Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
278 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 55 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. #29505443 | C2 | semidirect |
| 2. #29505149 | C2 | semidirect |
| 3. #29504973 | C2 | semidirect |
| 4. #29504967 | C2 | semidirect |
| 5. #29504515 | C2 | semidirect |
| 6. #29504504 | C2 | semidirect |
| 7. D4⋊C8×C239 | C2 | semidirect |
| 55. Dic478 | D8 | semidirect |
| 107. C239 | #1621 | semidirect |
| 115. D4⋊C8 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505443 | 2 |
| #29505149 | 2 |
| #29504973 | 2 |
| #29504967 | 2 |
| #29504515 | 2 |
| #29504504 | 2 |
| D4⋊C8×C239 | 2 |
| #1621 | 239 |