Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
220 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. C2×#21439900 | C2 | semidirect |
| 2. C2×#21439896 | C2 | semidirect |
| 3. #29504579 | C2 | semidirect |
| 8. C2×C239⋊C16 | C22 | semidirect |
| 10. #21439896 | C22 | semidirect |
| 83. C239 | #2143 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439900 | 2 |
| C2×#21439896 | 2 |
| #29504579 | 2 |
| C2×#135×C239 | 2 |
| #2143 | 239 |