Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 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. #29505247 | C2 | semidirect |
| 3. #29504778 | C2 | semidirect |
| 4. #29504533 | C2 | semidirect |
| 5. C2×#100×C239 | C2 | semidirect |
| 9. #21439956 | C4 | semidirect |
| 22. C2×D956 | C2×C4 | semidirect |
| 27. C4⋊Dic239 | D4 | semidirect |
| 32. C4×Dic239 | C2×C4 | semidirect |
| 87. C239 | #1887 | semidirect |
| 92. C2×#100 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439956 | 2 |
| #29505247 | 2 |
| #29504778 | 2 |
| #29504533 | 2 |
| C2×#100×C239 | 2 |
| #1887 | 239 |