Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
332 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 67 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. #29504828 | C2 | semidirect |
| 3. #29504516 | C2 | semidirect |
| 4. #29504515 | C2 | semidirect |
| 5. #331×C239 | C2 | semidirect |
| 12. C4⋊(C239⋊C8) | C22 | semidirect |
| 16. C4⋊C8×C239 | C22 | semidirect |
| 74. C239 | #1555 | semidirect |
| 80. #331 | D239 | semidirect |
| 89. C4⋊C8 | C2×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #127×D239 | 2 |
| #29504828 | 2 |
| #29504516 | 2 |
| #29504515 | 2 |
| #331×C239 | 2 |
| #1555 | 239 |