Finite Group DatabasebetaFinite Group DatabasebetaOrder 25472.
248 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 14. #20263878 | C4 | semidirect |
| 105. C199 | #1935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263880 | 2 |
| C2×#20263878 | 2 |
| C2×#20263865 | 2 |
| #27163923 | 2 |
| #27163917 | 2 |
| #27163780 | 2 |
| #340×C199 | 2 |
| #1935 | 199 |