Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1770 conjugacy classes of subgroups; only the 451 normal subgroups are shown.
This group has 1770 conjugacy classes of subgroups — too many to draw. Only its 451 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 |
|---|---|---|
| 2. C2×#10622550 | C2 | semidirect |
| 4. #13066849 | C2 | semidirect |
| 5. C2×C43×C11 | C2 | semidirect |
| 13. C2×#66929 | C4 | semidirect |
| 59. C42×C11 | C22⋊C4 | semidirect |
| 65. C2×C43 | D11 | semidirect |
| 84. C2×C4×C11 | #126 | semidirect |
| 166. C42 | (C2×D11)⋊C4 | semidirect |
| 167. C11 | #14711 | semidirect |
| 190. C2×C4 | #66929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66929 | 2 |
| C2×#10622550 | 2 |
| #13066854 | 2 |
| #13066849 | 2 |
| C2×C43×C11 | 2 |
| #14711 | 11 |