Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
308 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 59 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. #29505119 | C2 | semidirect |
| 3. #29505053 | C2 | semidirect |
| 4. #29504977 | C2 | semidirect |
| 5. #29504515 | C2 | semidirect |
| 6. #29504501 | C2 | semidirect |
| 7. D4⋊C8×C239 | C2 | semidirect |
| 11. #21439960 | C22 | semidirect |
| 18. C4⋊(C239⋊C8) | C22 | semidirect |
| 23. C4⋊C8×C239 | C22 | semidirect |
| 24. C4×C8×C239 | C22 | semidirect |
| 66. D956 | SD16 | semidirect |
| 109. C239 | #1639 | semidirect |
| 117. D4⋊C8 | D239 | semidirect |
| 130. C4⋊C8 | C2×D239 | semidirect |
| 134. C4×C8 | C2×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D956 | 2 |
| #29505119 | 2 |
| #29505053 | 2 |
| #29504977 | 2 |
| #29504515 | 2 |
| #29504501 | 2 |
| D4⋊C8×C239 | 2 |
| #1639 | 239 |