Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
438 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 103 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×C4×D956 | C2 | semidirect |
| 3. C2×#21439882 | C2 | semidirect |
| 4. C2×#21439882 | C2 | semidirect |
| 5. #29504674 | C2 | semidirect |
| 6. #29504535 | C2 | semidirect |
| 7. #336×C239 | C2 | semidirect |
| 13. C2×D1912 | C4 | semidirect |
| 37. C2×D956 | C2×C4 | semidirect |
| 61. C2×C8×C239 | C2×C4 | semidirect |
| 85. D956 | C22⋊C4 | semidirect |
| 99. C2×C4×C239 | D8 | semidirect |
| 146. C239 | #1879 | semidirect |
| 154. #336 | D239 | semidirect |
| 201. C2×C8 | C4×D239 | semidirect |
| 246. C2×C4 | D1912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1912 | 2 |
| C2×C4×D956 | 2 |
| C2×#21439882 | 2 |
| #29504674 | 2 |
| #29504535 | 2 |
| #336×C239 | 2 |
| #1879 | 239 |