Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
286 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 15. #10622143 | C4 | semidirect |
| 16. #10622142 | C4 | semidirect |
| 146. C11 | #13169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622144 | 2 |
| #13070400 | 2 |
| #13069364 | 2 |
| #13066712 | 2 |
| C2×C4×C11×C16 | 2 |
| #13169 | 11 |