Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1550 conjugacy classes of subgroups; only the 651 normal subgroups are shown.
This group has 1550 conjugacy classes of subgroups — too many to draw. Only its 651 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 |
|---|---|---|
| 9. C11×#376 | C4 | semidirect |
| 43. C42×C11 | C4⋊C4 | semidirect |
| 75. #376 | Dic11 | semidirect |
| 125. C42 | C4⋊Dic11 | semidirect |
| 126. C11 | #14354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622548 | 2 |
| C2×#10622549 | 2 |
| #13066881 | 2 |
| C2×C11×#376 | 2 |
| #14354 | 11 |