Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
560 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 197 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. #29504662 | C2 | semidirect |
| 4. #29504638 | C2 | semidirect |
| 5. #29504634 | C2 | semidirect |
| 6. C4×C4⋊Dic239 | C2 | semidirect |
| 7. #29504619 | C2 | semidirect |
| 8. C4×C4⋊C4×C239 | C2 | semidirect |
| 11. C4×D956 | C4 | semidirect |
| 97. C239 | #2357 | semidirect |
| 105. C4×C4⋊C4 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D956 | 2 |
| #29504674 | 2 |
| #29504662 | 2 |
| #29504638 | 2 |
| #29504634 | 2 |
| C4×C4⋊Dic239 | 2 |
| #29504619 | 2 |
| C4×C4⋊C4×C239 | 2 |
| #2357 | 239 |