Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
232 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. C2×#21439894 | C2 | semidirect |
| 3. #29504577 | C2 | semidirect |
| 4. #29504574 | C2 | semidirect |
| 5. C2×M32×C239 | C2 | semidirect |
| 8. #21439982 | C4 | semidirect |
| 26. Dic956 | C2×C4 | semidirect |
| 29. D1912 | C2×C4 | semidirect |
| 73. C239 | #2139 | semidirect |
| 76. C2×M32 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439982 | 2 |
| C2×#21439894 | 2 |
| #29504577 | 2 |
| #29504574 | 2 |
| C2×M32×C239 | 2 |
| #2139 | 239 |