Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
618 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 199 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 |
|---|---|---|
| 3. C2×#10622092 | C2 | semidirect |
| 4. C11⋊#1273 | C2 | semidirect |
| 5. C11×#1273 | C2 | semidirect |
| 72. C2×C11⋊C8 | M16 | semidirect |
| 78. #1273 | D11 | semidirect |
| 196. C11 | #8147 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#4313 | 2 |
| C4×(C2×D11)⋊C8 | 2 |
| C2×#10622092 | 2 |
| C11⋊#1273 | 2 |
| C11×#1273 | 2 |
| #8147 | 11 |