Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×#21439885 | C2 | semidirect |
| 4. C2×#21439883 | C2 | semidirect |
| 6. #29504534 | C2 | semidirect |
| 7. #340×C239 | C2 | semidirect |
| 12. #21439940 | C4 | semidirect |
| 131. C239 | #1873 | semidirect |
| 139. #340 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439940 | 2 |
| C2×#21439918 | 2 |
| C2×#21439885 | 2 |
| C2×#21439883 | 2 |
| C2×(C2×D239)⋊C8 | 2 |
| #29504534 | 2 |
| #340×C239 | 2 |
| #1873 | 239 |