Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
320 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 83 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. #29504795 | C2 | semidirect |
| 3. C2×#21439888 | C2 | semidirect |
| 4. C2×#21439887 | C2 | semidirect |
| 5. C2×#21439886 | C2 | semidirect |
| 6. #29504618 | C2 | semidirect |
| 7. C2×#104×C239 | C2 | semidirect |
| 10. #21439958 | C4 | semidirect |
| 11. #21439956 | C4 | semidirect |
| 12. #21439949 | C4 | semidirect |
| 13. #21439947 | C4 | semidirect |
| 48. C4×Dic239 | D4 | semidirect |
| 63. C42×C239 | D4 | semidirect |
| 125. C239 | #1963 | semidirect |
| 132. C2×#104 | D239 | semidirect |
| 189. C42 | C22⋊D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505318 | 2 |
| #29504795 | 2 |
| C2×#21439888 | 2 |
| C2×#21439887 | 2 |
| C2×#21439886 | 2 |
| #29504618 | 2 |
| C2×#104×C239 | 2 |
| #1963 | 239 |