Finite Group DatabasebetaFinite Group DatabasebetaOrder 28544.
246 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 4. C2×#16813154 | C4 | semidirect |
| 9. C223⋊#95 | C4 | semidirect |
| 13. #95×C223 | C4 | semidirect |
| 76. C223 | #1297 | semidirect |
| 90. #95 | Dic223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28383544 | 2 |
| C4×C22⋊Dic223 | 2 |
| C4×C22⋊C4×C223 | 2 |
| #1297 | 223 |