Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 1. C2×#21439904 | C2 | semidirect |
| 2. #29505155 | C2 | semidirect |
| 3. D8×Dic239 | C2 | semidirect |
| 4. Dic239⋊C16 | C2 | semidirect |
| 5. #29504577 | C2 | semidirect |
| 6. #29504573 | C2 | semidirect |
| 76. C239 | #2210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#21439904 | 2 |
| #29505155 | 2 |
| D8×Dic239 | 2 |
| Dic239⋊C16 | 2 |
| #29504577 | 2 |
| #29504573 | 2 |
| C2×D16×C239 | 2 |
| #2210 | 239 |