Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
560 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 161 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×#21439919 | C2 | semidirect |
| 3. #29504712 | C2 | semidirect |
| 4. #29504709 | C2 | semidirect |
| 5. #29504704 | C2 | semidirect |
| 6. #29504699 | C2 | semidirect |
| 7. #29504697 | C2 | semidirect |
| 9. C4×C4⋊Dic239 | C2 | semidirect |
| 10. C4×(C2×D239)⋊C4 | C2 | semidirect |
| 11. C4×C22⋊C4×C239 | C2 | semidirect |
| 137. C239 | #2395 | semidirect |
| 149. C4×C22⋊C4 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D239 | 2 |
| C2×#21439919 | 2 |
| #29504712 | 2 |
| #29504709 | 2 |
| #29504704 | 2 |
| #29504699 | 2 |
| #29504697 | 2 |
| #29504688 | 2 |
| C4×C4⋊Dic239 | 2 |
| C4×(C2×D239)⋊C4 | 2 |
| C4×C22⋊C4×C239 | 2 |
| #2395 | 239 |