | 2 |
| C2×#10622093 | 2 |
| C11×#3147 | 2 |
| #19608 | 11 |