Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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. C4×C4⋊Dic239 | C2 | semidirect |
| 3. #29504507 | C2 | semidirect |
| 4. #431×C239 | C2 | semidirect |
| 6. #21439960 | C4 | semidirect |
| 7. #21439957 | C4 | semidirect |
| 12. C4×D956 | C4 | semidirect |
| 89. C239 | #1502 | semidirect |
| 92. #431 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505322 | 2 |
| C4×C4⋊Dic239 | 2 |
| #29504507 | 2 |
| #431×C239 | 2 |
| #1502 | 239 |